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Q.
The average value of the wave-form shown in figure is.
Alternating Current
Solution:
Equation of line $AB$ is given by $y=10+\left(\frac{10}{T}\right) t$
$y_{ av }=\frac{1}{T} \int\limits_{0}^{T} y d t$
$=\frac{1}{T} \int\limits_{0}^{T}\left(10+\frac{10}{T} t\right) d t$
$=\frac{1}{T}\left|10 t+\frac{5 t^{2}}{T}\right|_{0}^{T}=15$
