Question

When the values of inductance and capacitance in an $L-C$ circuit are $0.5H$ and $8\mu$F respectively then current in the circuit is maximum. The angular frequency of alternating e.m.f. applied in the circuit will be

• A. $5\times {10}^{3}Radian/sec$
• B. $50Radian/sec$
• C. $5\times {10}^{2}Radian/sec$
• D. $5Radian/sec$

Answer 1

Answer: (C)

$5\times {10}^{2}Radian/sec$

We know that, maximum current flows when the circuit is at resonance
Therefore, Resonance frequency is given by

$\omega =\frac{1}{\sqrt{LC}}$

$\omega =\frac{1}{\sqrt{0.5\times 8\times {10}^{-6}}}$

this gives

$\omega =5\times {10}^2$ Radian/sec