Question

An inductance of negligible resistance whose reactance is $22\Omega$ at $200Hz$ is connected to $200$volt. If the line frequency is known to be $50$ cycles/second, the equation for the line voltage is :

• A. $0.0175$ Henry
• B. $0.175$ Henry
• C. $1.75$ Henry
• D. $17.5$ Henry

Answer 1

The correct option is A $0.0175$ Henry

$X_L=\omega L=2\pi nL$
$\therefore$ $L=\frac{X_L}{2\pi n}=\frac{22\times 7}{2\times 22\times 200}H=0.0175H$