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Deck 18: Direct-Current Circuits
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Which resistor is in series with resistor R? 
A)R1
B)R2
C)R3
D)R4
A)R1
B)R2
C)R3
D)R4
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Resistors of values R1 = 6.00 Ω,R2 = 4.00 Ω,R3 = 10.0 Ω,and R4 = 7.00 Ω are combined as shown.What is the equivalent resistance for this combination? 
A)2.30 Ω
B)3.00 Ω
C)10.7 Ω
D)27.0 Ω
A)2.30 Ω
B)3.00 Ω
C)10.7 Ω
D)27.0 Ω
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To find the equivalent resistance of the combination of resistors shown across the 28-V battery by the method of possibly repeated applications of combining resistors in series and /or combining resistors in parallel,the first step would be which of the following? 
A)Combine the two 10 Ω in parallel since they can be done in your head.
B)Combine,in series,the two 3-Ω resistors and the 4-Ω resistor in the right-hand branch of the circuit.
C)Combine the seven resistors (two 5 Ω,three 3 Ω,one 2 Ω and one 4 Ω)in the outer loop of the circuit in series.
D)This problem cannot be done by combining series and parallel resistors.
A)Combine the two 10 Ω in parallel since they can be done in your head.
B)Combine,in series,the two 3-Ω resistors and the 4-Ω resistor in the right-hand branch of the circuit.
C)Combine the seven resistors (two 5 Ω,three 3 Ω,one 2 Ω and one 4 Ω)in the outer loop of the circuit in series.
D)This problem cannot be done by combining series and parallel resistors.
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To find the equivalent resistance of the combination of resistors shown below by the method of possibly repeated applications of combining resistors in series and /or combining resistors in parallel,the first step would be which of the following? 
A)Combine the 6.0 Ω and the 7.0 Ω in series.
B)Combine either the 4.0 Ω and the 10.0 Ω in parallel or the 7.0 Ω and the 10.0 Ω in parallel first,since either could be the first step with the other the second step.
C)Combine the 4.0 Ω and the 10.0 Ω in series.
D)Combine the 6.0 Ω,the 4.0 Ω,and the 10.0 Ω in series in a single step.
A)Combine the 6.0 Ω and the 7.0 Ω in series.
B)Combine either the 4.0 Ω and the 10.0 Ω in parallel or the 7.0 Ω and the 10.0 Ω in parallel first,since either could be the first step with the other the second step.
C)Combine the 4.0 Ω and the 10.0 Ω in series.
D)Combine the 6.0 Ω,the 4.0 Ω,and the 10.0 Ω in series in a single step.
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Five resistors each have resistance R.Three of the resistors are connected in series and this combination is then connected in parallel with the two other resistors which have been connected in series with each other.What is the equivalent resistance for this arrangement?
A)
B)
C)
D)
A)
B)
C)
D)
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Three resistors connected in parallel have individual values of 4.0,6.0,and 10.0 Ω,respectively.If this combination is connected in series with a 12-V battery and a 2.0-Ω resistor,what is the current in the 10.0-Ω resistor? 
A)0.55 A
B)1.0 A
C)11 A
D)16 A
A)0.55 A
B)1.0 A
C)11 A
D)16 A
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What is the equivalent resistance for these 3.00-Ω resistors? 
A)1.33 Ω
B)2.25 Ω
C)3.00 Ω
D)7.50 Ω
A)1.33 Ω
B)2.25 Ω
C)3.00 Ω
D)7.50 Ω
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Which two resistors are in parallel with each other? 
A)R and R4
B)R2 and R3
C)R2 and R4
D)R and R1
A)R and R4
B)R2 and R3
C)R2 and R4
D)R and R1
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Consider the circuit shown in the figure.What power is dissipated by the entire circuit? 
A)14 W
B)28 W
C)52 W
D)110 W
A)14 W
B)28 W
C)52 W
D)110 W
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How much current is flowing in one of the 10-Ω resistors? 
A)0.80 A
B)2.0 A
C)1.6 A
D)2.4 A
A)0.80 A
B)2.0 A
C)1.6 A
D)2.4 A
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In the circuit segment shown if I = 7 mA and Q = 50 µC,what is the potential difference,VA - VB? 
A)−40 V
B)+40 V
C)+20 V
D)-20 V
A)−40 V
B)+40 V
C)+20 V
D)-20 V
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If ε = 9.0 V,what is the current in the 15-Ω resistor? 
A)0.20 A
B)0.30 A
C)0.10 A
D)0.26 A
A)0.20 A
B)0.30 A
C)0.10 A
D)0.26 A
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What is the current through the 2.0-Ω resistor? 
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
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What is the current flowing through the 2-Ω resistor? 
A)2 A
B)3 A
C)4 A
D)6 A
A)2 A
B)3 A
C)4 A
D)6 A
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If ε = 20 V,at what rate is thermal energy being generated in the 20-Ω resistor? 
A)6.5 W
B)1.6 W
C)15 W
D)26 W
A)6.5 W
B)1.6 W
C)15 W
D)26 W
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What is Kirchhoff's 1st equation for this junction? 
