Exam 26: Capacitance and Dielectrics

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A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. While it is connected to the battery, the space between the plates is filled with a material of dielectric constant 3. After the dielectric is added, the magnitude of the charge on the plates and the new capacitance are

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E

A 0.16 pF parallel-plate capacitor is charged to 10 V. Then the battery is disconnected from the capacitor. When 1.00 × 107 positive charges of magnitude |e| are now placed on the positive plate of the capacitor, the voltage between the plates changes by

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E

What is the equivalent capacitance of the combination shown? What is the equivalent capacitance of the combination shown?

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B

A 15-μF capacitor is charged to 40 V and then connected across an initially uncharged 25-μF capacitor. What is the final potential difference across the 25-μF capacitor?

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A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery. After the plates are 2d apart, the capacitance of the capacitor and the magnitude of the charge on the plates are

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The equivalent capacitance of the circuit shown below is The equivalent capacitance of the circuit shown below is

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A parallel plate capacitor is charged to voltage V and then disconnected from the battery. Leopold says that the voltage will decrease if the plates are pulled apart. Gerhardt says that the voltage will remain the same. Which one, if either, is correct, and why?

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What total energy is stored in the group of capacitors shown if the potential difference Vab is equal to 50 V? What total energy is stored in the group of capacitors shown if the potential difference V<sub>ab</sub> is equal to 50 V?

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Determine the energy stored by C4 when C1 = 20 μF, C2 = 10 μF, C3 = 14 μF, C4 = 30 μF, and V0 = 45 V. Determine the energy stored by C<sub>4</sub> when C<sub>1</sub> = 20 μF, C<sub>2</sub> = 10 μF, C<sub>3</sub> = 14 μF, C<sub>4</sub> = 30 μF, and V<sub>0</sub> = 45 V.

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A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. The plates are pulled apart to a separation 2d while the capacitor remains connected to the battery. After the plates are 2d apart, the magnitude of the charge on the plates and the potential difference between them are

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A parallel plate capacitor of capacitance C0 has plates of area A with separation d between them. When it is connected to a battery of voltage V0, it has charge of magnitude Q0 on its plates. It is then disconnected from the battery and the space between the plates is filled with a material of dielectric constant 3. After the dielectric is added, the magnitudes of the charge on the plates and the potential difference between them are

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Which of the following is not a capacitance?

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A 25-μF capacitor charged to 50 V and a capacitor C charged to 20 V are connected to each other, with the two positive plates connected and the two negative plates connected. The final potential difference across the 25-μF capacitor is 36 V. What is the value of the capacitance of C?

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The equivalent capacitance of the circuit shown below is The equivalent capacitance of the circuit shown below is

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A 30-μF capacitor is charged to 80 V and then connected across an initially uncharged capacitor of unknown capacitance C. If the final potential difference across the 30-μF capacitor is 20 V, determine C.

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When a capacitor has a charge of magnitude 80 μC on each plate the potential difference across the plates is 16 V. How much energy is stored in this capacitor when the potential difference across its plates is 42 V?

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A 30-μF capacitor is charged to an unknown potential V0 and then connected across an initially uncharged 10-μF capacitor. If the final potential difference across the 10-μF capacitor is 20 V, determine V0.

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What is the total energy stored by C3 when C1 = 50 μF, C2 = 30 μF, C3 = 36 μF, C4 = 12 μF, and V0 = 30 V? What is the total energy stored by C<sub>3</sub> when C<sub>1</sub> = 50 μF, C<sub>2</sub> = 30 μF, C<sub>3</sub> = 36 μF, C<sub>4</sub> = 12 μF, and V<sub>0</sub> = 30 V?

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An initially uncharged parallel plate capacitor of capacitance C is charged to potential V by a battery. The battery is then disconnected. Which statement is correct?

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A 20-μF capacitor charged to 2.0 kV and a 40-μF capacitor charged to 3.0 kV are connected to each other, with the positive plate of each connected to the negative plate of the other. What is the final charge on the 20-μF capacitor after the two are so connected?

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