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A circuit consists of a pure resistance and a coil in series. The power dissipated in...

A circuit consists of a pure resistance and a coil in series. The power dissipated in the pure resistance is 500W and the voltage drop across it is 100V. The power dissipated in the coil is 100W and the drop across it is 50V. Find the resistance and reactance of the coil and the supply voltage. Please explain every step.

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Answer #1

It is a simple series circuit of pure resistance and coil.

Coil can be modelled as a combination of R1 and X1.

Also voltage across resistor and voltage across inductor differ by a phase angle of 90 degree.

Using ohm's law and simple equations of power calculations,required values are easily obtained.

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