Exam 20: Electric Circuits

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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   -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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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 is the current in the 2.7- \varOmega resistor? -What is the current in the 2.7- Ω\varOmega resistor?

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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 energy is dissipated when the two capacitors are connected together?

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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.   -If t<sub>1</sub> = 0.050 s, what is the value of t<sub>2</sub>? Note: The origin for the graph is not necessarily at t = 0 s. -If t1 = 0.050 s, what is the value of t2? Note: The origin for the graph is not necessarily at t = 0 s.

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A non-ideal battery has a 6.0-V emf and an internal resistance of 0.6 Ω\varOmega . Determine the terminal voltage when the current drawn from the battery is 0.5 A.

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A battery is manufactured to have an emf of 24.0 V, but the terminal voltage is only 22.0 V when the battery is connected across a 10.0- Ω\varOmega resistor. What is the internal resistance of the battery?

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Three resistors and two batteries are connected as shown in the circuit diagram. What is the magnitude of the current through the 12-V battery? Three resistors and two batteries are connected as shown in the circuit diagram. What is the magnitude of the current through the 12-V battery?

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Which one of the following circuits has the largest resistance? Which one of the following circuits has the largest resistance?

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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. -What is the current through the resistor a long time after the switch is closed? Recall that current is the charge per unit time that flows in a circuit.

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The potential difference across the ends of a wire is doubled in magnitude. If Ohm's law is obeyed, which one of the following statements concerning the resistance of the wire is true?

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A battery has a terminal voltage of 12 V when no current flows and an internal resistance of 2 Ω\varOmega . The battery is placed in series with a 1- Ω\varOmega resistor. Which one of the entries in the following table is correct?  A battery has a terminal voltage of 12 V when no current flows and an internal resistance of 2  \varOmega . The battery is placed in series with a 1- \varOmega  resistor. Which one of the entries in the following table is correct?

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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. -What is the time constant of the circuit?

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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.   -Calculate the electric potential energy stored in the capacitor before the switch is closed. -Calculate the electric potential energy stored in the capacitor before the switch is closed.

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Which one of the following statements concerning resistors in series is true?

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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 peak voltage? -What is the peak voltage?

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A 3.0-µF capacitor is connected in series with a 4.0-µF capacitor and a 48-V battery. What quantity of charge is supplied by the battery to charge the capacitors?

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How much energy is stored in the combination of capacitors shown? How much energy is stored in the combination of capacitors shown?

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A computer monitor uses 1.5 A of current when it is plugged into a 120 V outlet. The monitor is never turned off. What is the yearly cost of operating the monitor if the cost of electricity is $0.14/kWh?

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Two resistors are arranged in a circuit that carries a total current of 15 A as shown in the figure. Which one of the entries in the following table is correct? Two resistors are arranged in a circuit that carries a total current of 15 A as shown in the figure. Which one of the entries in the following table is correct?    Two resistors are arranged in a circuit that carries a total current of 15 A as shown in the figure. Which one of the entries in the following table is correct?

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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>1</sub> when the switch S is closed on A. -Determine the current through R1 when the switch S is closed on A.

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