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Explain charging and discharging of inductor

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When an inductor is connected to a DC source of emf V through a resistance R the inductor charges to maximum current (i_0=\frac{V}{R}) at steady state. If the inductor current is increased from zero at time=0 to i at time=t then-current i is given by

\\i=i_0(1-e^{\frac{-t}{\tau}})\ where\ \tau=\frac{L}{R}

\tau is the time constant of the circuit. Here the current is exponentially increasing.

  • While discharging of inductor current decreases exponentially and is given by

                 i=i_0(e^{\frac{-t}{\tau}})

 

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Safeer PP

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