A simple LR circuit is connected to a battery at t = 0. The time instant at which rate of energy storage in inductor is half of power delivered by battery
A simple LR circuit is connected to a battery at t = 0. The time instant at which rate of energy storage in inductor is half of power delivered by battery
Option 1 -
(L/R) ln 2
Option 2 -
(L/R) ln(3/2)
Option 3 -
(L/R) ln 2
Option 4 -
(L/R) ln 3
Asked by Shiksha User
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1 Answer
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Correct Option - 3
Detailed Solution:i = (V? /R) (1 - e? /? )
U = ½Li²
dU/dt = Li (di/dt)
(R/2L) × (V? ²/R²) (1 - e? /? )²e? /? = (V? ²/R) (1 - e? /? )
t = (L/R)ln2
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