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A coil having a resistance of 10? and an inductance of 40 mH is connected to a 200V, 50 Hz supply. Calculate the impedance of the coil, current, power factor and power consumed.
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Given Data:

Supply voltage, $V=200\ Volts$

Supply frequency, $f=50Hz$

Resistance, $R=10\ \Omega$

Inductance, $L=50mH = 40\times 10^{-3}\ Henry$

Let's consider a coil connected to AC supply as shown in figure below-

(i) Impedance of  Coil:-

As the Impedance of a coils for AC supply is given by,$Z=R+j(X_L)=R+j\omega L=R+j2\pi f L$ …

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