4. The current i(t) in an RL circuit is governed by the differential equation di R. + dt L =E(t) -2 = where R and L are constants. a) Use the Laplace transform to detemine i(t) if E(t) = Eo, a constant. There is no current flowing initially. b) Repeat part a) in the case when E(t) = Eosin(wt), where w is a constant.

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Question 4

4. The current i(t) in an RL circuit is governed by the differential equation
di R
1
dt I'
=
E(t)
where R and L are constants.
a) Use the Laplace transform to detemine i(t) if E(t) = Eo, a constant. There is no
current flowing initially.
b) Repeat part a) in the case when E(t) = Eosin(wt), where w is a constant.
Transcribed Image Text:4. The current i(t) in an RL circuit is governed by the differential equation di R 1 dt I' = E(t) where R and L are constants. a) Use the Laplace transform to detemine i(t) if E(t) = Eo, a constant. There is no current flowing initially. b) Repeat part a) in the case when E(t) = Eosin(wt), where w is a constant.
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