Correct Answer

Direct FormulaElectricalBasic Electrical

Option C

70.7A

Quick Summary: Given: Maximum value of current I_max = 100A

📋 Given

Maximum value of current $I_{max}$ = 100A

🔢 Formula Used

Irms=Imax2I_{rms} = \frac{I_{max}}{\sqrt{2}}Irms​=2​Imax​​

📊 Diagram / Illustration

🔢 Step-by-Step Solution

Identify given values

The maximum value (peak value) of the alternating current is given as $I_{max} = 100A$ .

Imax=100AI_{max} = 100AImax​=100A

Apply RMS formula

The Root Mean Square (RMS) value for a sinusoidal current is defined as the peak value divided by the square root of 2.

Irms=Imax2I_{rms} = \frac{I_{max}}{\sqrt{2}}Irms​=2​Imax​​

Perform calculation

Substitute $100A$ for $I_{max}$ and use $\sqrt{2} \approx 1.414$ to compute the result.

Irms=1001.414≈70.7AI_{rms} = \frac{100}{1.414} \approx 70.7AIrms​=1.414100​≈70.7A

✅

C is correct because the RMS value of a sinusoidal current is defined as $1/\sqrt{2}$ times its maximum value, resulting in $70.7A$ .

Core Concepts Used

Click any tag to open in AI Tutor

RMS Value Peak Value Alternating Current Fundamentals

💡 EXAM TIP

Remember that the factor $1/\sqrt{2} \approx 0.707$ applies to both voltage and current for sinusoidal waveforms, which is essential for calculating power in AC circuits ( $P = V_{rms} I_{rms} \cos\phi$ ).

Discussion (0)

Loading discussion...

Prev Next

Correct Answer

Related Questions

Discussion (0)