Exam 20: Electric Circuits

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The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-µF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V. The figure shows a simple RC circuit consisting of a 100.0-V battery in series with a 10.0-µF capacitor and a resistor. Initially, the switch S is open and the capacitor is uncharged. Two seconds after the switch is closed, the voltage across the resistor is 37 V.   -How much charge is on the capacitor 2.0 s after the switch is closed? -How much charge is on the capacitor 2.0 s after the switch is closed?

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

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A 4.5-V battery is connected to two resistors connected in series as shown in the drawing. Determine the total power dissipated in the resistors. A 4.5-V battery is connected to two resistors connected in series as shown in the drawing. Determine the total power dissipated in the resistors.

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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 30- \varOmega  resistor? -What is the potential drop across the 30- Ω\varOmega 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 current through the 3.6- \varOmega  resistor? -What is the current through the 3.6- Ω\varOmega resistor?

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An uncharged 5.0-µF capacitor and a resistor are connected in series to a 12-V battery and an open switch to form a simple RC circuit. The switch is closed at t = 0 s. The time constant of the circuit is 4.0 s. -Determine the maximum charge on the capacitor.

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What is the total power dissipated in the two resistors in the circuit shown? What is the total power dissipated in the two resistors in the circuit shown?

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A 75-W and 50-W incandescent light bulbs are designed for use with the same voltage. What is the ratio of the resistance of the 75-W bulb to the resistance of the 50-W bulb?

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Five resistors are connected as shown. What is the equivalent resistance between points A and B? Five resistors are connected as shown. What is the equivalent resistance between points A and B?

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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 wires carries the smallest current when they are connected to identical batteries? 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 wires carries the smallest current when they are connected to identical batteries?

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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 resistance of the iron? -What is the resistance of the iron?

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Three parallel plate capacitors, each having a capacitance of 1.0 µF are connected in parallel. The potential difference across the combination is 100 V. What is the charge on any one of the capacitors?

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Which one of the following statements concerning capacitors of unequal capacitance connected in series is true?

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Two wires A and B are made of the same material and have the same diameter. Wire A is twice as long as wire B. If each wire has the same potential difference across its ends, which one of the following statements is true concerning the current in wire A?

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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 3.6- \varOmega resistor? -What is the current in the 3.6- Ω\varOmega resistor?

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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 3- \varOmega  resistor? -How much current flows through the 3- Ω\varOmega resistor?

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Three resistors, 4.0- Ω\varOmega , 8.0- Ω\varOmega , 16- Ω\varOmega , are connected in parallel in a circuit. What is the equivalent resistance of this combination of resistors?

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A 3.5-A current is maintained in a simple circuit with a total resistance of 1500 Ω\varOmega . What net charge passes through any point in the circuit during a thirty second interval?

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Determine the length of a copper wire that has a resistance of 0.172 Ω\varOmega and cross-sectional area of 7.85 × 10-5 m2. The resistivity of copper is 1.72 × 10-8 Ω\varOmega . m.

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When two capacitors are connected in series, the equivalent capacitance of the combination is 120 µF. When the two are connected in parallel, however, the equivalent capacitance is 480 µF. What are the capacitances of the individual capacitors?

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