Find the average power loss and power factor for each of the circuits whose input current...

Find the average power loss and power factor for each of the circuits whose input current and voltage are as follows:

a.

υ = 60 sin (ωt + 30°)

i = 15 sin (ωt + 60°)

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b.

υ = −50 sin (ωt −20°)

i =−2 sin(ωt − 20°)

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c.

υ = 50 sin (ωt + 80°)

i = 3 cos (ωt − 20°)

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d.

υ = 75 sin (ωt − 5°)

i = 0.08 sin (ωt + 35°)