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a coil of inductance 300 mh and resistance 2 is co
Question:
A coil of inductance 300 mH and resistance 2Ω is connected to a source of voltage 2 V. The current reaches half of its steady state value in
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RL circuit current growth: I = I₀(1-e⁻t/τ)
BITSAT - 2017
BITSAT
Updated On:
Mar 20, 2026
0.1 s
0.05 s
0.3 s
0.15 s
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The Correct Option is
B
Solution and Explanation
Step 1:
Time constant τ = (L)/(R) = (0.3)/(2) = 0.15s
Step 2:
(I)/(I₀) = 1 - e⁻t/τ
Step 3:
For I = (I₀)/(2): t = τ ln 2 ≈ 0.05s
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