A)I1 = I2 + I3
B)I2 = I1+ I2
C)I3 = I1 + I2
D)I1 + I2 + I3 = 0
A)I1 = I2 + I3
B)I2 = I1+ I2
C)I3 = I1 + I2
D)I1 + I2 + I3 = 0
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How much power is being dissipated by one of the 10-Ω resistors? 
A)24 W
B)9.6 W
C)16 W
D)6.4 W
A)24 W
B)9.6 W
C)16 W
D)6.4 W
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What is the potential difference between points a and b? 
A)6.0 V
B)8.0 V
C)12 V
D)24 V
A)6.0 V
B)8.0 V
C)12 V
D)24 V
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What is the current through the 8.0-Ω resistor? 
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
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If I1 goes to the right through R1,I2 goes to the right through R2,and I3 goes to the right through R3,what is the resulting equation resulting from applying Kirchhoff's junction rule at point b? 
A)I1 + I2 + I3 = 0
B)I1 + I2 - I3 = 0
C)I1 - I2 + I3 = 0
D)I1 - I2 - I3 = 0
A)I1 + I2 + I3 = 0
B)I1 + I2 - I3 = 0
C)I1 - I2 + I3 = 0
D)I1 - I2 - I3 = 0
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If ε = 24 V,at what rate is thermal energy generated in the 20-Ω resistor? 
A)13 W
B)3.2 W
C)23 W
D)39 W
A)13 W
B)3.2 W
C)23 W
D)39 W
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If I = 2.0 mA and the potential difference,VA - VB = +30 V in the circuit segment shown,determine the charge and polarity of the capacitor. 
A)1.5 mC,left plate is positive
B)1.5 mC,right plate is positive
C)0.45 mC,left plate is positive
D)0.45 mC,right plate is positive
A)1.5 mC,left plate is positive
B)1.5 mC,right plate is positive
C)0.45 mC,left plate is positive
D)0.45 mC,right plate is positive
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If I1 goes to the right through R1,I2 goes to the right through R2,and I3 goes to the right through R3,what is the resulting equation resulting from applying Kirchhoff's loop rule for a clockwise loop around the perimeter of the circuit? 
A)8.0 V + I1R1 + I3R3 = 0
B)8.0 V + I1R1 - I3R3 = 0
C)8.0 V - I1R1 + I3R3 = 0
D)-8.0 V + I1R1 + I3R3 = 0
A)8.0 V + I1R1 + I3R3 = 0
B)8.0 V + I1R1 - I3R3 = 0
C)8.0 V - I1R1 + I3R3 = 0
D)-8.0 V + I1R1 + I3R3 = 0
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What is the current flowing through the 4-Ω resistor? 
A)1 A
B)2 A
C)3 A
D)6 A
A)1 A
B)2 A
C)3 A
D)6 A
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The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω. 
What is the resistance of the bulb?
A)0.079 Ω
B)1.5 Ω
C)5.2 Ω
D)5.6 Ω
What is the resistance of the bulb?
A)0.079 Ω
B)1.5 Ω
C)5.2 Ω
D)5.6 Ω
Question
A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-μF capacitor are connected in series with a switch.The time constant for such a circuit,designated by the Greek letter,τ,is defined as the time that the capacitor takes to charge to 63% of its capacity after the switch is closed.What is the current in the circuit at a time interval of τ seconds after the switch has been closed? 
A)0.14 A
B)0.21 A
C)0.12 A
D)0.32 A
A)0.14 A
B)0.21 A
C)0.12 A
D)0.32 A
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A 10-V-emf battery is connected in series with the following: a 2-μF capacitor,a 2-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.After the switch has been closed for a relatively long period (several seconds,say),what are the current and capacitor voltage readings,respectively? 
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
Question
A 1 000-V battery,a 3 000-Ω resistor and a 0.50-µF capacitor are connected in series with a switch.The time constant for such a circuit,designated by the Greek letter,τ,is defined as the time required to charge the capacitor to 63% of its capacity after the switch is closed.What is the value of τ for this circuit? 
A)6.0 × 109 s
B)1.7 × 10−10 s
C)1.7 × 10−7 s
D)1.5 × 10−3 s
A)6.0 × 109 s
B)1.7 × 10−10 s
C)1.7 × 10−7 s
D)1.5 × 10−3 s
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A series RC circuit has a time constant of 1.0 s.The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA.The capacitor is initially uncharged.What is the charge on the capacitor 2.0 s after the switch is closed? 
A)0.43 C
B)0 66 C
C)0.86 C
D)0.99 C
A)0.43 C
B)0 66 C
C)0.86 C
D)0.99 C
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A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed? 
A)zero
B)0.10 μC
C)3.6 μC
D)2.4 μC
A)zero
B)0.10 μC
C)3.6 μC
D)2.4 μC
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The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What percent of the dissipated power is dissipated in the batteries?
A)10.2%
B)6.3%
C)1.6%
D)1.9%
What percent of the dissipated power is dissipated in the batteries?
A)10.2%
B)6.3%
C)1.6%
D)1.9%
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The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What is I2?
A)-1.7 A
B)2.2 A
C)6.1 A
D)-5.0 A
What is I2?
A)-1.7 A
B)2.2 A
C)6.1 A
D)-5.0 A
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The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What is I1?
A)-1.7 A
B)3.1 A
C)0.63 A
D)-1.4 A
What is I1?
