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JEE MainPhysicsAlternating Current

An alternating current is given by the equation i = 6 (100 t) + 8 (100 t) ampere. The RMS value of this current is

Options

  1. A10 ~A
  2. B5 2 ~A
  3. C7 2 ~A
  4. D14 ~A

Correct answer

B. 5 2 ~A

Step-by-step solution

The given current equation is i = 6 (100 t) + 8 (100 t) . This represents the superposition of two alternating currents with a phase difference of 2 . The resultant peak current i₀ can be found using phasor addition: i₀ = 6^2 + 8^2 = 36 + 64 = 100 = 10 ~A The RMS value of the current is given by: i_ rms = i₀ 2 = 10 2 = 5 2 ~A Answer: 5 2 ~A

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