Which of the following waves has the highest value of peak factor or form factor?

 

Q. Which of the following waves has the highest value of peak factor or form factor? निम्नलिखित में से किस तरंग में शिखर कारक का मान सबसे अधिक है?

A)स्क्वेर वेव [Square wave]
B)साइन वेव [Sine wave]
C)हाफ वेव रेक्टिफाइड साइन वेव [Half wave rectified sine wave]
D)त्रिकोणीय वेव [Triangular wave]

Answer: C)हाफ वेव रेक्टिफाइड साइन वेव [Half wave rectified sine wave]

 

Detailed Solution

Form Factor is the ratio of the RMS value to the average value.

Form Factor = rms value / average value

The half-wave converted sine wave has the highest value of the form factor.

 

Calculation:

RMS value = Vm /2
Average value = Vm/π

Form Factor = (Vm x π) / (2 x Vm) or  π/2 or 3.142 /2 =1.57

 

The table of the form factors of wave forms is given below:

1. Waveform               RMS Value          Form Factor
2. Sine Wave                0.707                      1.11
3. Triangular Wave      0.577                      1.154
4. Square Wave            1                             1
5. Sawtooth Wave        0.577                      1.154
6. Half wave rectified                                  1.57

 

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