MHT CET · Physics · Alternating Current
An a.c. source of frequency ' \(f\) ' is connected to a circuit containing an inductance ' \(L\) ' and resistance ' \(R\) ' in series. The impedance of this circuit is
- A \(\sqrt{\mathrm{R}^2+2 \pi \mathrm{fL}^2}\)
- B \(\sqrt{R^2+L^2}\)
- C \(\mathrm{R}+2 \pi \mathrm{fL}\)
- D \(\sqrt{R^2+4 \pi^2 f^2 L^2}\)
Answer & Solution
Correct Answer
(D) \(\sqrt{R^2+4 \pi^2 f^2 L^2}\)
Step-by-step Solution
Detailed explanation
\(Z = \sqrt{R^2 + X_L^2}\) \(X_L = 2 \pi f L\)
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