Question

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 Volts. (C is the capacitance and U is the stored energy.) Select true or false for each statement.

1)With the capacitor connected to the battery, inserting a dielectric with κ > 1 will decrease U.

2)With the capacitor connected to the battery, decreasing d increases C.

3)After being disconnected from the battery, decreasing d increases C.

4)With the capacitor connected to the battery, inserting a dielectic with κ > 1 will decrease Q.

5)After being disconnected from the battery, increasing d decreases V.

6)With the capacitor connected to the battery, decreasing d decreases Q.

Can someone explain those relations pls?

Answer #1

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.
After being disconnected from the battery, inserting a
dielectric with κ will increase U.
After being disconnected from the battery, inserting a
dielectric with κ...

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Throughout the problem, use ϵ0 = 8.85×10−12
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