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Capacitors: Energy, Voltage & Capacitance with Dielectric.

A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False.

1. After being disconnected from the battery, inserting a dielectric with k will decrease V.
2. After being disconnected from the battery, increasing d increases U.
3. With the capacitor connected to the battery, decreasing d decreases Q.
4. With the capacitor connected to the battery, inserting a dielectric with k will increase C.
5. After being disconnected from the battery, inserting a dielectric with k will decrease U.
6. After being disconnected from the battery, decreasing d increases C.

Solution Summary

The dielectric slab is inserted in a charged capacitor and the change in voltage and energy is calculated in two cases (1) with the battery connected and (2) battery disconnected before the slab inserted.

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