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Q.

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

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a

I1+I22

b

(I1+I2)22

c

12(I12+I22)

d

I12+I222

answer is C.

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Detailed Solution

I=I1cosωt+I2sinωt (I2)mean=I12cos2ωt¯+I22sin2ωt¯+2I1I2cosωtsinωt¯ =I12×12+I22×12+2I1I2×0 Irms=(I12+I22)1/22
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An ac is given by equationI=I1cosωt+I2sinωt . The rms value of current is given by: