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JEE Main202126 Feb 2021Morning ShiftPhysicsAlternating CurrentActual

An alternating current is given by the equation i = i 1 sin ω t + i 2 cos ω t . The rms current will be:

Options

  1. A1 2 i 1 + i 2 2
  2. B1 2 i 1 + i 2
  3. C1 2 i 1 2 + i 2 2 1 2
  4. D1 2 i 1 2 + i 2 2 1 2

Correct answer

D. 1 2 i 1 2 + i 2 2 1 2

Step-by-step solution

i = i 1 sin ω t + i 2 sin ω t + 90 i = i 1 2 + i 2 2 sin ω t + ϕ i rms = i 0 2 = i 1 2 + i 2 2 2

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