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

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 capacitor charged by a battery. For each statement below, select True or False.

TrueFalse With the capacitor connected to the battery, inserting a dielectric with ? will decrease C.
TrueFalse With the capacitor connected to the battery, decreasing d increases U.
TrueFalse After being disconnected from the battery, inserting a dielectric with ? will increase U.
TrueFalse After being disconnected from the battery, decreasing d decreases C.
TrueFalse After being disconnected from the battery, increasing d increases V.
TrueFalse After being disconnected from the battery, inserting a dielectric with ? will decrease V

Explanation / Answer

C= (A *epsilon 0* K )/ d

1) false , it will increse

2)True U=1/2* C* V^2 , so U directly proportional to C, and C inversely proportional to d, so U inversely proportional to d

so true

3)true U directly prop to K

4) false, decreasing d, C increases

5)true,V directly proportional to d

6)true ,v is inversely prop to k

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