Question

In an alternating circuit applied voltage is $220V$. If $R=8\Omega$, $X_L=X_C=6\Omega$ then write the values of the following:
(a) Root mean square value of voltage.'
(b) Impedance of circuit.

Answer 1

(a) $V_{rms}=\frac{V_P}{\sqrt{2}}$

$=\frac{220V}{\sqrt{2}}V$

$=155.56V$

(b) Impedance of an RLC circuit is given as

$Z=\sqrt{R^2+(X_L-X_C{)}^2}$

$=\sqrt{8^2+(6-6{)}^2}\Omega$

$=8\Omega$