P5.43. Find the complex impedance of the network shown in Figure P5.43 for w = 500. Repeat for w= 1000 and w= 2000.

P5.46. Find the phasors for the voltage and the cur- rents of the circuit shown in Figure P5.46. Construct a phasor diagram showing Is, V. IR, and IL. What is the phase relationship between V and Is? 1 H 200 2 0.5 sin(100r) (1)a Figure P5.46

Determine the initial and final conditions for thecircuit of Figure P5.29.

P5.43. Compute the complex impedance of the net- work shown in Figure P5.43 for w = 500. Repeat for w = 1000 and w = 2000. Give the answers in both polar and rectangular forms. 10 μ 100 mH 100 2 Figure P5.43

Write the differential equation for t > 0 for thecircuit of Figure P5.52.

*P5.21. Suppose that v1(t) = 100 cos(wt) and V2(t) = 100 sin(wt). Use phasors to reduce the sum v, (t) = v1(t) + v2(t) to a single term of the form Vm cos(wt + 0). Draw a phasor diagram, showing V1, V2, and V,. State the phase relationships between each pair of these phasors.

A sinusoidal 100V source (w=100 r/s) has an series resistor and capacitor as shown. This source drives a load, which consist of a parallel combination of a resistor RL and a reactive component (capacitor or inductor) of impedance jXL. Determine the value of RL (load resistor) and XL (load reactive component) that maximizes the power absorbed by the load and the maximum power transferred. + 100 V 100 r/s ww 20 Ω 1.5 mF RL jXL

P5.45. Find the phasors for the current and the voltages for the circuit shown in Figure P5.45. Construct a phasor diagram showing V₁, I, VR, and Vc. What is the phase relationship between V, and I? S v₂(t) = 10 cos(500r) + + 1000 Ω www VR i Figure P5.45 + VC 2 μF ciples T

Solve for the mesh currents shown in Figure P5.54.

Write an expression for the complex impedance of a parallel combination of an inductor, L, and a capacitor, C, as a function of frequency. Find the frequency at which the magnitude of the impedance becomes infinite. What happens to the phase of the impedance at this frequency? What current will the parallel combination draw from an ideal sinusoidal voltage source at this frequency?