The formula used for a DC RL circuit is
I=I0e−t/τI= I_{0}e^{-t/\tau}I=I0e−t/τ and can be written as,
I0=e−t/τII_{0} = \frac{e^{-t/\tau}}{I}I0=Ie−t/τ
where I0I_{0}I0 is the initial current,
τ=LR\tau= \frac{L}{R}τ=RL is the characteristic time constant.
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