Question

The inductive reactance of a coil is $1000\Omega$. If its self inductance and frequency both are increased two times, then inductive reactance will be

• A. $1000\Omega$
• B. $2000\Omega$
• C. $4000\Omega$
• D. $5000\Omega$

Answer 1

The correct option is C $4000\Omega$

Inductive reactance of the coil
$X_L=\omega L=1000\Omega$

Given that both $L$ and $\omega$ are doubled. So,
$(X_L{)}_{\text{new}}=(2\omega \left)\right(2L)=4\times 1000=4000\Omega$