The RMS value of a sine wave is 100 A. Its peak value is ________

Question

Examoogle · Accepted Answer

141.4 A

Explanation: Given: RMS current (I_{rms}) = 100 A

Formula Used: $$I_m = I_{rms} 	imes \sqrt{2}$$

Steps: Identify the relationship: The peak value ($I_m$) of a sinusoidal waveform is related to its Root Mean Square (RMS) value ($I_{rms}$) by a factor of $\sqrt{2}$.. Substitute the given values: Substitute the given RMS current value $I_{rms} = 100$ A into the formula.. Calculate the result: Perform the multiplication to find the peak value.

Answer: B is correct because the peak value is calculated as the product of the RMS value and $\sqrt{2}$, which results in $141.4$ A.

Exam Tip: This relationship is fundamental in AC power systems; remember that in domestic AC supply (e.g., 230V RMS), the peak voltage is significantly higher ($230 	imes \sqrt{2} \approx 325$ V), which determines the insulation requirements.

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