| Directions : (31-35) |
| LC Circuit |
| An LC circuit also called a resonant circuit, tank circuit or tuned circuit is an electric circuit consisting of an inductor repesented by the letter L and a capacitor, represented by the letter C connected together. An LC circuit is an idealized model since it assumes there is no dissipation of energy due to resistance. |
| An LC circuit contains a 20 mH inductor and a \[50\mu F\] capacitor with an initial charge of 10 mC. The resistance of the circuit is negligible. Let the instant the circuit is closed be t = 0 |
 |
A) 5 J
B) 3 J
C) 10 J
D) 1 J
Correct Answer: D
Solution :
Energy, \[E=\frac{1}{2}\frac{{{Q}^{2}}}{C}=\frac{{{\left( 10\times {{10}^{-3}} \right)}^{2}}}{2\times 50\times {{10}^{-6}}}=1\,J\]
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