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The instantaneous current from an AC sou...

The instantaneous current from an AC source is I = 6 sin (314 t ) ampere. What are the half cycle average and rms values of the current ?

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To solve the problem, we need to find the half cycle average and RMS values of the instantaneous current given by the equation: \[ I(t) = 6 \sin(314t) \, \text{A} \] ### Step 1: Identify the Peak Current (I₀) From the given equation, we can identify the peak current \( I_0 \): \[ I_0 = 6 \, \text{A} \] ...
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Knowledge Check

  • The instantaneous current in a circuit is, I=sin(omegat+phi) ampere. What is the r.m.s., value of the current?

    A
    `2A`
    B
    `sqrt(2)A`
    C
    `1A`
    D
    `1//sqrt(2)A`

  • If instantaneous value of current is I = 10 sin (314 t) A, then the average current for the half cycle will be –

    A
    `10A`
    B
    7.07 A
    C
    6.37 A
    D
    3.53 A

  • The instantaneous value of an AC is given by I = 5 sin ( omega t + ph ) amp. The rms value of current is

    A
    ` 5A `
    B
    ` ( 5 ) /( sqrt 2 ) A `
    C
    ` 5 sqrt 2 A `
    D
    ` 2.5 A `

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