In an L-R circuit,for the case of increasing | vedclass

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(B) When a direct current source is connected to an $L-R$ series circuit,the current does not reach its maximum value instantaneously due to the self-

Vedclass · Accepted Answer

$I = I_0 (1 - e^{-Rt/L})$

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(B) When a direct current source is connected to an $L-R$ series circuit,the current does not reach its maximum value instantaneously due to the self-induced electromotive force in the inductor.The growth of current in an $L-R$ circuit is given by the differential equation $L(dI/dt) + IR = E$.Solving this equation with the initial condition $I(0) = 0$,we get the expression for current as a function of time:$I(t) = I_0 (1 - e^{-Rt/L})$where $I_0 = E/R$ is the maximum steady-state current and $	au = L/R$ is the time constant of the circuit.

In an $L-R$ circuit,for the case of increasing current,the magnitude of current can be calculated by using the formula:

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