I need help with this problem.

A balanced 3 phase, 60 Hz load consists of machinery of 500 kva at 0.5 PF lagging, and a 3 phase resistive load 300 Kw. The two loads are supplied by a 4160 volts feeder.

a. What is the magnitude of the feeder current?

b. Specify the number and ratings of capacitors required if it is desired to improve the feeder power factor to 0.8. Assume caps will be connected in Y.

Here is what I tried to do:

First to determine the current of each load. For the resistive load kW = kVA. The formula is I = kVA ÷ E ÷ sqrt(3). The resistive load has a power factor of 1.0, so it neither leads nor lags, so assign it an angle of 0° (Line 1 or A). For the machinery load, current angle is directly related to power factor: theta = arccos(PF).

Where do I go from here?

Thank you.

A balanced 3 phase, 60 Hz load consists of machinery of 500 kva at 0.5 PF lagging, and a 3 phase resistive load 300 Kw. The two loads are supplied by a 4160 volts feeder.

a. What is the magnitude of the feeder current?

b. Specify the number and ratings of capacitors required if it is desired to improve the feeder power factor to 0.8. Assume caps will be connected in Y.

Here is what I tried to do:

First to determine the current of each load. For the resistive load kW = kVA. The formula is I = kVA ÷ E ÷ sqrt(3). The resistive load has a power factor of 1.0, so it neither leads nor lags, so assign it an angle of 0° (Line 1 or A). For the machinery load, current angle is directly related to power factor: theta = arccos(PF).

Where do I go from here?

Thank you.

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