Question

An inductance of 0.2 H and a resistance of 100$\Omega$ are connected in series to an A.C. 180 V, 50 Hz supply. The apparent current flowing in the circuit will be

• A. 0.525 A
• B. 5.25 A
• C. 1.525 A
• D. 15.25 A

Answer 1

The correct option is C 1.525 A

$Z=\sqrt{X_L^2+R^2}$

$=\sqrt{(2\pi fL{)}^2+R^2}$

$=\sqrt{(2\pi 50\times 0.2{)}^2+(100{)}^2}$

$=\sqrt{13947.84}$

$=118.1\Omega$

$i=\frac{V}{Z}$

$=\frac{180}{118.1}$

$=1.525A$