Electrostatics Question 76

Question: The plates of a parallel plate capacitor of capacity $ 50\mu C $ are charged to a potential of $ 100\ volts $ and then separated from each other so that the distance between them is doubled. How much is the energy spent in doing so [MP PET 1997; JIPMER 2000]

Options:

A) $ 25\times {{10}^{-2}}J $

B) $ -12.5\times {{10}^{-2}}J $

C) $ -25\times {{10}^{-2}}J $

D) $ 12.5\times {{10}^{-2}}J $

Show Answer

Answer:

Correct Answer: A

Solution:

$ W _{ext}=\frac{1}{2}C’V{{’}^{2}}-\frac{1}{2}CV^{2} $

$ =( \frac{1}{2} )( \frac{C}{2} ){{(2V)}^{2}}-\frac{1}{2}CV^{2}=\frac{1}{2}CV^{2} $

$ W _{ext}=\frac{1}{2}\times 50\times {{10}^{-6}}\times {{(100)}^{2}}=25\times {{10}^{-2}}J $



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