What is the average value of a sinusoidal wave having maximum voltage value of 520V? 

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  1. 330.72 V
  2. 360.45 V 
  3. 420.35 V
  4. 260 V

Answer (Detailed Solution Below)

Option 1 : 330.72 V
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Representation of a sinusoidal wave

F3 S.B Madhu 13.03.20 D3

In the figure, A represents the maximum value and T represents the time period.

The average value of a sine wave is given by:

\(V_{o(avg)}={2V_m\over \pi}\)

The RMS value of a sine wave is given by:

\(V_{o(RMS)}={V_m\over \sqrt{2}}\)

Calculation

Given, Vm = 520 V

\(V_{o(avg)}={2\times 520\over \pi}\)

Vo(avg) = 330.72 V

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