Use current division to find the steady-state expression for i, in the circuit in Fig. P9.66 if 400 cos 20,000 mA. 27 ig

Find node voltages v1(t) and v2(t) in the sinusoidal steady state using nodal analysis. v1 + | R1 1 ohm V1 cos(t)V L2 1H v2 C1 1F

a. Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially unchargedand the switch is thrown into position 1 at t = 0 s.b. Find the mathematical expressions for the voltage vC and the current iCif the switch is moved to position 2 at t = 3 ms.c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms.d. Plot the waveforms obtained in parts (a)–(c) Demonstrate all necessary steps, formulas and calculations properly.

The frequency of the sinusoidal voltage source in the circuit below is adjusted until the current i, is in phase with vg. (Hint: Remember that all impedances shift the phase of the current relative to the voltage except when the impedance is purely resistive!) a) Find the frequency in Hertz. b) Find the steady-state expression for ig (at the frequency found in part a) if vg = 90 cos wt V. 500 Ω Vg ig 200 Ω 200 mH 1 μF

raçlar Yardım od v Geciktir 2) a) For the circuit shown in Fig. P9.24, find the frequency (in radians per second) at which the impedance Zab is purely resistive. b) Find the value of Zab at the frequency of (a). 20 μF 200 N 400 mH be

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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.