COMEDK · Physics · 23. Alternating Current
What should be the value of the inductance of the coil which is to be connected to 220 V , 50 Hz supply so that maximum current of \(3 \sqrt{2} A\) flows through the circuit?
- A \(L=\left(\dfrac{15}{11 \pi}\right) H\)
- B \(L=\left(\dfrac{22}{15}\right) H\)
- C \(L=\left(\dfrac{22}{15} \sqrt{2}\right) H\)
- D \(L=\left(\dfrac{11}{15 \pi}\right) H\)
Answer & Solution
Correct Answer
(D) \(L=\left(\dfrac{11}{15 \pi}\right) H\)
Step-by-step Solution
Detailed explanation
Given the supply voltage \(V_{rms} = 220\) V and frequency \(f = 50\) Hz. The peak current \(I_0 = 3\sqrt{2}\) A. The root mean square current \(I_{rms}\) is given by \(I_{rms} = \dfrac{I_0}{\sqrt{2}} = \dfrac{3\sqrt{2}}{\sqrt{2}} = 3\) A. The inductive reactance \(X_L\) is…
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