Consider the circuit diagram below, where: v₁(t) = 120 cos(377t) V Π v2(t) = 240 cos (377t + 2) V The amplitude of both sources is given in peak, and any phase shifts are given in radians. Determine the current through the component ZR1 by applying the principle of superposition. Take vi(t) as reference. Express the result as a sinusoid in the time domain with phase angles measured in degrees and using peak amplitude. Take the voltage source as the reference waveform. Do not use MATLAB to solve. HH V2(t) ZC1 -265.23j Ω Vi(t) ~ www ZR1 1000 Ω ZL1 3.768j Ω ZR2 1000 Ω

Problem # 5 Consider the sinusoidal voltage and current shown below: v(t) = 170 cos(120zt - 60°) V and i(t) = 60 sin(120xt - 30°) A. Plot v(t) and i(t) and determine if the current is leading or lagging the voltage. Find the Phasor representations of both voltage and current. Determine the rms values of both voltage and current. Determine the apparent power, S, P, Q, pf, and r.f. a) b) c) d)

R + 12 cos 3t V Vo 4 sin 2t A 10 V If we would like to use Superposition to solve for v, in the circuit shown above, we must find the individual contribution of .each independent source :SINUSOIDAL CURRENT SOURCE CONTRIBUTION What is the amplitude of the voltage v, considering only the contribution of the sinusoidal current source? Assume that R = .15 Ohms, L = 11.6 Henry, and C = 0.02 Farad .Write your answer in Volts

Find the period of repetition of the following sinusoidal waveforms and express them in phasor repre- sentation: vi(t) = 12 cos(314t + 10°) V v2(t) = 4 sin(2765t – 75°) V i1(t) = -0.2 sin(600rt – 100°) A i2(t) = -2.5 cos(377nt + 120°) A