The voltage across a 50-V resistor is vt 60 24 sin200pt 8 sin600pt

The voltage across a 50-V resistor is vðtÞ ¼ 60 þ 24 sinð200ptÞ  8 sinð600ptÞ þ 4:8 sinð1000ptÞV

(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.

(c) Find the rms value of the voltage by applying Eq (13–19)

to the expression for v(t).

(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) Compute the average power dissipated by the resistor using P ¼ V2 rms=R and compare the result to the answer in Part (b).