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If the rms current in a 50 Hz ac circuit...

If the rms current in a 50 Hz ac circuit is 5 A, the value of the current `1/300`s after its value becomes zero is _____

A

`5sqrt2A`

B

`5sqrt(3/2)A`

C

`5/6A`

D

`5/sqrt2A`

Text Solution

Verified by Experts

The correct Answer is:
B
`I_(rms)=I_m/sqrt2` where `I_m`=maximum current
`therefore I_m = sqrt2xxI_(rms)=sqrt2xx5A`
Now `t=1/300`s
`I=I_m sin omegat`
`=5sqrt2sin 2pivt`
`=5sqrt2sin 2pixx50xx1/300`
`=5sqrt2"sin"pi/3`
`=5sqrt2 xx sqrt3/2`
`=5sqrt(3/2)`A
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Knowledge Check

  • What is the rms value of the current for A current I=100 cos (200t + 45^@ ) A ?

    A
    `50sqrt2A`
    B
    100A
    C
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    D
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  • The resistance of galvanomenter is G and its current capacity is I_(g) . To increase the current capacity by 'n' times, the required value of shunt is ______ .

    A
    `G/(n-1)`
    B
    `(I_(g)*G)/(n-1)`
    C
    `(nG)/(n-1)`
    D
    `(I_(g)*G)/(I-n*I_(g))`

  • If an A.C. current of frequency 50 Hz is flowing through a conducting wire, then how many time does the current becomes zero in one second ?

    A
    25 times
    B
    50 times
    C
    75 times
    D
    100 times

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