Figure P8.40 t= 0 i(t) 50 nF Зр0 L3vz(t) Figure P8.40 Full Alternative Text
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Question
The initial energy stored in the 50 nF capacitor in the circuit is 90 μJ. The initial energy stored in the inductor is zero. The
roots of the characteristic equation that describes the natural behavior of
the current i are −1000 s−1 and −4,000 s−1
1. Find the numerical values of R and L.
2. Find the numerical values of i(0) and di(0)/dt immediately after the
switch has been closed.
3. Find i(t) for t≥0.
4. How many microseconds after the switch closes does the current
reach its maximum value?
5. What is the maximum value of i in milliamperes?
6. Find vL(t) for t≥0.
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