Electro Magnetic Induction And Alternating Currents Question 75

Question: For the series LCR circuit , what is the resonance frequency and the amplitude of the current at the resonating frequency [Kerala PET 2005]

Options:

A) $ 2500,rad-{{s}^{-1}} $ and $ 5\sqrt{2},A $

B) $ 2500,rad-{{s}^{-1}} $ and $ 5A $

C) $ 2500,rad-{{s}^{-1}} $ and $ \frac{5}{\sqrt{2}}A $

D) $ 25,rad-{{s}^{-1}} $ and $ 5\sqrt{2},A $

Show Answer

Answer:

Correct Answer: B

Solution:

Resonance frequency $ \omega =\frac{1}{\sqrt{LC}}=\frac{1}{\sqrt{8\times {{10}^{-3}}\times 20\times {{10}^{-6}}}}=2500\ rad/\sec $ Resonance current = $ \frac{V}{R}=\frac{220}{44}=5A $



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