For the voltage and current wave forms shown in the figure, which of the following is true? 

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MPPGCL JE Electrical 28 April 2023 Shift 1 Official Paper
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  1. Form factor of voltage wave form = Peak factor of current wave form 
  2. Peak factor of voltage wave form = Form factor of current wave form 
  3. Form factor of current wave form = Peak factor of current wave form
  4. Form factor of voltage wave form = Form factor of current wave form

Answer (Detailed Solution Below)

Option 4 : Form factor of voltage wave form = Form factor of current wave form
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MPPGCL JE Electrical Full Test 1
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Detailed Solution

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Concept

Form Factor: It is defined as the ratio of the RMS (Root Mean Square) value to the Average (Mean) value of a waveform.

For a pure sinusoidal waveform, the form factor is 1.11.

Peak Factor (Crest Factor): It is defined as the ratio of the Peak (Maximum) value to the RMS value.

For a pure sinusoidal waveform, the peak factor is 1.414.

Explanation

The above image shows sinusoidal waveforms for both voltage (V) and current (I) with a 90-degree phase shift.

Since both are pure sinusoids, the form factor of both waveforms should be equal. There is a 90-degree phase shift between them, meaning they are out of phase, but their waveform shapes remain identical in terms of amplitude variations.

Form factor of voltage waveform = Form factor of current waveform

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