I dont need the answer just an idea of how to solve this The

I don\'t need the answer, just an idea of how to solve this-

The electric current i ( in A ) thru an inductor of .9 H as a function of time t (in s) is i = e^-6.0t sin 40 pi t. Find the voltage across the inductor for t = 3 ms ( Voltage caused by the changing current is given by VL = L(di/dt), where L is the inductance in H.

V(0.003)= ___ Volts ?

can you include a brief explanation please?

Solution

differentiate the i with respect to t to get di/dt than put t=.003 in di/dt multiply it with value of L so ypu will get V
I don\'t need the answer, just an idea of how to solve this- The electric current i ( in A ) thru an inductor of .9 H as a function of time t (in s) is i = e^-6

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