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.

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

Explanation / Answer

#1.False U is proportional to C and C is inversely proportional to d, hence d is inversley proportional to U

#2 False, as CV will be constant increasing d will decrease C hence increase V

#3 True, as dielectric will increase C and hence V will decrease

#4 True as dielectric will increase C

#5 False, inserting dielectric always increases C

#6 True, d is innversly proportional to C

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