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# Solution: What is the equation of the line current?

#### Problem Statement: Electrical Engineering Professional Subjects

Electric Circuits: AC Circuits Problem Solving

A coil of 50-ohm resistance and of 150-mHย inductance is connected in parallel with aย 50-ฮผFย capacitor.ย Ifย the sourceย voltage is 100ย sin (ฯt + 30ยฐ), what is the equation of the line current?

A.ย  1.91 sin (ฯt + 52.5ยฐ)

B.ย  1.25 sin (ฯt + 75.5ยฐ)

C.ย  1.82 sin (ฯt – 62ยฐ)

D.ย  1.32 sin (ฯt โ 75.5ยฐ)

#### Problem Answer:

The equation of the line current is equal to 1.25 sin (ฯt + 75.48ยฐ).

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