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Two alternating currents are given by ...

Two alternating currents are given by
`i_1 = i_0 sin omegat and i_2 = i_0 sin (omegat + (pi)/3))`.
Will the rms values of the currents be equal or different?

Answer

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Knowledge Check

  • An alternating current is given by I = i_1 cos omegat + i_2 sin omegat . The rms current is given by

    A
    `(i_1 + i_2)/(sqrt2)`
    B
    `(|i_1 + i_2|)/(sqrt2)`
    C
    `sqrt((i_1^2 + i_2^2)/(2)`
    D
    `sqrt((i_1^2 + i_2^2)/(sqrt2)`
  • The rms value of the emf given by E = 8 sin omegat + 6 sin 2omegat .

    A
    `5sqrt2 V`
    B
    `7sqrt2 V`
    C
    `10V`
    D
    `10sqrt2V`
  • An alternating current is given by (sqrt(3) sin omegat + cos omegat) . The rms current is :

    A
    2
    B
    `sqrt(2)`
    C
    `2sqrt(2)`
    D
    4
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