Exam 23: Circuits

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You obtain a 100-W light bulb and a 50-W light bulb. Instead of connecting them in the normal way, you devise a circuit that places them in series across normal household voltage. If each one is an incandescent bulb of fixed resistance, which statement about these bulbs is correct?

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Three capacitors of equal capacitance are arranged as shown in the figure, with a voltage source across the combination. If the voltage drop across C1 is 10.0 V10.0 \mathrm {~V} what is the voltage drop across C3?C _ { 3 } ?  Three capacitors of equal capacitance are arranged as shown in the figure, with a voltage source across the combination. If the voltage drop across C<sub>1</sub> is  10.0 \mathrm {~V}  what is the voltage drop across  C _ { 3 } ?

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The following three appliances are connected in parallel across an ideal 120-V dc power source: 1200-W toaster, 650-W coffee pot, and 600-W microwave. If all were operated at the same time what total current would they draw from the source?

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As more resistors are added in parallel across a constant voltage source, the power supplied by the source

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A 5.0-μF, a 14-μF, and a 21-μF capacitor are connected in series. How much capacitance would a single capacitor need to have to replace the three capacitors?

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An ideal 100-V dc battery is applied across a series combination of four resistors having resistances of 20 Ω, 40 Ω, 60 Ω, and 80 Ω. What is the potential difference across the 40-Ω resistor?

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An ideal 10.0-V dc is connected across a 590.0Ω590.0 - \Omega resistor in series with an 840,0Ω840,0 - \Omega resistor. What is the potential drop across the 590.0Ω590.0 \Omega resistor?

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Determine the current in the 12-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal. Determine the current in the 12-Ω resistor for the circuit shown in the figure assuming that the batteries are ideal.

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For the circuit shown in the figure, R1 = 18 ?, R2 = 44 ?, R3 = 33 ?, R4 = 14 ?, R5 = 12 ?, V1 = 18 V, V2 = 12 V, and the batteries are ideal. Determine I1 and I2. For the circuit shown in the figure, R<sub>1</sub> = 18 ?, R<sub>2</sub> = 44 ?, R<sub>3</sub> = 33 ?, R<sub>4</sub> = 14 ?, R<sub>5</sub> = 12 ?, V<sub>1 </sub>= 18<sub> </sub>V, V<sub>2</sub> = 12 V, and the batteries are ideal. Determine I<sub>1</sub> and I<sub>2</sub>.

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A capacitor C is connected in series with a resistor R across a battery and an open switch. If a second capacitor of capacitance 2C is connected in parallel with the first one, the time constant of the new RC circuit will be

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If V = 40 V and the battery is ideal, what is the potential difference across R1 in the figure? If V = 40 V and the battery is ideal, what is the potential difference across R<sub>1</sub> in the figure?

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A multiloop circuit is shown in the figure. Find the current I2 if the batteries are ideal. (It is not necessary to solve the entire circuit.) A multiloop circuit is shown in the figure. Find the current I<sub>2</sub><sup> </sup>if the batteries are ideal. (It is not necessary to solve the entire circuit.)

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For the circuit shown in the figure, R1 = 5.6 Ω, R2 = 5.6 Ω, R3 = 14 Ω, and ε = 6.0 V, and the battery is ideal. (a)What is the equivalent resistance across the battery? (b)Find the current through each resistor. For the circuit shown in the figure, R<sub>1</sub> = 5.6 Ω, R<sub>2</sub> = 5.6 Ω, R<sub>3</sub> = 14 Ω, and ε = 6.0 V, and the battery is ideal. (a)What is the equivalent resistance across the battery? (b)Find the current through each resistor.

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For the circuit shown in the figure, V = 60 V, C = 20 µF, R = 0.10 MΩ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 8.0 s after closing the switch? For the circuit shown in the figure, V = 60 V, C = 20 µF, R = 0.10 MΩ, and the battery is ideal. Initially the switch S is open and the capacitor is uncharged. The switch is then closed at time t = 0.00 s. What is the charge on the capacitor 8.0 s after closing the switch?

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A 5-µF, a 7-µF, and an unknown capacitor CX are connected in parallel between points a and b as shown in the figure. What do you know about the equivalent capacitance Cab between a and b? (There could be more than one correct choice.) A 5-µF, a 7-µF, and an unknown capacitor C<sub>X</sub> are connected in parallel between points a and b as shown in the figure. What do you know about the equivalent capacitance C<sub>ab</sub> between a and b? (There could be more than one correct choice.)

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Five 2.0-Ω resistors are connected as shown in the figure. What is the equivalent resistance of this combination between points a and b? Five 2.0-Ω resistors are connected as shown in the figure. What is the equivalent resistance of this combination between points a and b?

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If V = 20 V and the battery is ideal, what is the current through R3 in the figure? If V = 20 V and the battery is ideal, what is the current through R<sub>3</sub> in the figure?

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A 22-A current flows into a parallel combination of 4.0-Ω, 6.0-Ω, and 12-Ω resistors. What current flows through the 12-Ω resistor?

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The capacitor shown in the circuit in the figure is initially uncharged when the switch S is suddenly closed, and the battery is ideal. After one time constant has gone by, find (a)the current through the resistor and (b)the charge on the capacitor. Assume that the numbers shown are all accurate to two significant figures. The capacitor shown in the circuit in the figure is initially uncharged when the switch S is suddenly closed, and the battery is ideal. After one time constant has gone by, find (a)the current through the resistor and (b)the charge on the capacitor. Assume that the numbers shown are all accurate to two significant figures.

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The capacitive network shown in the figure is assembled with initially uncharged capacitors. Assume that all the quantities in the figure are accurate to two significant figures. The switch S in the network is kept open throughout. What is the total energy stored in the seven capacitors? The capacitive network shown in the figure is assembled with initially uncharged capacitors. Assume that all the quantities in the figure are accurate to two significant figures. The switch S in the network is kept open throughout. What is the total energy stored in the seven capacitors?

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