Question

A 60 Hz load is operating such that it has the voltage and current signals shown...

A 60 Hz load is operating such that it has the voltage and current signals shown below: v(t) = 10 cos (ωt) + 2 cos (3ωt) + 0.5 cos (7ωt) V and i(t) = 1.3 cos (ωt − 20◦ ) + 0.14 cos (3ωt − 20◦ ) + 0.07 cos (7ωt − 20◦ ) A

(a) Find the power factor for this load

(b) Plot the phasor diagram for the fundamental components of the voltage and current

(c) Find the distortion power factor for this load

(d) Would you say the voltage waveform current waveform is better in terms of power quality. Give reasons to backup you answer. It is best if you can show this mathematically

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