Question

Problem 6 0.250 ms 5 0.5 0.5 time (ms) What are the following for the voltage waveform shown above? e)f g)-o x timeshift, but be careful about the sign of o)- h) V- i) V() (use either polar or rectangular form for this phasor) (use the cosine representation) j) If the voltage is applied across a 5 Ω resistor, how much average power will be consumed?

Answer 1

a) V_m = V_peak = 1.5 V b) V_pp = 2 V_m = 3 V c) V_rms = V_m/squareroot 2 = 1.5/Ohm V_rms = 1.06 06 V d) T = 2m sec e) f = 1/T = 500 Ht f) w = 2 pi f = 2 pi times 500 w = 100 pi rad/sec w = 3141.5926 rad/sec g) Time shift = 0.5 ms + 0.25 ms = 0.75 m sec phi = 2.3561 rad phi = 135 degrees h) V = 1.5 angle 135 degrees V i) V(t) = 1.5 sin (1000 pi + 135 degrees) V V (t) = 1.5 cos (1000 pi + 45 degrees) V j) P_a = V_rma^2/R = (1.06 06)^2/5 P_= 225 mw

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