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If a direct current of value a ampere is...

If a direct current of value a ampere is superimposed on an alternating current `1 = b sin omega t` flowing through a wire, what is the effective value of the resulting current in the circuit?

Text Solution

Verified by Experts

The correct Answer is:
`I_(eff)=[a^(2)+1/2b^(2)]^(1//2)`
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Knowledge Check

  • If a direct current of value 'a' ampere is supermposed on an alternating current I = b sin omega t flowing through a wire, what is the effective value of the resulting current in the circuit?

    A
    `sqrt(a^(2) + b^(2))`
    B
    `sqrt(a^(2) + (b^(2))/(2))`
    C
    `sqrt((a^(2))/(2) + b^(2))`
    D
    `sqrt(a^(2) + (b^(2))/(3))`

  • If a direct current of value a ampere is superimposed on an alternative current I=b sin omega t flowing through a wire, what is the effective value of the resulting current in the circuit?

    A
    `[a^(2)-1/2 b^(2)]^(1//2)`
    B
    `[a^(2)+b^(2)]^(1//2)`
    C
    `[(a^(2))/(2)+b^(2)]^(1//2)`
    D
    `[a^(2)+1/2 b^(2)]^(1//2)`

  • A direct current of 5 amp is superimposed on an alternating current I=10 sin omega t flowing through a wire. The effective value of the resulting current will be:

    A
    `(15//2)` amp
    B
    `5sqrt(3)` amp
    C
    `5sqrt(5)` amp
    D
    `15`amp

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