By Steven Karris

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Additional info for Circuit Analysis II with MATLAB Computing and Simulink SimPowerSystems Modeling

Example text

For t  0 the circuit is as shown below. 2 = --------------= ---------------- = 24 (4) 1  120 C Equating (3) and (4) we obtain Circuit Analysis II with MATLAB Computing and Simulink / SimPowerSystems Modeling 147 Copyright © Orchard Publications Chapter 1 Second Order Circuits – 2k 1 – 3k 2 = 24 (5) and simultaneous solution of (2) and (5) yields k 1 = – 36 and k 2 = 16 By substitution into (1) we find the total solution v C  t  = v Cf + v Cn = 100 – 36 e 4. 100  vS – 2t + 16e – 3t 20 H t = 0 + + S  1  120 F 400   vC  t  v S =  100 cos t u 0  t  V This is the same circuit as in Exercise 3 where the DC voltage source has been replaced by an AC source that is being applied at t = 0 + .

S t = 0 4 2 A +  12 V B 14 F 2H 7. Create a Simulink/SimPowerSystems model for the circuit below. 4, Page 121 where we found that R = 40  . 7 Solutions to EndofChapter Exercises Dear Reader: The remaining pages on this chapter contain solutions to the EndofChapter exercises. You must, for your benefit, make an honest effort to solve the problems without first looking at the solutions that follow. It is recommended that first you go through and answer those you feel that you know. For the exercises that you are uncertain, review the pertinent section(s) in this chapter and try again.

If the differential equation describing a series RLC circuit that is excited by a constant (DC) voltage source is written in terms of the current, the forced response is zero and thus the total response is just the natural response.  If the differential equation describing a parallel RLC circuit that is excited by a constant (DC) current source is written in terms of the voltage, the forced response is zero and thus the total response is just the natural response.  If a circuit is excited by a sinusoidal (AC) source, the forced response is never zero.