COMEDK · Physics · 23. Alternating Current
What should be the inductance of an inductor connected to \(200 \mathrm{~V}, 50 \mathrm{~Hz}\) source so that the maximum current of \(\sqrt{2}\) A flows through it?
- A \(\dfrac{\pi}{2} H\)
- B \(2 \pi H\)
- C \(\dfrac{\sqrt{2}}{\pi} H\)
- D \(\dfrac{2}{\pi} \mathrm{H}\)
Answer & Solution
Correct Answer
(D) \(\dfrac{2}{\pi} \mathrm{H}\)
Step-by-step Solution
Detailed explanation
The root mean square voltage is given as \(V_{rms} = 200 \text{ V}\). The maximum current is given as \(I_{max} = \sqrt{2} \text{ A}\). The root mean square current is \(I_{rms} = \dfrac{I_{max}}{\sqrt{2}} = \dfrac{\sqrt{2}}{\sqrt{2}} = 1 \text{ A}\). The inductive reactance…
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