In class, we wrote the Kirchhoff's loop law equation governing the current in an LR circuit as dI IR = Eg - L- dt dI L=+ RI = EB , dt and we asserted that the solution was 1) = (1--#) . tR Verify by substitution that this indeed to solution to the differential equation.

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6-4)
In class, we wrote the Kirchhoff's loop law equation governing the current in an LR circuit as
dl
IR = ER - L-
dt
L=+ RI = Eg ,
dt
and we asserted that the solution was
1) = # (1 - c#) .
Verify by substitution that this indeed to solution to the differential equation.
Transcribed Image Text:6-4) In class, we wrote the Kirchhoff's loop law equation governing the current in an LR circuit as dl IR = ER - L- dt L=+ RI = Eg , dt and we asserted that the solution was 1) = # (1 - c#) . Verify by substitution that this indeed to solution to the differential equation.
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Step 1

The differential of the current in the solution can be calculated first. This is to be substituted in the equation.

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