Electro Magnetic Induction And Alternating Currents Question 608

Question: A coil of inductance 300 mH and resistance $ 2\Omega $ is connected to a source of voltage $ 2V $ . The current reaches half of its steady state value in [AIEEE 2005]

Options:

A) 0.15 s

B) 0.3 s

C) 0.05 s

D) 0.1 s

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Answer:

Correct Answer: D

Solution:

$ i=i_{0}( 1-{{e}^{\frac{-Rt}{L}}} ) $

Þ For $ i=\frac{i_{0}}{2} $ , $ t=0.693\frac{L}{R} $

Þ $ t=0.693\times \frac{300\times {{10}^{-3}}}{2}=0.1,sec $



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