A)-1.7 A
B)3.1 A
C)0.63 A
D)-1.4 A
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A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch all in series.What will be the current reading immediately after the switch is closed? 
A)zero
B)0.75 A
C)1.5 A
D)10 A
A)zero
B)0.75 A
C)1.5 A
D)10 A
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A 10-V-emf battery is connected in series with the following: a 2-µF capacitor,a 2.0-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.At the instant the switch is closed,what are the current and capacitor voltage readings,respectively? 
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
Question
The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
-What is ?
A)34 V
B)-9.8 V
C)22 V
D)-2.2 V
-What is ?
A)34 V
B)-9.8 V
C)22 V
D)-2.2 V
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A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-µF capacitor are connected in series with a switch.The capacitor is initially uncharged.What is the value of the current the moment after the switch is closed? 
A)0.39 A
B)0.33 A
C)0.84 A
D)2 000 A
A)0.39 A
B)0.33 A
C)0.84 A
D)2 000 A
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Deck 18: Direct-Current Circuits
1
When a light bulb is turned on,its resistance increases until it reaches operating temperature.What happens to the current in the bulb as it is warming up?
A)It stays constant.
B)It increases.
C)It decreases.
D)It increases at first and then decreases.
A)It stays constant.
B)It increases.
C)It decreases.
D)It increases at first and then decreases.
It decreases.
2
When a 35.0-Ω resistor is connected across a 4.50-V battery,a current of 500 mA flows.What is the power output delivered by the emf of the battery?
A)613 W
B)140 W
C)8.75 W
D)4.38 W
E)306 W
A)613 W
B)140 W
C)8.75 W
D)4.38 W
E)306 W
8.75 W
3
Three resistors,with values of 1.0,4.0,and 10.0 Ω,respectively,are connected in series.What is the overall resistance of this combination?
A)0.7 Ω
B)5.0 Ω
C)4.0 Ω
D)15 Ω
A)0.7 Ω
B)5.0 Ω
C)4.0 Ω
D)15 Ω
15 Ω
4
A battery has an internal resistance Rint.Connecting a wire of negligible resistance between the terminals of the battery draws the maximum current Imax from this battery.If instead a resistor is connected between the terminals,a smaller current is produced.What value resistor placed across the terminals would result in the current produced to be half of Imax?
A)0.63Rint
B)Rint
C)0.50Rint
D)0.37Rint
A)0.63Rint
B)Rint
C)0.50Rint
D)0.37Rint
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5
When a 27.0-Ω resistor is connected across a 4.50-V battery,a current of 473 mA flows.What is the resulting terminal voltage of the battery?
A)30.7 V
B)6.86 V
C)12.8 V
D)57.1 V
E)0.537 V
A)30.7 V
B)6.86 V
C)12.8 V
D)57.1 V
E)0.537 V
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6
Three resistors connected in series have individual voltages labeled ΔV1,ΔV2 and ΔV3,respectively.Which of the following expresses the value of the total voltage ΔVT taken over the three resistors together?
A)ΔVT = ΔV1 + ΔV2 + ΔV3
B)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)
C)ΔVT = ΔV1 = ΔV2 = ΔV3
D)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)−1
A)ΔVT = ΔV1 + ΔV2 + ΔV3
B)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)
C)ΔVT = ΔV1 = ΔV2 = ΔV3
D)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)−1
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7
Which resistor is in series with resistor R?
A)R1
B)R2
C)R3
D)R4
A)R1
B)R2
C)R3
D)R4
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8
An 8.00-Ω resistor is connected to a battery with internal resistance of 0.200 Ω.If the terminal voltage across the battery is 9.00 V,what is the battery's emf?
A)8.78 Ω
B)9.23 Ω
C)0.225 Ω
D)0.178 Ω
A)8.78 Ω
B)9.23 Ω
C)0.225 Ω
D)0.178 Ω
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9
Three resistors with values of R1,R2 and R3,respectively,are connected in series.Which of the following expresses the total resistance,RT,of the three resistors?
A)RT = R1 + R2 + R3
B)RT = (1/R1 + 1/R2 + 1/R3)
C)RT = R1 = R2 = R3
D)RT = (1/R1 + 1/R2 + 1/R3)−1
A)RT = R1 + R2 + R3
B)RT = (1/R1 + 1/R2 + 1/R3)
C)RT = R1 = R2 = R3
D)RT = (1/R1 + 1/R2 + 1/R3)−1
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10
The internal resistances of an ideal voltmeter and an ideal ammeter are respectively (ideal meaning the behavior of the system is not changed when using the meter):
A)zero and zero.
B)infinite and infinite.
C)zero and infinite.
D)infinite and zero.
A)zero and zero.
B)infinite and infinite.
C)zero and infinite.
D)infinite and zero.
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11
Three resistors,each with resistance R1,are in series in a circuit.They are replaced by one equivalent resistor,R.Comparing this resistor to the first resistor of the initial circuit,which of the following is true?
A)The current through R equals the current through R1.
B)The voltage across R equals the voltage across R1.
C)The power given off by R equals the power given off by R1.
D)R is less than R1.
A)The current through R equals the current through R1.
B)The voltage across R equals the voltage across R1.
