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Voltage in complex forms

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An engine consumes 10kw of power and 4kvar reactive power at a current of (6+j4)Amps . Find the applied voltage in complex form using P=Re(VI) and Q=Im(VI) as simultaneous equations.
Obviously V=(a+jb)

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The voltage in complex forms are discussed. Simultaneous equations are applied.

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Solution : V=(a+jb)

I = 6+j4
VI = (a+jb) ...

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