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TS EAMCET · Physics · Alternating Current

A capacitor of capacitance \(100 \mu \mathrm{F}\) and a coil of resistance \(20 \Omega\) and inductance \(12.5 \mathrm{mH}\) are connected in series with a \(220 \mathrm{~V}, \frac{200}{\pi} \mathrm{Hz}\) AC source. The maximum value of instantaneous current in the circuit is

  1. A \(20 \mathrm{~A}\)
  2. B \(10 \mathrm{~A}\)
  3. C \(11 \mathrm{~A}\)
  4. D \(15 \mathrm{~A}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(11 \mathrm{~A}\)

Step-by-step Solution

Detailed explanation

\(\mathrm{x}_{\mathrm{L}}=\omega \mathrm{L}\) \[ \begin{aligned} & =2 \pi \mathrm{fL}=2 \pi \times \frac{200}{\pi} \times 12.5 \times 10^{-3} \\ & =400 \times 12.5 \times 10^{-3}=5 \Omega \end{aligned} \]…
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