The form factor of an alternating quantity is the ratio of:

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This question was previously asked in

ALP CBT 2 Electrician Previous Paper: Held on 23 Jan 2019 Shift 2

Answer 1

The form factor is defined as the ratio of the RMS value to the average value of an alternating quantity.

F.F. (Form factor) = \(\frac{{R.M.S\;Value}}{{Average\;Value}}\)

Crest Factor ‘or’ Peak Factor is defined as the ratio of the maximum value to the R.M.S value of an alternating quantity.

C.F. ‘or’ P.F. = \(\frac{{Maximum\;Value}}{{R.M.S\;Value}}\)

IMPORTANT EVALUATIONS:

WAVEFORM	SHAPE	MAX. VALUE	AVERAGE VALUE	RMS VALUE	FORM FACTOR	CREST FACTOR
SINUSOIDAL WAVE		\({A_m}\)	\(\frac{{2{A_m}}}{\pi }\)	\(\frac{{{A_m}}}{{\sqrt 2 }}\)	\(\frac{{\frac{{{A_m}}}{{\sqrt 2 }}}}{{\frac{{2{A_m}}}{\pi }}} = 1.11\)	\(\frac{{{A_m}}}{{\frac{{{A_m}}}{{\sqrt 2 }}}} = \sqrt 2 \)
SQUARE WAVE		\({A_m}\)	\({A_m}\)	\({A_m}\)	\(\frac{{{A_m}}}{{{A_m}}} = 1\)	\(\frac{{{A_m}}}{{{A_m}}} = 1\)
TRIANGULAR WAVE		\({A_m}\)	\(\frac{{{A_m}}}{2}\)	\(\frac{{{A_m}}}{{\sqrt 3 }}\)	\(\frac{{\frac{{{A_m}}}{{\sqrt 3 }}}}{{\frac{{{A_m}}}{2}}} = \frac{2}{{\sqrt 3 }}\)	\(\frac{{{A_m}}}{{\frac{{{A_m}}}{{\sqrt 3 }}}} = \sqrt 3 \)
HALF-WAVE RECTIFIED WAVE		\({A_m}\)	\(\frac{{{A_m}}}{\pi }\)	\(\frac{{{A_m}}}{2}\)	\(\frac{{\frac{{{A_m}}}{2}}}{{\frac{{{A_m}}}{\pi }}} = \frac{\pi }{2}\)	\(2\)