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COMEDK · Physics · 23. Alternating Current

What should be the value of self-inductance of an inductor that should be connected to \(220 \mathrm{~V}\) \(50 \mathrm{~Hz}\) supply, so that a maximum current of \(0.9\) A flows through it?

  1. A \(11 \mathrm{H}\)
  2. B \(2 \mathrm{H}\)
  3. C \(1.1 \mathrm{H}\)
  4. D \(5 \mathrm{H}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(1.1 \mathrm{H}\)

Step-by-step Solution

Detailed explanation

The given supply voltage is \(V_{rms} = 220 \text{ V}\) and frequency \(f = 50 \text{ Hz}\). The maximum current is \(I_{max} = 0.9 \text{ A}\). The peak voltage \(V_{max}\) is given by \(V_{max} = V_{rms} \sqrt{2} = 220 \sqrt{2} \text{ V}\). The inductive reactance \(X_L\) is…