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AP EAMCET · PHYSICS · Alternating Current

A circuit containing inductance of \(\frac{1}{6 \pi} \mathrm{H}\) and a resistance of \(15 \Omega\) in series. If an \(A C\) voltage of \(100 \mathrm{~V}\) and \(60 \mathrm{~Hz}\) is applied to above circuit, then the current in the circuit and phase difference between voltage and current respectively are

  1. A \(4 \mathrm{~A}\) and \(\tan ^{-1}\left(\frac{4}{5}\right)\)
  2. B \(5.3 \mathrm{~A}\) and \(\tan ^{-1}\left(\frac{3}{4}\right)\)
  3. C \(4 \mathrm{~A}\) and \(\tan ^{-1}\left(\frac{4}{3}\right)\)
  4. D 5.3 \(\mathrm{A}\) and \(\tan ^{-1}\left(\frac{4}{3}\right)\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(4 \mathrm{~A}\) and \(\tan ^{-1}\left(\frac{4}{3}\right)\)

Step-by-step Solution

Detailed explanation

Circuit given is, Inductive reactance of circuit, \[ \begin{aligned} & X_L=L \omega=L .2 \pi f \\ \Rightarrow \quad & X_L=\frac{1}{6 \pi} \times 2 \pi \times 60 \Rightarrow X_L=20 \Omega . \end{aligned} \] Impedence of circuit,…
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