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If a function f(x) is defined on a infinite interval [0, oo], then its average value will be mu= underset(b rarr oo)(lim) (1)/(b) int_(0)^(b) f(x)dx, If this limit exists. Find the average power consumption of an alternating current circuit if the current intensity I and voltage u are expressed by the following formulas, respectively: I= I_(0) cos (omega t + alpha), u= mu_(0)cos (omega t + alpha + varphi ), where varphi is the constant phase shift of the voltage as compared with the current intensity (the parameters omega and alpha will not enter into the expression for the average power) |
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