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

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12i1+i22

12i1+i2

12i12+i2212

answer is D.

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Detailed Solution

Given :i=i1sin⁡ωt+i2cos⁡ωt⇒i2=i12sin2⁡ωt+i22cos2⁡ωt+2i1i2sin⁡ωtcos⁡ωt⇒=i1212+i2212+0 Thus, irms==i12+i22212

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