Find i as a function of t

6.B] When a switch is closed in a circuit containing a battery E, a resistance R and an inductance L, the current i build up at a rate given by L di dt Ri = E. Find i as a function of t. How long will it be, before the current has reached one-half its final value, if E = 6 volts, R = 100 ohms and L = 0.1 henry?

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