SOLUTION: An inductor in an electric circuit VL=10-.5t for a 2 H inductor. Find the current in the circuit after 20 seconds if the initial current was zero.

Question 1099377: An inductor in an electric circuit VL=10-.5t for a 2 H inductor. Find the current in the circuit after 20 seconds if the initial current was zero.

Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!

Which, after integration gives:

We have
amps
sec
volts, assumed
Henries
So

evaluated at t=20 and t=0
for
amps
�
Below is a graph of i (y-axis) vs t (x-axis) (ignore the part to the left and below the origin, i[0] = 0).
It happens that i(t) is maximal at t=20sec, after that the current decays back down toward zero, and would go below zero after t=40sec IF the voltage source continued to obey 10-5t.

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