Questions
A parallel plate capacitor has plate area A and separation d. It is charged to a potential difference Vo. The charging battery is disconnected and the plates are pulled apart to three times the initial separation. The work required to separate the plate is
detailed solution
Correct option is B
Here C=ε0Ad and Q=CV=ε0AV0d∴Energy stored, E1=Q22C=ε02A2V022d2CWhen battery is disconnected, Q remains the same. As d increases to 3 times, C decreases to 3 times.∴ E2=3Q22C=3ε02A2V022d2CNow, Work done = E2 - E1∴ W=3ε02A2V022d2C−ε02A2V022d2C=ε02A2V02d2C =ε02A2V02d2×ε0A/d=ε0AV02dSimilar Questions
Three point charges of equal value q are placed at the vertices of al equilateral triangle. The resulting lines of force should be sketch as in
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