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

a. For the circuit shown below: 20 2 1 mH ll R Vs (*) 100cos(2001) V 25 mF the following LTspice netlist can be used to determine the magnitude and phase angle of the steady-state ĀC part of v: Vs 3 2 AC 100 0 R 3 0 20 L0 1 1m C 1 2 25m .AC DEC 1 31.83098861 31.83098861 Run the simulation and identify the desired results in the output file. b. Use the phasor analysis method to determine the analytical solution, and verify that the LTspice result is correct.

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

The AC circuit below is in steady state. (a) What is the maximum value of the waveform ia(t)? (b) Find the complex power S supplied by the voltage source v₁. (c) Find the average power P received by that same voltage source v₁. v₁ (t) = A₁ cos(10t + B₁) is R C is A₁ R > Ja (d) In the circuit below, the waveform is (t) is periodic with period T. The resistor R is the same as in the circuit above. Find the value of K such that the average power received by the resistor in the circuit below is the same as by the resistor in the circuit above. T K k. ia L2 R: C: L: k: A1: B1: T: 202 100 mF 100 mH 3 A/A 10 V -15 degrees 4 s

I VY O non-sinusoidal... -> For the circuit shown below calculate the output voltage Vo(t). v(t)=cos(t)+2cos (2t)

A voltage is given by v( t )=10 sin(1000πt+30°). First, use a cosine function to express v(t). Then, find the angular frequency, the frequency in hertz, the phase angle, the period, and the rms value. Find the power that this voltage delivers to a 50-Ω resistance. Find the first value of time after t=0 that v(t) reaches its peak value. Sketch v(t) to scale versus time. * Denotes that answers are contained in the Student Solutions files. See See Appendix E for more information about accessing the Student Solutions.

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2) A current source in a linear circuit has i(t) = 15 cos(25nt + 25º) A. a) What is the amplitude of the current? b) What is the angular frequency? c) Find the frequency of the current d) Calculate i, at t= 2 ms