C)The power given off by R equals the power given off by R1.
D)R is less than R1.
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12
When a 20.8-Ω resistor is connected across a 15.6-V battery,a current of 500 mA flows.What is the internal resistance of the battery?
A)20.8 Ω
B)10.4 Ω
C)31.2 Ω
D)0.732 Ω
E)1.25 Ω
A)20.8 Ω
B)10.4 Ω
C)31.2 Ω
D)0.732 Ω
E)1.25 Ω
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13
Which voltage is not caused by a source of emf?
A)the voltage across a charged capacitor
B)the voltage across two copper-iron junctions at different temperatures
C)the voltage across the terminals of a dry cell battery
D)the voltage from an electric generator
A)the voltage across a charged capacitor
B)the voltage across two copper-iron junctions at different temperatures
C)the voltage across the terminals of a dry cell battery
D)the voltage from an electric generator
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14
The two ends of a 6.60-Ω resistor are connected to a 14.2-V battery.What is the total power delivered by the battery to the circuit?
A)0.326 W
B)30.6 W
C)2.15 W
D)619 W
A)0.326 W
B)30.6 W
C)2.15 W
D)619 W
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15
A battery has an emf of 12.0 V and an internal resistance of 3.00 Ω.If the battery delivers 120 mA when connected to a load,what is the load resistance?
A)97.0 Ω
B)100 Ω
C)4.00 Ω
D)36.0 Ω
A)97.0 Ω
B)100 Ω
C)4.00 Ω
D)36.0 Ω
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16
The two ends of a 2.00-Ω resistor are connected to a 8.20-V battery.What is the current through the resistor?
A)16.4 A
B)0.244 A
C)4.10 A
D)10.2 A
E)6.20 A
A)16.4 A
B)0.244 A
C)4.10 A
D)10.2 A
E)6.20 A
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17
The basic function of an electromotive force in a circuit is to do which of the following?
A)Convert electrical energy into some other form of energy.
B)Convert some other form of energy into electrical energy.
C)Both choices (a)and (b)are valid.
D)None of the above choices are valid.
A)Convert electrical energy into some other form of energy.
B)Convert some other form of energy into electrical energy.
C)Both choices (a)and (b)are valid.
D)None of the above choices are valid.
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18
A battery with an emf of 12.0 V has a terminal voltage of 11.25 V when the current is 3.15 A.What is the load resistance,R?
A)0.238 Ω
B)2.34 Ω
C)3.57 Ω
D)7.38 Ω
A)0.238 Ω
B)2.34 Ω
C)3.57 Ω
D)7.38 Ω
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19
Three resistors connected in series each carry currents labeled I1,I2 and I3.Which of the following expresses the value of the total current IT in the system made up of the three resistors in series?
A)IT = I1 + I2 + I3
B)IT = (1/I1 + 1/I2 + 1/I3)
C)IT = I1 = I2 = I3
D)IT = (1/I1 + 1/I2 + 1/I3)−1
A)IT = I1 + I2 + I3
B)IT = (1/I1 + 1/I2 + 1/I3)
C)IT = I1 = I2 = I3
D)IT = (1/I1 + 1/I2 + 1/I3)−1
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20
Three 7.0-Ω resistors are connected in series.What is their equivalent resistance?
A)21 Ω
B)7.0 Ω
C)16 Ω
D)2.3 Ω
E)10 Ω
A)21 Ω
B)7.0 Ω
C)16 Ω
D)2.3 Ω
E)10 Ω
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21
Three 4.00-Ω resistors are connected in parallel to a 10.4-V battery.What is the current in any one of the resistors?
A)14.4 A
B)6.76 A
C)2.60 A
D)41.6 A
E)6.40 A
A)14.4 A
B)6.76 A
C)2.60 A
D)41.6 A
E)6.40 A
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22
Resistors of values 7 Ω,15 Ω,and 25 Ω are connected in parallel across a fresh battery.Which resistor dissipates the greatest power?
A)the 7-Ω resistor
B)the 15-Ω resistor
C)the 25-Ω resistor
D)All dissipate the same power when in parallel.
A)the 7-Ω resistor
B)the 15-Ω resistor
C)the 25-Ω resistor
D)All dissipate the same power when in parallel.
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23
Resistors of values 10 Ω,14 Ω,and 23 Ω are connected in series across a battery with a small internal resistance.Which resistor dissipates the greatest power?
A)the 10-Ω resistor
B)the 14-Ω resistor
C)the 23-Ω resistor
D)The answer depends on the internal resistance of the battery.
A)the 10-Ω resistor
B)the 14-Ω resistor
C)the 23-Ω resistor
D)The answer depends on the internal resistance of the battery.
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24
Three 6.0-Ω resistors are connected in parallel.What is their equivalent resistance?
A)0.083 Ω
B)3.0 Ω
C)0.50 Ω
D)2.0 Ω
E)6.0 Ω
A)0.083 Ω
B)3.0 Ω
C)0.50 Ω
D)2.0 Ω
E)6.0 Ω
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25
If R1 < R2 < R3,and if these resistors are connected in series in a circuit,which one dissipates the greatest power?
A)R1
B)R2
C)R3
D)All are equal in power dissipation.
A)R1
B)R2
C)R3
D)All are equal in power dissipation.
