An alternating current is given by the equation i = i 1 sin ω t + i 2 cos ω t . The rms current…

An alternating current is given by the equation i=i1sinωt+i2cosωt. The rms current will be:
  1. 12i1+i22
  2. 12i1+i2
  3. 12i12+i2212
  4. 12i12+i2212

Solution

i=i1sinωt+i2sinωt+90

i=i12+i22sinωt+ϕ

irms=i02=i12+i222

Asked in: JEE Main 2021 (26 Feb Shift 1)

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