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.

With the capacitor connected to the battery, inserting a dielectric with will increase C.

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

With the capacitor connected to the battery, increasing d decreases Q.

With the capacitor connected to the battery, increasing d increases C.

After being disconnected from the battery, decreasing d increases U.

With the capacitor connected to the battery, inserting a dielectric with will increase U.

Explanation / Answer

C = KeoA /D = K Co

so

1. C = Kco as K is inserted , C increases - True

2. V = Vo/k, as K is inserted, V will decrases so False it is

3. since Q = CV = eoAV/d , as d increases, Q decreases , True

4. as C= eoA/d, as d increases, C decreases False it is

5. U = Edq as d decreases, U also decreases, False it is

6. U = 0.5 CV^2 , so k increases, U also increases True

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