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

Question

A parallel plate capacitor withplate separation d is connected to a battery. The capacitor isfully charged to Q Coulombs and a voltage of V. (C is thecapacitance and U is the stored energy.) Answer the followingquestions regarding the capacitor charged by a battery. For eachstatement below, select True or False.

After being disconnected from the battery, decreasing d increasesU.
After being disconnected from the battery, inserting adielectric with will decrease V.
After being disconnected from the battery, inserting a dielectricwith will decrease U.
After being disconnected from the battery, decreasing d decreasesC.
With the capacitor connected to the battery, inserting a dielectricwith will decrease C.
After being disconnected from the battery, increasing dincreases V.

Explanation / Answer

C = 0A/d     (1) U = Q2/(2C) = Q2d/(20A)    (2) V = Q/C = Qd/(0A)       (3) After being disconnected from thebattery, Q doesn't change. After being disconnectedfrom the battery, decreasing d increases U. False by (2) After being disconnected from the battery, inserting a dielectricwith will decrease V. True by (3) After being disconnected from the battery, inserting a dielectricwith will decrease U. True by (3) After being disconnectedfrom the battery, decreasing d decreases C. False by (1) With the capacitor connected to thebattery, V doesn't change With the capacitorconnected to the battery, inserting a dielectric with willdecrease C. False by (1) After being disconnected from the battery, increasing d increasesV. True by (3)

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