The resistance and inductance of the circuit in Fig. 8.50 are 100 2 and 20 mH, respectively. a. Find the value of C that makes the voltage response critically damped. b. If C is adjusted to give a neper frequency of 5 krad/s, find the value of C and the roots of the characteristic equation. c. If C is adjusted to give a resonant frequency of 20 krad/s, find the value of C and the roots of the characteristic equation.

Design a series RLC circuit so that the equivalent impedance ZEQ(s) has the pole-zero diagram shown on the right. The inductor must be 1 H. -5k joo s plane j8.66k -j8.66k

2 Compute the frequency response of the circuit shown in Figure P8.62. 220 μΕ :2 k2 220 µF O-wwHE Vin 2 k2 Vout 2 k2

A. RLC circuit basic measurement For circuits (a) through (d) in Figure 8 - 2, use C = 0.1 uF, L = 100 mH, R = 1 kQ. 1. Derive the transfer function. 2. Find the resonance frequency, cutoff frequencies, bandwidth and Q factor for each circuit. 3. What is the phase relation between the total voltage and current, is it leading or lagging when the frequency is (i) below resonance, and (ii) above resonance? What is the nature of the circuit in those two regions, ie, is it capacitive or inductive?