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Unformatted text preview: Sample Problem Topic: RLC Circuits/Response Statement of Problem: Given the circuit shown in the figure below The energy stored in the 50nF capacitor is 90J. The initial energy of the inductor is 0. The roots of the characteristic equation that describes the natural behavior of the current I are -1000s-1 and -4000s-1 . a) Find the numerical values of R and L b) Find the numerical values of i(0) and di(0)/dt immediately after the switch has been closed. c) Find i(t) for t >= 0. d) How many microseconds after the switch closes does the current reach its maximum value? e) What is the maximum value of I in milliamperes? f) Find vL(t) for t >=0 Solution Without circuit component va lues, we cant directly calculate the values and . However, we do know the range of the roots of the characteristic equation. We then know a few things about the values mentioned previously. a) = 2500 rad/s, with a deviation of 1500....
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- Spring '05
- Electrical Engineering