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26
Resistors of values R1 = 6.00 Ω,R2 = 4.00 Ω,R3 = 10.0 Ω,and R4 = 7.00 Ω are combined as shown.What is the equivalent resistance for this combination?
A)2.30 Ω
B)3.00 Ω
C)10.7 Ω
D)27.0 Ω
A)2.30 Ω
B)3.00 Ω
C)10.7 Ω
D)27.0 Ω
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27
Two resistors of values 6.0 and 14.0 Ω are connected in parallel.This combination in turn is hooked in series with a 2.0-Ω resistor.What is the overall resistance of this combination?
A)1.4 Ω
B)11 Ω
C)6.2 Ω
D)22 Ω
E)4.2 Ω
A)1.4 Ω
B)11 Ω
C)6.2 Ω
D)22 Ω
E)4.2 Ω
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28
If R1 < R2 < R3,and if these resistors are connected in parallel in a circuit,which one has the highest current?
A)R1
B)R2
C)R3
D)All have the same current.
A)R1
B)R2
C)R3
D)All have the same current.
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29
To find the equivalent resistance of the combination of resistors shown across the 28-V battery by the method of possibly repeated applications of combining resistors in series and /or combining resistors in parallel,the first step would be which of the following?
A)Combine the two 10 Ω in parallel since they can be done in your head.
B)Combine,in series,the two 3-Ω resistors and the 4-Ω resistor in the right-hand branch of the circuit.
C)Combine the seven resistors (two 5 Ω,three 3 Ω,one 2 Ω and one 4 Ω)in the outer loop of the circuit in series.
D)This problem cannot be done by combining series and parallel resistors.
A)Combine the two 10 Ω in parallel since they can be done in your head.
B)Combine,in series,the two 3-Ω resistors and the 4-Ω resistor in the right-hand branch of the circuit.
C)Combine the seven resistors (two 5 Ω,three 3 Ω,one 2 Ω and one 4 Ω)in the outer loop of the circuit in series.
D)This problem cannot be done by combining series and parallel resistors.
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30
Three resistors with values R1,R2 and R3,respectively,are connected in parallel.Which of the following expresses the total resistance,RT,of the three resistors when connected in parallel?
A)RT = R1 + R2 + R3
B)RT = (1/R1 + 1/R2 + 1/R3)
C)RT = R1 = R2 = R3
D)RT = (1/R1 + 1/R2 + 1/R3)−1
A)RT = R1 + R2 + R3
B)RT = (1/R1 + 1/R2 + 1/R3)
C)RT = R1 = R2 = R3
D)RT = (1/R1 + 1/R2 + 1/R3)−1
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31
Three resistors,each with resistance R1,are in parallel in a circuit.They are replaced by one equivalent resistor,R.Compare this resistor to the first resistor of the initial circuit.Which of the following statements is true?
A)The current through R equals the current through R1.
B)The voltage across R equals the voltage across R1.
C)The power given off by R equals the power given off by R1.
D)R is greater than R1.
A)The current through R equals the current through R1.
B)The voltage across R equals the voltage across R1.
C)The power given off by R equals the power given off by R1.
D)R is greater than R1.
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32
Three resistors,each of different value,are used in a circuit with a power source supplying 12 volts.For which of the following resistor combinations is the total power supplied the greatest?
A)all three resistors in series
B)all three resistors in parallel
C)two of the resistors in parallel with the third resistor in series with the parallel pair
D)This cannot be found until it is known which resistor is in series with the parallel pair.
A)all three resistors in series
B)all three resistors in parallel
C)two of the resistors in parallel with the third resistor in series with the parallel pair
D)This cannot be found until it is known which resistor is in series with the parallel pair.
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33
To find the equivalent resistance of the combination of resistors shown below by the method of possibly repeated applications of combining resistors in series and /or combining resistors in parallel,the first step would be which of the following?
A)Combine the 6.0 Ω and the 7.0 Ω in series.
B)Combine either the 4.0 Ω and the 10.0 Ω in parallel or the 7.0 Ω and the 10.0 Ω in parallel first,since either could be the first step with the other the second step.
C)Combine the 4.0 Ω and the 10.0 Ω in series.
D)Combine the 6.0 Ω,the 4.0 Ω,and the 10.0 Ω in series in a single step.
A)Combine the 6.0 Ω and the 7.0 Ω in series.
B)Combine either the 4.0 Ω and the 10.0 Ω in parallel or the 7.0 Ω and the 10.0 Ω in parallel first,since either could be the first step with the other the second step.
C)Combine the 4.0 Ω and the 10.0 Ω in series.
D)Combine the 6.0 Ω,the 4.0 Ω,and the 10.0 Ω in series in a single step.
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34
Five resistors each have resistance R.Three of the resistors are connected in series and this combination is then connected in parallel with the two other resistors which have been connected in series with each other.What is the equivalent resistance for this arrangement?
A)
B)
C)
D)
A)
B)
C)
D)
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35
Three resistors connected in parallel have individual values of 4.0,6.0,and 10.0 Ω,respectively.If this combination is connected in series with a 12-V battery and a 2.0-Ω resistor,what is the current in the 10.0-Ω resistor?
