Exam 28: Fundamentals of Circuits
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A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I1 is closest to 

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(Multiple Choice)
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Correct Answer:
B
The power rating of a 400-Ω resistor is 0.800 W.
(a) What is the maximum voltage that can be applied across this resistor without damaging it?
(b) What is the maximum current this resistor can draw without damaging it?
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(Short Answer)
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Correct Answer:
(a) 17.9 V (b) 44.7 mA
For the circuit shown in the figure, determine the current in
(a) the 1.0-Ω resistor.
(b) the 3.0-Ω resistor.
(c) the 4.0-Ω resistor. 

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(Short Answer)
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Correct Answer:
(a) 2.8 A (b) 1.2 A (c) 0.90 A
In the circuit shown in the figure, all the lightbulbs are identical. Which of the following is the correct ranking of the brightness of the bulbs? 

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A 1500-W heater is connected to a 120-V line. How much heat energy does it produce in 2.0 hours?
(Multiple Choice)
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A light bulb is connected to a 110-V source. What is the resistance of this bulb if it is a 100-W bulb?
(Multiple Choice)
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When a 20.0-ohm resistor is connected across the terminals of a 12.0-V battery, the voltage across the terminals of the battery falls by 0.300 V. What is the internal resistance of this battery?
(Multiple Choice)
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In the circuit shown in the figure, two 360.0-Ω resistors are connected in series with an ideal source of emf. A voltmeter with internal resistance of 6350 Ω is connected across one of the resistors and reads 3.23 V. Find the emf of the source. 

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The voltage and power ratings of a particular light bulb, which are its normal operating values, are 110 V and 60 W. Assume the resistance of the filament of the bulb is constant and is independent of operating conditions. If the light bulb is operated at a reduced voltage and the power drawn by the bulb is 36 W, what is the operating voltage of the bulb?
(Multiple Choice)
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A galvanometer has an internal resistance of 100 Ω and deflects full-scale at 2.00 mA. What size resistor should be added to the galvanometer to convert it to a milliammeter capable of reading up to 4.00 mA, and how should this resistor be connected to the galvanometer?
(Multiple Choice)
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What is the maximum current that can be drawn from a 1.50-V battery with an internal resistance of 0.30 ohm?
(Multiple Choice)
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For the circuit shown in the figure, the switch S is initially open and the capacitor voltage is 80 V. The switch is then closed at time t = 0. What is the charge on the capacitor when the current in the circuit is 33 μA? 

(Multiple Choice)
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The emf and the internal resistance of a battery are as shown in the figure. If a current of 8.3 A is drawn from the battery when a resistor R is connected across the terminals ab of the battery, what is the power dissipated by the resistor R? 

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A multiloop circuit is shown in the figure. It is not necessary to solve the entire circuit. The current I2 is closest to 

(Multiple Choice)
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Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are accurate to 2 significant figures, what is the equivalent resistance between points A and B? 

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For the circuit shown in the figure, I = 0.50 A and R = 12 Ω. What is the value of the emf ε? 

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A galvanometer has a coil with a resistance of 24.0 Ω, and a current of 180 μA causes it to deflect full scale. If this galvanometer is to be used to construct an ammeter that can read up to 10.0 A, what shunt resistor is required?
(Multiple Choice)
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A 4.00-Ω resistor, an 8.00-Ω resistor, and a 24.0-Ω resistor are connected together.
(a) What is the maximum resistance that can be produced using all three resistors?
(b) What is the minimum resistance that can be produced using all three resistors?
(c) How would you connect these three resistors to obtain a resistance of 10.0 Ω?
(d) How would you connect these three resistors to obtain a resistance of 8.00 Ω?
(Essay)
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A multiloop circuit is shown in the figure. Some circuit quantities are not labeled. It is not necessary to solve the entire circuit. The current I2 is closest to 

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An uncharged 30.0-µF capacitor is connected in series with a 25.0-Ω resistor, a DC battery, and an open switch. The battery has an internal resistance of 10.0 Ω and the open-circuit voltage across its terminals is 50.0 V. The leads have no appreciable resistance. At time t = 0, the switch is suddenly closed.
(a) What is the maximum current through the 25.0-Ω resistor and when does it occur (immediately after closing the switch or after the switch has been closed for a long time)?
(b) What is the maximum charge that the capacitor receives?
(c) When the current in the circuit is 0.850 A, how much charge is on the plates of the capacitor?
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