First slide

Alternating current and voltage

Question

The graph of alternating emf versus time is shown in the figure. The average of this alternating emf in the first one-half cycle will be

Moderate

A

${V_o}/\sqrt 3$
B

${V_o}/2$
C

$4{V_o}/5$
D

$5{V_o}/8$

Solution

${V_{avg}} = \frac{{\int\limits_0^{T/2} {Vdt} }}{{\int\limits_0^{T/2} {dt} }}$
Area of the triangle divided by the time interval (T/2) will also provide the average value of the signal.

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