2. Consider the below circuit operating at steady state. The source voltage v,(t) = 8 cos (500t) V Determine v(t), vR(t) and i₁(t). + vc(t) v(t) 200 μF 10 Ω VR(t) 20 Ω is(t) 20 mH m

Find the steady-state is (a) w = 400rad/s, 100 cos (wt) mA 375 mH 12 cos (400 t) V 100 S2 ww vo(t) + voltage of circuit when the frequency of the current source (b) w = 200rad/s

The input to the circuit shown in the following figure is the voltage of the voltage source vs (t) = 5 cos(2t + 45°) V. The output is the inductor voltage v(t). Determine steady-state output voltage. U₂ (1) 0.1 F HH 492 www + 3 H v(1)

2.-For the circuit below, use nodal analysis to calculate the steady-state expression for v(t) if v(t) = 2cos(10′t) V.ε 100 ΚΩ Ug 5 ΚΩ m Va 20 ΚΩ 100 pF 10 pF HE 5V –5V 8° 40 ΚΩ

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1 H 4. In the circuit below, is₁(t) = 2 cos(t + 60°) A and is¿(t) = 3 A. 1 F HH 1Ω w 5 is 1 H ww 1Ω 252 W (a) Determine ix in the steady-state. 252 ww 1Ω i52 w

The circuit shown in the figure to the right has two input sources: vi(t) = 50 cos (20t – 75°) V v2(t) = 35 cos (20t + 110°) V When the circuit is at steady state, the node voltage is v(t) = 21.25 cos (20t - 168.8°) V Determine the values of R and L. 5 mF 2 H v₁(t) R www 50 Ω v(t) I L 6 H 40 Ω v₂(1)

1kQ 827.6mH 79.58µF vs(t) = 3 cos (125.66t) Load 492.52 Circuit H 796mH 8.842µF a) Convert the circuit from the time domain to the phasor domain. List the values for each of the components, including the voltage source. b) Calculate the Thevenin Voltage and Thevenin Impedance for the circuit. Express your results in both polar and rectangular form. c) Calculate the current through the load circuit if the load is 150 Ohms. Express this value in polar form (magnitude and phase). d) Given the angular frequency of the voltage source, determine how you would build the Thevenin Equivalent Circuit using a single AC source, single resistor and a single capacitor or inductor. Sketch the Thevenin equivalent circuit.

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