Equal but opposite charges are placed on the square plates of an air-filled para
ID: 2058089 • Letter: E
Question
Equal but opposite charges are placed on the square plates of an air-filled parallel-plate capacitor. The plates are then pulled apart to twice their original separation, which is small compared to the dimensions of the plates. Which of the following statements about this capacitor are true? (There may be more than one correct choice.)Choose all that apply.
The potential difference across the plates has doubled.
The energy density in the capacitor has increased.
The capacitance has doubled.
The electric field between the plates has increased.
The energy stored in the capacitor has doubled.
Explanation / Answer
capacitance=epsilon*area/distance between plates so, here capacitance halves here charge remains same V=Q/C so,C becomes half and voltage doubles energy density=1/2 *C*V*V/AV=1/2*C*V/A as C halves it also halves capacitance halves field=V/d V doubles d doubles so,it is constant energy=1/2 C*V*V=total effect is energy doubled so option A and E are correct
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