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 $