Question

Comprehension :

A $100\Omega$ resistance is connected in series with a $4\text{H}$ inductor. The voltage across the resistor is, $V_R=2.0\sin \left({10}^{3}t\right)\text{V}.$

$\left(ii\right)$ Find the inductive reactance-

• A.
  $2\times {10}^3\Omega$
• B.
  $3\times {10}^3\Omega$
• C.
  $4\times {10}^3\Omega$
• D.
  $5\times {10}^3\Omega$

Answer 1

The correct option is C

$4\times {10}^3\Omega$
Givn, $L=4\text{H};\omega ={10}^3$

Inductive reactance is,

$X_L=\omega L={10}^3\times 4$

$X_L=4\times {10}^3\Omega$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(C\right)$ is the correct answer.