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Q.

An ac is given by equation I=I1cosωt+I2sinωt. The rms value of current is given by

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a

I1+I22

b

I1+I222

c

I12+I222

d

I12+I222

answer is C.

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Detailed Solution

I=I1cosωt+I2sinωtI2mean=I12cos2ωt+I22sin2ωt+2I1I2cosωtsinωt=I12××12+I22×12+2I1I2×0Irms=I2mean=I12+I222
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An ac is given by equation I=I1cosωt+I2sinωt. The rms value of current is given by