Consider two oppositely charged, isolated parallel plates separated by distance

Question

Consider two oppositely charged, isolated parallel plates separated by distance D, with capacitance C, charge Q, and stored energy U. D is small compared to the dimensions of the plates. For each statement below, select "True" or "False". When D is doubled, U decreases. Because of energy conservation, inserting a dielectric leaves U unchanged. Because of charge conservation, inserting a dielectric leaves C unchanged. Increasing D, increases the E field. When D is doubled, C is halved. Inserting a dielectric increases Q. When D is halved, Q stays the same.

Explanation / Answer

1)

Capacitance is inversely proportional to distance, thus, the increase in distance decreases capacitance and hence the energy. FALSE

2) Inserting a dielectric increases the capacitance by k times anddecreases the voltage by k times and U=0.5CV^2 .Thus, the energy decreases FALSE

3) FALSE

4) E=V/d    TRUE

5)C=e_0A/d TRUE

6) TRUE

7)TRUE

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