First slide
Alternating Current and voltage
Question

An alternating current is given by the equation i=i1 sinωt+i2 cosωt . The rms current will be:

Moderate
Solution

 Given :i=i1sinωt+i2cosωti2=i12sin2ωt+i22cos2ωt+2i1i2sinωtcosωt⇒<i2>=i1212+i2212+0 Thus, irms=<i2>=i12+i22212

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