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The average value of alternating curr...

The average value of alternating current over a complete cycle is

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The value of alteranting current is positive during half cycle and negative during another half cycle. Thus, the average value of current over one complete cycle is zero.
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Prove mathematically that the average value of alternating current over one complete cycle is zero.

Rms value of an alternating current .

Knowledge Check

  • The rms value of an alternating current

    A
    is equal to 0.707 times peak value
    B
    is equal to 0.636 times peak value
    C
    is equal sqrt2 times the peak value
    D
    none of the above

  • The resultant current wave in an electric circuit consists of two components (i) a 10 A d.c. component and (ii) a 50 Hz a.c. Component, having a sinusoidal wave form and which has the peak value of 10 A. If a time t=0, the a.c. component has zero value and dI//dt is positive, then the average value of the resultant current over a complete cycle is

    A
    `5 A`
    B
    `10 A`
    C
    `14.4 A`
    D
    0

  • The average value of alternating current for half cycle in terms of I_(0) is

    A
    `(2I_(0))/(pi) `
    B
    `(I_(0))/(pi)`
    C
    `(i_(0))/(sqrt(2))`
    D
    0

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