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MHT CET202313 May 2023Evening ShiftPhysicsAlternating CurrentActual

In a L - R circuit, the inductive reactance is equal to the resistance ' R ' in the circuit. An emf E = E ₀ t is applied to the circuit. The power consumed in the circuit is

Options

  1. AE ₀^2 2 R
  2. BE₀^2 4 R
  3. CE ₀^2 2 R
  4. DE ₀^2 8 R

Correct answer

B. E₀^2 4 R

Step-by-step solution

P = E _ rms I _ rms = R Z Also, I_ rms = E_ rms Z = E₀ Z 2 P= E₀ 2 E₀ Z 2 R Z = E₀^2 R 2 Z^2 Given X_L=R Z = R ^2+ R ^2 = 2 R P= E₀^2 4 R

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