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COMEDK · Physics · 23. Alternating Current

An electronic device operates at 2 MHz. The oscillating circuit has an inductance \(20 \times 10^{-5}\) H. What is the capacitive reactance of the resonant circuit?

  1. A \(5024\ \Omega\)
  2. B \(251.2\ \Omega\)
  3. C \(2512\ \Omega\)
  4. D \(1256\ \Omega\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(2512\ \Omega\)

Step-by-step Solution

Detailed explanation

At resonance, the capacitive reactance is equal to the inductive reactance. \(X_C = X_L = \omega L = 2\pi f L\) Given \(f = 2 \times 10^6\) Hz and \(L = 20 \times 10^{-5}\) H. \(X_C = 2 \times 3.14 \times 2 \times 10^6 \times 20 \times 10^{-5}\)…
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