Cuthbert Nyack
Setting the applied voltage equal to the voltages across the inductor plus that across the resistor gives the following equation.
Which can be rearranged to give:-
Solving the above first order differential equation using a similar approach as for the RC circuit yeilds.
The voltages across the resistor and inductor can now be written as:-

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COPYRIGHT © 1996 Cuthbert A. Nyack.