In the circuit of Fig. 8.97, a 3 mF capacitor is accidentally installed instead of the

Chapter 8, Problem 73

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In the circuit of Fig. 8.97, a 3 mF capacitor is accidentally installed instead of the inductor. Unfortunately, that’s not the end of the problems, as it’s later determined that the real capacitor is not really well modeled by an ideal capacitor, and the dielectric has a resistance of \(10\ k \Omega\) (which should be viewed as connected in parallel to the ideal capacitor). (a) Compute the circuit time constant with and without taking the dielectric resistance into account. By how much does the dielectric change your answer? (b) Calculate \(v_x\) at t = 200 ms. Does the dielectric resistance affect your answer significantly? Explain.

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