Question

Impedance of the circuit shown in the figure is

• A. $100\Omega$
• B. $50\Omega$
• C. $30\Omega$
• D. $40\Omega$

Answer 1

The correct option is B $50\Omega$

The resistance is given as,

$R=\frac{V_R}{I}$

$R=\frac{120}{3}$

$R=40\Omega$

The reactance is given as,

$X_L=\frac{V_L}{I}$

$X_L=\frac{90}{3}$

$X_L=30\Omega$

The impedance is given as,

$Z=40+30\hat{i}$

$\left|Z\right|=\sqrt{{\left(40\right)}^2+{\left(30\right)}^2}$

$\left|Z\right|=50\Omega$

Thus, the impedance of the circuit is $50\Omega$.