A)0.55 A
B)1.0 A
C)11 A
D)16 A
A)0.55 A
B)1.0 A
C)11 A
D)16 A
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36
Three resistors,with values of 3.00,7.00,and 15.0 Ω,respectively,are connected in parallel.What is the overall resistance of this combination?
A)25.0 Ω
B)1.84 Ω
C)0.543 Ω
D)8.33 Ω
E)6.80 Ω
A)25.0 Ω
B)1.84 Ω
C)0.543 Ω
D)8.33 Ω
E)6.80 Ω
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37
Three resistors connected in parallel have the individual voltages labeled ΔV1,ΔV2 and ΔV3,respectively.Which of the following expresses the total voltage ΔVT across the three resistors when connected in this manner?
A)ΔVT = ΔV1 + ΔV2 + ΔV3
B)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)
C)ΔVT = ΔV1 = ΔV2 = ΔV3
D)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)−1
A)ΔVT = ΔV1 + ΔV2 + ΔV3
B)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)
C)ΔVT = ΔV1 = ΔV2 = ΔV3
D)ΔVT = (1/ΔV1 + 1/ΔV2 + 1/ΔV3)−1
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38
What is the equivalent resistance for these 3.00-Ω resistors?
A)1.33 Ω
B)2.25 Ω
C)3.00 Ω
D)7.50 Ω
A)1.33 Ω
B)2.25 Ω
C)3.00 Ω
D)7.50 Ω
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39
Two resistors of values 7.0 and 15.0 Ω are connected in parallel.This combination in turn is hooked in series with a 3.8-Ω resistor and a 22.3-V battery.What is the current in the 3.8-Ω resistor?
A)21 A
B)2.6 A
C)0.86 A
D)5.9 A
E)190 A
A)21 A
B)2.6 A
C)0.86 A
D)5.9 A
E)190 A
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40
Which two resistors are in parallel with each other?
A)R and R4
B)R2 and R3
C)R2 and R4
D)R and R1
A)R and R4
B)R2 and R3
C)R2 and R4
D)R and R1
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41
Consider the circuit shown in the figure.What power is dissipated by the entire circuit?
A)14 W
B)28 W
C)52 W
D)110 W
A)14 W
B)28 W
C)52 W
D)110 W
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42
How much current is flowing in one of the 10-Ω resistors?
A)0.80 A
B)2.0 A
C)1.6 A
D)2.4 A
A)0.80 A
B)2.0 A
C)1.6 A
D)2.4 A
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43
In the circuit segment shown if I = 7 mA and Q = 50 µC,what is the potential difference,VA - VB?
A)−40 V
B)+40 V
C)+20 V
D)-20 V
A)−40 V
B)+40 V
C)+20 V
D)-20 V
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44
If ε = 9.0 V,what is the current in the 15-Ω resistor?
A)0.20 A
B)0.30 A
C)0.10 A
D)0.26 A
A)0.20 A
B)0.30 A
C)0.10 A
D)0.26 A
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45
What is the current through the 2.0-Ω resistor?
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
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46
Three resistors connected in parallel each carry currents labeled I1,I2 and I3.Which of the following expresses the value of the total current IT in the combined system?
A)IT = I1 + I2 + I3
B)IT = (1/I1 + 1/I2 + 1/I3)
C)IT = I1 = I2 = I3
D)IT = (1/I1 + 1/I2 + 1/I3)−1
A)IT = I1 + I2 + I3
B)IT = (1/I1 + 1/I2 + 1/I3)
C)IT = I1 = I2 = I3
D)IT = (1/I1 + 1/I2 + 1/I3)−1
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47
What is the current flowing through the 2-Ω resistor?
A)2 A
B)3 A
C)4 A
D)6 A
A)2 A
B)3 A
C)4 A
D)6 A
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48
Four 1.5-volt AA batteries in series power a transistor radio.If the batteries hold a total charge of 200 C,how long will they last if the radio has a resistance of 200 Ω?
A)6.0 h
B)1.9 h
C)2.6 h
D)1.4 h
E)2.4 h
A)6.0 h
B)1.9 h
C)2.6 h
D)1.4 h
E)2.4 h
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49
If ε = 20 V,at what rate is thermal energy being generated in the 20-Ω resistor?
A)6.5 W
B)1.6 W
C)15 W
D)26 W
A)6.5 W
B)1.6 W
C)15 W
D)26 W
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50
What is Kirchhoff's 1st equation for this junction?
A)I1 = I2 + I3
B)I2 = I1+ I2
C)I3 = I1 + I2
D)I1 + I2 + I3 = 0
A)I1 = I2 + I3
B)I2 = I1+ I2
C)I3 = I1 + I2
D)I1 + I2 + I3 = 0
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51
How much power is being dissipated by one of the 10-Ω resistors?
A)24 W
B)9.6 W
C)16 W
D)6.4 W
A)24 W
B)9.6 W
C)16 W
D)6.4 W
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52
What is the potential difference between points a and b?
A)6.0 V
B)8.0 V
C)12 V
D)24 V
A)6.0 V
B)8.0 V
C)12 V
D)24 V
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53
In a circuit,a current of 1.10 A is drawn from a battery.The current then divides and passes through two resistors in parallel.One of the resistors has a value of 66 Ω and the current through it is 0.480 A.What is the value of the other resistor?
