An inductance L and a resistance R are first connected to a battery. After some time the battery is disconnected but L and R remain connected in a closed circuit. Then the current reduces to 37% of its initial value in time
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a
RL
b
RL
c
LR
d
1LR
answer is C.
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Detailed Solution
When battery disconnected current through the circuit start decreasing exponentially according to i=i0e-Rt/Ḷ⇒0.37i0=i0e-Rt/L⇒0.37=1e=e-Rt/L⇒t=LR
An inductance L and a resistance R are first connected to a battery. After some time the battery is disconnected but L and R remain connected in a closed circuit. Then the current reduces to 37% of its initial value in time