Impedance

In the circuit shown in Figure P6.9 (in the attached file), if L = 190 mH R1 = 2.3 kΩ R2 = 1.1 kΩ C = 55 nF a) Determine how the input impedance behaves at extremely high or low frequencies. b) Find an expression for the input impedance in the form (see attached file) c) Determine the four frequencies at which f1(w) = +1 or -1 and f2(w) = +1 or -1. d) Plot the impedance (magnitude and phase) versus frequency.

Filters

Are the filters shown in Figure P6.50 low-pass, high-pass, bandpass, or bandstop (notch) filters? Please see both attached files for filters.

Power Factor

Determine C so that the plant power factor of Figure P7.25 (see attached file) is corrected to 1 (or the power factor angle to zero) so that Is is minimized and in phase with Vo. vs(t) = 450cos(wt) V w = 377 rad/s Z = 7 < 0.175 Ω

Power

If the voltage and current supplied to a circuit or load by a source are: Vs = 170<(-0.157) V Is = 13<0.28 A determine a) The power supplied by the source which is dissipated as heat or work in the circuit (load). b) The power stored in reactive components in the circuit (load). c) The power factor angle and power factor. Problem is also in the attached file.

Steady State Circuit

For t > 0, determine for what value of t, i = 6 A in the circuit of Figure P5.71 (attached file) if the circuit is in steady state at t = 0-.