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A parallel plate capacitor with plate separation d is connected to a battery The

ID: 1536287 • Letter: A

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 (C is the capacitance and U is the stored energy.) Answer the following questions regarding the tor charged by a battery. For each statement below select True or False. After being disconnected from the battery, decreasing d decreases C. After being disconnected from the battery, inserting a dielectric with K will increase V. False T After being disconnected from the battery, decreasing d increases True After being disconnected from the battery, inserting a dielectric with K will increase U. After being disconnected from the battery, increasing d decreases V. With the capacitor connected to the battery, inserting a dielectric with K will increase C.

Explanation / Answer

After being disconnected from the battery, decreasing d decreases C.
1.. decreasing d increases C always False False.

2.V will decrease. The dielectric sets up a back EMF which partially cancels V.

3.  False. U = Q²/2C and C = A/d. C increases linearly with decrease in d, and U decreases linearly with increase in C, therefore U decreases linearly with decrease in d.

4. After being disconnected from the battery, inserting a dielectric with will increase U.
increasing means C increases. Q is constant, so V = Q/C decreases.

5. That means C increases.
true

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