JEE Main 20246 AprilMorning Shift
- Exam
- JEE Main
- Year
- 2024
- Date
- 6 April
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Alternating Current
JEE Main 2024 · 6 April · Morning Shift · Physics · Alternating Current
When a d c voltage of 100 ~V is applied to an inductor, a d c...
When a voltage of is applied to an inductor, a current of flows through it. When an ac voltage of peak value is connected to inductor, its inductive reactance is found to be . The power dissipated in the circuit is _______ W.
Correct answer
0
Step-by-step solution
For DC voltage
\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}=\frac{100}{5}=20 \Omega
for AC voltage
\begin{aligned}
& \mathrm{X}_{\mathrm{L}}=20 \sqrt{3} \Omega \\
& \mathrm{R}=20 \Omega \\
& \mathrm{Z}=\sqrt{\mathrm{X}_{\mathrm{L}^2+\mathrm{R}^2}=\sqrt{3 \times 400+400}=40 \Omega \\
& \text{ Power }=\mathrm{i}_{\text{rms }^2 \mathrm{R} \\
& \quad=\left(\frac{\mathrm{V}_{\text{rms }}}{\mathrm{Z}}\right)^2 \times \mathrm{R}=\left(\frac{\frac{200}{\sqrt{2}}}{40}\right)^2 \times 20=250 \mathrm{ W}
\end{aligned}