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AP EAMCET · PHYSICS · Alternating Current

A \(100 \mu \mathrm{F}\) capacitor is connected to a \(100 \mathrm{~V}\), \(50 \mathrm{~Hz}\) AC supply. The rms value of the current is

  1. A \(3.14 \mathrm{~A}\)
  2. B \(4.75 \mathrm{~A}\)
  3. C \(2.33 \mathrm{~A}\)
  4. D \(5.5 \mathrm{~A}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(3.14 \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

Given, \(V_{\mathrm{rms}}=100 \mathrm{~V}, f=50 \mathrm{~Hz}\) \(C_1=100 \mu \mathrm{F}=100 \times 10^{-6} \mathrm{~F}\) Now, reactance of capacitor, \(X_C=\frac{1}{C \omega}=\frac{1}{C \times 2 \pi f}\)…