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JEE Mains · Physics · STD 12 -7. Alternating current

When a dc voltage of \(100 \mathrm{~V}\) is applied to an inductor, a dc current of \(5 \mathrm{~A}\) flows through \(1\) . When an ac voltage of \(200 \mathrm{~V}\) peak value is connected to inductor, its inductive reactance is found to be \(20 \sqrt{3} \Omega\). The power dissipated in the circuit is _______\(W\).

  1. A \(238\)
  2. B \(240\)
  3. C \(245\)
  4. D \(250\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(250\)

Step-by-step Solution

Detailed explanation

For \(DC\) voltage \(\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}=\frac{100}{5}=20 \Omega\) for \(AC\) voltage \(\mathrm{X}_{\mathrm{L}}=20 \sqrt{3} \Omega\) \(\mathrm{R}=20 \Omega\) \(\mathrm{Z}=\sqrt{\mathrm{X}_{\mathrm{L}}^2+\mathrm{R}^2}=\sqrt{3 \times 400+400}=40\) Power…
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