1339 The voltage across a 50- resistor is vt = 60 + 24 sin200t8 sin600t + 4:8...

13–39 The voltage across a 50-Ω resistor is vðtÞ = 60 + 24 sinð200πtÞ−8 sinð600πtÞ + 4:8 sinð1000πtÞ V

(a) Find expressions for the current through the resistor and the power dissipated by the resistor.

(b) Find the average of the power expression by integrating over one period of the waveform and dividing by the period.
MATLAB would be useful here.

(c) Find the rms value of the voltage by applying Eq (13–19)
to the expression for v(t). MATLAB would be useful here.

(d) Find the rms value of the voltage by applying Eq (13–24)
to the Fourier coefficient of v(t) and compare the result to the answer in Part (c).

(e) Computetheaveragepower dissipatedbytheresistorusing P =V2 rms=R and compare the result to the answer in Part (b).