Electrostatics Question 100

Question: A variable condenser is permanently connected to a 100 $ V $ battery. If the capacity is changed from $ 2\mu F $ to $ 10\mu F $ , then change in energy is equal to [BHU 2000]

Options:

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

B) $ 2.5\times {{10}^{-2}}J $

C) $ 3.5\times {{10}^{-2}}J $

D) $ 4\times {{10}^{-2}}J $

Show Answer

Answer:

Correct Answer: D

Solution:

$ \Delta U=U _{2}-U _{1}=\frac{V^{2}}{2}(C _{2}-C _{1}) $

$ =\frac{{{(100)}^{2}}}{2}(10-2)\times {{10}^{-6}}=4\times {{10}^{-2}}J $



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