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

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

A

`5sqrt(2)A`

B

`5sqrt((3)/(2))A`

C

`(5)/(6)A`

D

`(5)/(sqrt(2))A`

Text Solution

Verified by Experts

The correct Answer is:
B
Here, `I_("rms")=5A, upsilon = 50 Hz, t=(1)/(300)s`
`I_(0) = sqrt(2)I_("rms")=5sqrt(2)A`,
`I=I_(0)sin omega t=I_(0)sin 2pi upsilon t = 5sqrt(2) sin (2pixx50xx(1)/(300))`
`=5sqrt(2)"sin" (pi)/(3)=5sqrt(2)(sqrt(3))/(2)=5 sqrt((3)/(2))A`
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Knowledge Check

  • If the rms current in a 50 Hz a.c. circuit is 5 A, the value of the currents 1/300 s after its value becomes zero is

    A
    `5sqrt(2)` A
    B
    `5sqrt(3/2)` A
    C
    `5/6` A
    D
    `5/sqrt(2) A`

  • The rms value of current in an ac circuit is 25 A, then peak current is

    A
    `35.36 mA`
    B
    `35.36 A`
    C
    `3.536 A`
    D
    `49.38 A`

  • In a purely capacitive ac circuit, the value of current is:

    A
    `i_(m) sin ( omegat + (pi)/(4))`
    B
    `i_(m) cos (omegat + (pi)/(2))`
    C
    `i_(m) sin (omega t + (pi)/(2))`
    D
    `i_(m) cos ( omegat + (pi)/(4))`