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What is the energy stored in the capacit...

What is the energy stored in the capacitor between terminals a and b of the network shonw in the figure ? (Capacitance of each capacitance `C=1 muF`)

A

`12.5muJ`

B

Zero

C

`25muJ`

D

`50muJ`

Text Solution

Verified by Experts

The correct Answer is:
A
Network is redrawn as shown in figure.

This is a balanced Wheatstone's network.
Equivalent capacitance `C_(eq)=C`
Charge on capacitor between the terminals a and b
`(Q)/(2)=(CV)/(2)`
Energy stored in the capacitor
`=(1((Q)/(2))^(2))/(2C)=(Q^(2))/(8C)=(C^(2)V^(2))/(8C)=(CV^(2))/(8)`
Given : `C=1 muF, V=10V`
`=((1xx10^(-6))xx10^(2))/(8)`
`=(100)/(8)xx10^(-6)=12.5muJ`
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