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The alternating current flowing through a circuit is given by the equation i = 10 (50 t) A . The root mean square (rms) value of this current is:

Options

  1. A5 2 A
  2. B10 2 A
  3. C10 A
  4. D5 A

Correct answer

A. 5 2 A

Step-by-step solution

The given equation for the alternating current is i = 10 (50 t) A. Comparing this with the standard equation of alternating current i = I₀ ( t) , the peak value of the current is I₀ = 10 A. The root mean square (rms) value of the current is given by the relation: I_ rms = I₀ 2 Substituting the value of I₀ : I_ rms = 10 2 = 5 2 A. Answer: 5 2 A

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