A)28.8 Ω
B)51.1 Ω
C)151 Ω
D)20.1 Ω
A)28.8 Ω
B)51.1 Ω
C)151 Ω
D)20.1 Ω
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54
What is the current through the 8.0-Ω resistor?
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
A)1.0 A
B)0.50 A
C)1.5 A
D)2.0 A
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55
If I1 goes to the right through R1,I2 goes to the right through R2,and I3 goes to the right through R3,what is the resulting equation resulting from applying Kirchhoff's junction rule at point b?
A)I1 + I2 + I3 = 0
B)I1 + I2 - I3 = 0
C)I1 - I2 + I3 = 0
D)I1 - I2 - I3 = 0
A)I1 + I2 + I3 = 0
B)I1 + I2 - I3 = 0
C)I1 - I2 + I3 = 0
D)I1 - I2 - I3 = 0
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56
If ε = 24 V,at what rate is thermal energy generated in the 20-Ω resistor?
A)13 W
B)3.2 W
C)23 W
D)39 W
A)13 W
B)3.2 W
C)23 W
D)39 W
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57
If I = 2.0 mA and the potential difference,VA - VB = +30 V in the circuit segment shown,determine the charge and polarity of the capacitor.
A)1.5 mC,left plate is positive
B)1.5 mC,right plate is positive
C)0.45 mC,left plate is positive
D)0.45 mC,right plate is positive
A)1.5 mC,left plate is positive
B)1.5 mC,right plate is positive
C)0.45 mC,left plate is positive
D)0.45 mC,right plate is positive
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58
If I1 goes to the right through R1,I2 goes to the right through R2,and I3 goes to the right through R3,what is the resulting equation resulting from applying Kirchhoff's loop rule for a clockwise loop around the perimeter of the circuit?
A)8.0 V + I1R1 + I3R3 = 0
B)8.0 V + I1R1 - I3R3 = 0
C)8.0 V - I1R1 + I3R3 = 0
D)-8.0 V + I1R1 + I3R3 = 0
A)8.0 V + I1R1 + I3R3 = 0
B)8.0 V + I1R1 - I3R3 = 0
C)8.0 V - I1R1 + I3R3 = 0
D)-8.0 V + I1R1 + I3R3 = 0
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59
What is the current flowing through the 4-Ω resistor?
A)1 A
B)2 A
C)3 A
D)6 A
A)1 A
B)2 A
C)3 A
D)6 A
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60
If one doubles the emfs in a circuit and doubles the resistances in the circuit at the same time,what happens to the currents through the resistors? Assume there are only emfs and resistors in the circuit.
A)They stay the same.
B)They double.
C)They quadruple.
D)They halve.
A)They stay the same.
B)They double.
C)They quadruple.
D)They halve.
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61
Kirchhoff's rules are the junction rule and the loop rule.Which of the following statements is true?
A)Both rules are based on the conservation of charge.
B)Both rules are based on the conservation of energy.
C)The junction rule is based on the conservation of charge,and the loop rule is based on the conservation of energy.
D)The junction rule is based on the conservation of energy,and the loop rule is based on the conservation of charge.
A)Both rules are based on the conservation of charge.
B)Both rules are based on the conservation of energy.
C)The junction rule is based on the conservation of charge,and the loop rule is based on the conservation of energy.
D)The junction rule is based on the conservation of energy,and the loop rule is based on the conservation of charge.
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62
A certain capacitor is charged to 10 V and then,at t = 0,allowed to discharge through a certain resistor.There will be a certain time before the voltage across the capacitor reaches 5 V.This time can be decreased for this circuit by increasing:
A)the size of the capacitor.
B)the size of the resistor.
C)the size of the time constant.
D)None of the above.
A)the size of the capacitor.
B)the size of the resistor.
C)the size of the time constant.
D)None of the above.
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63
The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What is the resistance of the bulb?
A)0.079 Ω
B)1.5 Ω
C)5.2 Ω
D)5.6 Ω
What is the resistance of the bulb?
A)0.079 Ω
B)1.5 Ω
C)5.2 Ω
D)5.6 Ω
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64
A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-μF capacitor are connected in series with a switch.The time constant for such a circuit,designated by the Greek letter,τ,is defined as the time that the capacitor takes to charge to 63% of its capacity after the switch is closed.What is the current in the circuit at a time interval of τ seconds after the switch has been closed?
A)0.14 A
B)0.21 A
C)0.12 A
D)0.32 A
A)0.14 A
B)0.21 A
C)0.12 A
D)0.32 A
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65
A 10-V-emf battery is connected in series with the following: a 2-μF capacitor,a 2-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.After the switch has been closed for a relatively long period (several seconds,say),what are the current and capacitor voltage readings,respectively?
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
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66
A 1 000-V battery,a 3 000-Ω resistor and a 0.50-µF capacitor are connected in series with a switch.The time constant for such a circuit,designated by the Greek letter,τ,is defined as the time required to charge the capacitor to 63% of its capacity after the switch is closed.What is the value of τ for this circuit?
