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md5fungi

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## Homework Statement

"Determine x for which the power factor at the source is in unity."

The data given is in the diagram; The impedance of the capacitors is the only thing we don't know. The load and sources are balanced.

## Homework Equations

Just the basics: Kirchoff's Current Law, possibly some Loop/Mesh equations?, basic Polyphase system properties.

## The Attempt at a Solution

Basically I was taught that if I needed to find the impedance of the capacitor in this particular setup, I could represent the circuit as a 240angle0 source in series with the load and equivalent capacitor (-jx/3) in parallel with each other. The impedances resistor and additional load in this example can be combined to make it easier. But the only way I can solve for x as far as I understand is form an equation involving the current through the combined load and current through the capacitor, so that they add up to the current through the source. However, since we aren't given the current through the source, I am

*very*confused.

Any ideas? (This isn't homework really, just a practice problem from an old test that is supposedly going to help me with an exam I have this Friday)

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