Exam 20: Electric Circuits

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An RC circuit consists of a resistor with resistance 1.0 k Ω\varOmega , a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. -How much charge will be stored in each capacitor after a long time has elapsed?  An RC circuit consists of a resistor with resistance 1.0 k \varOmega  , a 120-V battery, and two capacitors, C1 and C2, with capacitances of 20.0 µF and 60.0 µF, respectively. Initially, the capacitors are uncharged; and the switch is closed at t = 0 s. -How much charge will be stored in each capacitor after a long time has elapsed?

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A

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V. Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V.   -What is the equivalent resistance between the points A and B? -What is the equivalent resistance between the points A and B?

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C

Which one of the following combinations of units is equivalent to the ohm?

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D

Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V.  Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V.   -What is the current through the 30- \varOmega  resistor? -What is the current through the 30- Ω\varOmega resistor?

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Some light bulbs are connected in parallel to a 120 V source as shown in the figure. Each bulb dissipates an average power of 60 W. The circuit has a fuse F that burns out when the current in the circuit exceeds 9 A. Determine the largest number of bulbs, which can be used in this circuit without burning out the fuse. Some light bulbs are connected in parallel to a 120 V source as shown in the figure. Each bulb dissipates an average power of 60 W. The circuit has a fuse F that burns out when the current in the circuit exceeds 9 A. Determine the largest number of bulbs, which can be used in this circuit without burning out the fuse.

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Four resistors and a 6-V battery are arranged as shown in the circuit diagram. Four resistors and a 6-V battery are arranged as shown in the circuit diagram.   -The smallest current passes through which resistor(s)? -The smallest current passes through which resistor(s)?

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Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V.  Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V.   -What is the potential drop across the 3.5- \varOmega  resistor? -What is the potential drop across the 3.5- Ω\varOmega resistor?

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A 3.0-A current is maintained in a simple circuit that consists of a resistor between the terminals of an ideal battery. If the battery supplies energy at a rate of 25 W, how large is the resistance?

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A lamp uses an average power of 55 W when it is connected to an rms voltage of 120 V. Which entry in the following table is correct for this circuit? A lamp uses an average power of 55 W when it is connected to an rms voltage of 120 V. Which entry in the following table is correct for this circuit?

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A 4-A current is maintained in a simple circuit with a total resistance of 2 Ω\varOmega . How much energy is delivered in forty five seconds?

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The characteristics of five wires are given in the table.  The characteristics of five wires are given in the table.   The gauge is a measure of the diameter of the wire; and #18 corresponds to a diameter of 1.2 × 10<sup>-</sup><sup>3</sup> m; and #22 corresponds to a diameter of 6.4 × 10<sup>-</sup><sup>4</sup> m. The resistivity of iron is 9.7 × 10<sup>-</sup><sup>8</sup>  \varOmega . m; and the value for copper is 1.72 × 10<sup>-</sup><sup>8</sup>  \varOmega . m. -Which one of the five wires has the largest resistance? The gauge is a measure of the diameter of the wire; and #18 corresponds to a diameter of 1.2 × 10-3 m; and #22 corresponds to a diameter of 6.4 × 10-4 m. The resistivity of iron is 9.7 × 10-8 Ω\varOmega . m; and the value for copper is 1.72 × 10-8 Ω\varOmega . m. -Which one of the five wires has the largest resistance?

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Four resistors and a 6-V battery are arranged as shown in the circuit diagram. Four resistors and a 6-V battery are arranged as shown in the circuit diagram.   -The largest potential difference is across which resistor(s)? -The largest potential difference is across which resistor(s)?

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Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V.  Five resistors are connected as shown in the diagram. The potential difference between points A and B is 25 V.   -What is the current through the 1.8- \varOmega  resistor? -What is the current through the 1.8- Ω\varOmega resistor?

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Which one of the following statements concerning resistance is true?

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Determine the power dissipated by the 40- Ω\varOmega resistor in the circuit shown.  Determine the power dissipated by the 40- \varOmega  resistor in the circuit shown.

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The figure shows a circuit. The switch S can be closed on either point A or C, but not both at the same time. Use the following quantities: V1 = V2 = 12 V R1 = R4 = 1.0 Ω\varOmega R2 = R3 = 2.0 Ω\varOmega  The figure shows a circuit. The switch S can be closed on either point A or C, but not both at the same time. Use the following quantities: V<sub>1</sub> = V<sub>2</sub> = 12 V R<sub>1</sub> = R<sub>4</sub> = 1.0  \varOmega  R<sub>2</sub> = R<sub>3</sub> = 2.0  \varOmega   -At what rate is energy dissipated by R<sub>1</sub> when the switch S is closed on A? -At what rate is energy dissipated by R1 when the switch S is closed on A?

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Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V.  Three resistors are placed in a circuit as shown. The potential difference between points A and B is 30 V.   -What is the potential drop across the 10- \varOmega  resistor? -What is the potential drop across the 10- Ω\varOmega resistor?

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The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s the potential difference between the capacitor plates is reduced to 37 % of its original value. The figure shows a simple RC circuit consisting of a 10.0-µF capacitor in series with a resistor. Initially, the switch is open as suggested in the figure. The capacitor has been charged so that the potential difference between its plates is 100.0 V. At t = 0 s, the switch is closed. The capacitor discharges exponentially so that 2.0 s after the switch is closed, the potential difference between the capacitor plates is 37 V. In other words, in 2.0 s the potential difference between the capacitor plates is reduced to 37 % of its original value.   -Determine the potential drop across the resistor R at t = 2.0 s (i.e., two seconds after the switch is closed). -Determine the potential drop across the resistor R at t = 2.0 s (i.e., two seconds after the switch is closed).

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Complete the following statement: The unit kilowatt . hour measures

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Complete the following statement: A simple series circuit contains a resistance R and an ideal battery. If a second resistor is connected in parallel with R,

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