Question

In an RL series circuit with L = 1/100 H, R = 20 Ω, and E = 60 V. Determine the limit of the maximum current reached (At the function you found to determine the current as a function of time apply the limit when t goes to infinity) and determine the time in which it reaches half of that value. Take i (0) = 0 A.

Answer 1

PART(a):

In the RL circuit, we can write the voltage eqn as,

multiply by 100,

The integrating factor is given by,

The solution of the DE is given by,

where C is an integration const,

put t = 0,

Now the final solution beocmes,

The maximum current is given by,

plugin the limit,

PART(b):

We have,

I hope this answer helps,
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