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Physics - EMI/AC Question with Solution | TestHub

PhysicsEMI/ACL-R circuitEasy2 minPYQ_2020

PhysicsEasysingle choice

In the circuit shown in diagram, switch $S$ is closed at time $t = 0$ . The charge which passes through the battery in one time constant is

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Answer:

Solution:

The current at time t is given by

$i = i_{0} (1 - e^{- t / τ})$

Here, $i_{0} = \frac{E}{R}$ and $τ = \frac{L}{R}$

$∴ q = \int_{0}^{τ} i d t = \int_{0}^{τ} i_{0} (1 - e^{- t / τ}) d t$

$= \frac{i_{0} τ}{e} = \frac{(\frac{E}{R}) (\frac{L}{R})}{e}$

$= \frac{EL}{{eR}^{2}}$

Subject:PhysicsTopic:EMI/ACSubtopic:L-R circuit

⏱ 2mℹ️ Source: PYQ_2020

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