Electro Magnetic Induction And Alternating Currents Question 51

Question: A series ac circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and $ 25\mu F. $ If the current is maximum in circuit then angular frequency will be [RPMT 1999]

Options:

A) 200

B) 100

C) 50

D) 200/2 $ \pi $

Show Answer

Answer:

Correct Answer: A

Solution:

Current in LC circuit becomes maximum when resonance occurs.

So $ \omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{1\times 25\times {{10}^{-6}}}}=\frac{1000}{5}=200,rad/\sec $



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