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NEETPhysicsAlternating Current

The instantaneous current from an AC source is given by the equation i = 14.14 (100 t) , where i is in amperes and t is in seconds. What is the RMS value of the current?

Options

  1. A14.14 A
  2. B20 A
  3. C10 A
  4. D50 A

Correct answer

C. 10 A

Step-by-step solution

The standard equation for an alternating current is i = I₀ ( t) , where I₀ is the peak current. Comparing the given equation i = 14.14 (100 t) with the standard form, we find the peak current to be: I₀ = 14.14 A The RMS value of the current ( I_ rms ) is related to the peak current by the formula: I_ rms = I₀ 2 Using the approximation 2 1.414 , we get: I_ rms = 14.14 1.414 = 10 A Therefore, the RMS value of the current is 10 A . Answer: 10 A

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