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An inductance L and a resistance R are first connected to a battery. After somtime the battery disconnected but L and R remain connected in a closed circuit. Then the current reduces to 37% of its initial value in: A: RL sec B: R/L sec C: L/R sec D: 1/LRsec


An inductance L and a resistance R are first connected to a battery. After somtime the battery disconnected but L and R remain connected in a closed circuit. Then the current reduces to 37% of its initial value in:


A: RL sec                       B: R/L sec                               C: L/R sec                                 D: 1/LRsec


Grade:10

1 Answers

ROSHAN MUJEEB
askIITians Faculty 829 Points
2 years ago
When battery disconnected current through the circuit start decreasing exponentially according toi=i0e−Rt/Li=i0e-Rt/L.
⇒0.37i0=i0e−Rt/L⇒0.37=1e=e−Rt/L⇒t=LR

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