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MHT CET202410 May 2024Morning ShiftPhysicsAlternating CurrentActual

An e.m.f. E=E₀ t is applied to the L-R circuit. The inductive reactance is equal to the resistance ' R ' of the 'circuit. The power consumed in the circuit is

Options

  1. AE ₀^2 2 R
  2. BE ₀^2 2 R
  3. CE ₀^2 4 R
  4. DE ₀^2 R

Correct answer

C. E ₀^2 4 R

Step-by-step solution

aligned & P=E_ r m s I_ r m s & = R Z & Also, I_ r m s = E_ r m s Z = E₀ Z 2 & P= E₀ 2 E₀ Z 2 R Z &= E₀^2 R 2 Z^2 ...(i) aligned Given X _ L = R array ll & Z= R^2+R^2 = 2 R & P= E₀^2 4 R ...[From(i)] array

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