Transients

The questions below are due on Friday December 06, 2024; 05:00:00 PM.
 
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Consider the network shown below. The analysis of this network begins at t=0, at which time i(0)=I_1. The current source sources the current I_2 for all time t\ge 0, while the voltage source steps from 0 to V at t=T.

Answer the following questions about this circuit, in terms of I_1, I_2, L, R, T and V. As usual, you may use e**x or exp(x) for e^x, and ln(x) for \ln(x).

For 0 \leq t \leq T, i(t) =~

For t > T, i(t) =~