Question

As given the figure, a series circuit connected across a $200V,60Hz$ line consists of a capacitor of capacitive reactance $30\Omega$, a non-inductive resistor of$44\Omega$, and a coli of inductive resistance $90\Omega$ and resistance $36\Omega$. The power dissipated in the coil is?

Answer 1

$I=\frac{V}{Z}=\frac{200<0}{(36+j90)+44+(-J30)}$

$Z\to$ impedance of ckt $=\frac{200<0}{80+j60}$

$=\frac{200<0}{100\angle {37}^{\circ }}$

$=2\angle -{37}^{\circ }$

$\therefore$ power dissipation in coil $=I^2\times 36$

$=2^2\times 36W$

$=144W$