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JEE Main202628 January 2026Morning ShiftPhysicsAlternating CurrentActual

The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for the period t=0 to t=T is _ _ _ _ .

Options

  1. Ai_ o
  2. Bi_ o 6
  3. Ci_ o 3
  4. Di_ o 2

Correct answer

C. i_ o 3

Step-by-step solution

The RMS current is calculated using I_ rms = 1 T ₀^T i^2 dt . Given i = i₀(t/T) : I_ rms = 1 T ₀^T i₀^2 ( t T )^2 dt = i₀^2 T^3 ₀^T t^2 dt = i₀^2 T^3 T^3 3 = i₀^2 3 = i₀ 3 .

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