The plot below shows the time dependent voltage trace for an unknown voltage sou

Question

The plot below shows the time dependent voltage trace for an unknown voltage source. Using a ruler and pencil, and calculations as required, determine the following quantities for this voltage waveform: 1) the maximum voltage amplitude, V_0; 2) the rms voltage, V_rms; 3) the waveform period; and 4) the frequency of the voltage source. Choose from one of the correct answers below. a) V_0 = 170 V, V_rms = 85 V; Tau = 8.35 msec; f = 120 Hz. b) V_0 = 165 V, V_rms = 113 V; Tau = 8.35 msec; f = 1 20 Hz. c) V_0 = 170 V, V_rms = 120 V; Tau = 16.7 msec; f = 60 Hz. d) V_0 = -165 V, V_rms = 82.5 V; tau = 20 msec; f = 50 Hz.

Explanation / Answer

Option C is the correct answer.

a) Vo = 170 volts (from the figure)

b) we know,

Vrms = Vo/sqrt(2)

= 170/sqrt(2)

= 120 V

c) T = 16.7 ms (from the figure)

d) we know,

f = 1/T

= 1/(16.7*10^-3)

= 60 Hz

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