Question

In an $L-C-R$ series circuit, the values of $R,X_L$ and $X_C$ are $120\Omega ,180\Omega$ and $130\Omega$, what is the impedance of the circuit?

• A. $120\Omega$
• B. $130\Omega$
• C. $180\Omega$
• D. $330\Omega$

Answer 1

The correct option is B $130\Omega$

Given, $R=120\Omega$
$X_L=180\Omega$ and $X_C=130\Omega$
The impedance of $L-C-R$ circuit
$Z=\sqrt{R^2+(X_L-X_C{)}^2}$
$Z=\sqrt{(120{)}^2+(180-130{)}^2}$
$Z=130\Omega$.