Exam 20: Electric Circuits

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A 10.0-µF capacitor is charged so that the potential difference between its plates is 10.0 V. A 5.0-µF capacitor is similarly charged so that the potential difference between its plates is 5.0 V. The two charged capacitors are then connected to each other in parallel with positive plate connected to positive plate and negative plate connected to negative plate. -What is the final potential difference across the plates of the capacitors when they are connected in parallel?

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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 numerical value of the resistance R. -Determine the numerical value of the resistance R.

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Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V.  Five resistors are connected as shown in the diagram. The potential difference between points A and B is 15 V.   -What amount of energy is dissipated in the 2.7- \varOmega  resistor in 9.0 seconds? -What amount of energy is dissipated in the 2.7- Ω\varOmega resistor in 9.0 seconds?

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The resistivity of a silver wire with a radius of 5.04 × 10-4 m is 1.59 × 10-8 Ω\varOmega . m. If the length of the wire is 3.00 m, what is the resistance of the wire?

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Three resistors and two 10.0-V batteries are arranged as shown in the circuit diagram. Which one of the following entries in the table is correct? Three resistors and two 10.0-V batteries are arranged as shown in the circuit diagram. Which one of the following entries in the table is correct?    Three resistors and two 10.0-V batteries are arranged as shown in the circuit diagram. Which one of the following entries in the table is correct?

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A 10.0-µF capacitor is charged so that the potential difference between its plates is 10.0 V. A 5.0-µF capacitor is similarly charged so that the potential difference between its plates is 5.0 V. The two charged capacitors are then connected to each other in parallel with positive plate connected to positive plate and negative plate connected to negative plate. -How much charge flows from one capacitor to the other when the capacitors are connected?

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Which one of the following quantities can be converted to kilowatt . hours (kWh)?

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A resistor dissipates 1.5 W when it is connected to a battery with a potential difference of 12 V. What is the resistance of the resistor?

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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 equivalent resistance between the points A and B? -What is the equivalent resistance between the points A and B?

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Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V. Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 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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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   -Determine the current through R<sub>4</sub> when the switch S is closed on C. -Determine the current through R4 when the switch S is closed on C.

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Jason's circuit has a 24- Ω\varOmega resistor that is connected in series to two 12- Ω\varOmega resistors that are connected in parallel. JoAnna's circuit has three identical resistors wired in parallel. If the equivalent resistance of Jason's circuit is the same as that of JoAnna's circuit, determine the value of JoAnna's resistors.

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When a 1500-W hair dryer is in use, the current passing through the dryer may be represented as I = (17.7A) sin (120 π\pi t). What is the rms current for this circuit?

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Which one of the following statements concerning superconductors is false?

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Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V.  Three resistors are connected as shown in the figure. The potential difference between points A and B is 26 V.   -How much current flows through the 2- \varOmega  resistor? -How much current flows through the 2- Ω\varOmega resistor?

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A battery supplies a total charge of 5.0 μ\mu C to a circuit that consists of a series combination of two identical capacitors, each with capacitance C. Determine the charge on either capacitor.

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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. -Of the five wires, which one has the smallest 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. -Of the five wires, which one has the smallest resistance?

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A 220- Ω\varOmega resistor is connected across an ac voltage source V = (150 V) sin [2 π\pi (60 Hz)t]. What is the average power delivered to this circuit?

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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.   -Determine the equivalent resistance for this circuit. -Determine the equivalent resistance for this circuit.

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The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet. The figure shows variation of the current through the heating element with time in an iron when it is plugged into a standard 120 V, 60 Hz outlet.   -What is the approximate average power dissipated in the iron? -What is the approximate average power dissipated in the iron?

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