First slide
Alternating Current and voltage
Question

An ac is given by equationI=I1cosωt+I2sinωt . The rms value of current is given by:

Moderate
Solution

I=I1cosωt+I2sinωt

(I2)mean=I12cos2ωt¯+I22sin2ωt¯+2I1I2cosωtsinωt¯

=I12×12+I22×12+2I1I2×0

Irms=(I12+I22)1/22

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