Determine the power absorbed by the circuit, Physics

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A 20 Ω non-reactive resistor is connected in series with a coil of inductance 80mH and negligible resistance. The combined circuit is connected to a 200V, 50Hz supply.

Calculate

(a) the reactance of the coil,

(b) the impedance of the circuit,

(d) the power factor of the circuit,

(e) the power absorbed by the circuit,

(f ) the value of a power factor correction capacitor to produce a power factor of unity, and

(g) the value of a power factor correction capacitor to produce a power factor of 0.9

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