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An electric current which vary for a small finite time, while growing from zero to maximum or decaying from maximum to zero, is called a transient current.
Growth of current in an inductor at any instant of time t is given by
I = I0(1 – e -Rt / L)
where, I0 = maximum current, L = self inductance of the inductor and R = resistance of the circuit.
Here R / L = τ, is called time constant of a L – R circuit.
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