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. $16000\Omega$

Answer 1

The correct option is C $4000\Omega$

Given inductive reactance is $X_L=\omega L=1000\Omega$
If frequency and $L$ are doubled,
$(X_L{)}_{new}=\left(2\omega \right)\left(2L\right)=4\times 1000=4000\Omega$