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AP EAMCET · PHYSICS · Alternating Current

The reactance of an inductor at \(50 \mathrm{~Hz}\) is \(10 \Omega\). The reactance of it at \(200 \mathrm{~Hz}\) is

  1. A \(10 \Omega\)
  2. B \(40 \Omega\)
  3. C \(2.5 \Omega\)
  4. D \(20 \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(20 \Omega\)

Step-by-step Solution

Detailed explanation

Given, initial frequency, \(f_1=50 \mathrm{~Hz}\) Initial reactance, \(X_1=10 \Omega\) Final frequency, \(f_2=200 \mathrm{~Hz}\) Final reactance, \(X_2=\) ? Since, reactance, \(X=\omega L\) \[ =2 \pi f L \]…