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DFCCIL Junior Executive S&T 2018 Official Paper

Option 2 : 280 V

**Concept:**

**RMS value of a sine wave**

\({V_{rms}} = \frac{{{V_m}}}{{√ 2 }}\)

**Calculation:**

V_{rms} = 100 V

V_{m} = 100√2

Vm = 140 V

**2Vm = 280 V (Peak to Peak)**

__Additional Information__

Form Factor:

The form factor of an alternating current waveform is the ratio of the RMS value to the average value.

\(Form~Factor=\frac{RMS~Value}{Average~Value}\)

Peak factor

- The peak factor is the peak amplitude of the waveform divided by the RMS value of the waveform.

\(Peak~Factor=\frac{Peak~Amplitude}{RMS~Value}\)

- For square waveform form factor and peak, the factor is the same and the value is one.