A)6.0 × 109 s
B)1.7 × 10−10 s
C)1.7 × 10−7 s
D)1.5 × 10−3 s
A)6.0 × 109 s
B)1.7 × 10−10 s
C)1.7 × 10−7 s
D)1.5 × 10−3 s
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67
A series RC circuit has a time constant of 1.0 s.The battery has a voltage of 50 V and the maximum current just after closing the switch is 500 mA.The capacitor is initially uncharged.What is the charge on the capacitor 2.0 s after the switch is closed?
A)0.43 C
B)0 66 C
C)0.86 C
D)0.99 C
A)0.43 C
B)0 66 C
C)0.86 C
D)0.99 C
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68
A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed?
A)zero
B)0.10 μC
C)3.6 μC
D)2.4 μC
A)zero
B)0.10 μC
C)3.6 μC
D)2.4 μC
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69
The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What percent of the dissipated power is dissipated in the batteries?
A)10.2%
B)6.3%
C)1.6%
D)1.9%
What percent of the dissipated power is dissipated in the batteries?
A)10.2%
B)6.3%
C)1.6%
D)1.9%
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70
The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What is I2?
A)-1.7 A
B)2.2 A
C)6.1 A
D)-5.0 A
What is I2?
A)-1.7 A
B)2.2 A
C)6.1 A
D)-5.0 A
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71
The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
What is I1?
A)-1.7 A
B)3.1 A
C)0.63 A
D)-1.4 A
What is I1?
A)-1.7 A
B)3.1 A
C)0.63 A
D)-1.4 A
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72
A series RC circuit,which is made from a battery,a switch,a resistor,and a 3.45-μF capacitor,has a time constant of 11.0 ms.If an additional 12.0-μF is added in series to the 3.45-μF capacitor,what is the resulting time constant?
A)38.3 ms
B)8.54 ms
C)1.19 ms
D)14.2 ms
E)This cannot be found without the value of the resistance being given.
A)38.3 ms
B)8.54 ms
C)1.19 ms
D)14.2 ms
E)This cannot be found without the value of the resistance being given.
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73
A circuit contains a 6.0-V battery,a 4.0-Ω resistor,a 0.60-µF capacitor,an ammeter,and a switch all in series.What will be the current reading immediately after the switch is closed?
A)zero
B)0.75 A
C)1.5 A
D)10 A
A)zero
B)0.75 A
C)1.5 A
D)10 A
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74
In circuits involving resistors and capacitors the quantity 63% often arises.Which of the following is equivalent to this quantity?
A)e-2
B)1 - e-1
C)1 - e-2
D)e-1
A)e-2
B)1 - e-1
C)1 - e-2
D)e-1
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75
A voltage source of 10.0 V is connected to a series RC circuit where R = 2.80 × 106 Ω,and C = 3.50 µF.Find the amount of time required for the current in the circuit to decay to 4.00% of its original value.Hint: This is the same amount of time for the capacitor to reach 96.0% of its maximum charge.
A)19.1 s
B)13.6 s
C)0.143 s
D)31.5 s
E)309 s
A)19.1 s
B)13.6 s
C)0.143 s
D)31.5 s
E)309 s
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76
In an RC circuit using two capacitors in series with two resistors,which of the following combinations would give the greatest time constant?
A)both capacitors in series placed in series with both resistors in series
B)both capacitors in parallel placed in series with both resistors in parallel
C)both capacitors in series placed in series with both resistors in parallel
D)both capacitors in parallel placed in series with both resistors in series
A)both capacitors in series placed in series with both resistors in series
B)both capacitors in parallel placed in series with both resistors in parallel
C)both capacitors in series placed in series with both resistors in parallel
D)both capacitors in parallel placed in series with both resistors in series
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77
A 10-V-emf battery is connected in series with the following: a 2-µF capacitor,a 2.0-Ω resistor,an ammeter,and a switch,initially open;a voltmeter is connected in parallel across the capacitor.At the instant the switch is closed,what are the current and capacitor voltage readings,respectively?
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
A)zero A,10 V
B)zero A,zero V
C)5 A,zero V
D)5 A,10 V
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78
The ammeter shown in the figure reads 4.4 A,R1 = 7.0 Ω,R2 = 5.0 Ω,and R3 = 2.0 Ω.
-What is ?
A)34 V
B)-9.8 V
C)22 V
D)-2.2 V
-What is ?
A)34 V
B)-9.8 V
C)22 V
D)-2.2 V
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79
Using a resistor and two different value capacitors,which of the following combinations in an RC circuit would give the greatest time constant?
A)the resistor in series with both capacitors in series with each other
B)the resistor in series with both capacitors in parallel with each other
C)the resistor in series with the larger value capacitor
D)the resistor in series with the lower value capacitor
A)the resistor in series with both capacitors in series with each other
B)the resistor in series with both capacitors in parallel with each other
C)the resistor in series with the larger value capacitor
D)the resistor in series with the lower value capacitor
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80
A 1 000-V battery,a 3 000-Ω resistor,and a 0.50-µF capacitor are connected in series with a switch.The capacitor is initially uncharged.What is the value of the current the moment after the switch is closed?
A)0.39 A
B)0.33 A
C)0.84 A
D)2 000 A
A)0.39 A
B)0.33 A
C)0.84 A
D)2 000 A
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Unlock Deck
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Unlock Deck
Unlock for access to all 96 flashcards in this deck.
