Electro Magnetic Induction And Alternating Currents Question 178

Question: What is the value of inductance L for which the current is maximum in a series LCR circuit with $ C=10\mu F $ and $ \omega =1000{{s}^{-1}} $ ?

Options:

A) 1 mH

B) cannot be calculated unless R is known

C) 10 mH

D) 100 mH

Show Answer

Answer:

Correct Answer: D

Solution:

  • Condition for which the current is maximum in a series LCR circuit is, $ \omega =\frac{1}{\sqrt{LC}} $ $ 1000=\frac{1}{\sqrt{L(10\times {{10}^{-6}})}}\Rightarrow L=100,mH $


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