The current in a discharging LR circuit is given by i = i0e–t/τ where τ is the time constant of the circuit. Calculate the rms current for the period t = 0 to t = τ.

The current in a discharging LR circuit is given by


Then, the rms current for the period t=0 to t= T can be obtained by:





So the rms current is



1