Home
Class 12
PHYSICS
If a direct current of value 'a' ampere ...

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))`

Text Solution

Verified by Experts

The correct Answer is:
B
`I = a + b sin omega t , I_("rms") = (int I^(2) dt)/(int dt)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • ALTERNATING CURRENT

    NARAYNA|Exercise LEVEL - I (H.W)|23 Videos

  • ALTERNATING CURRENT

    NARAYNA|Exercise LEVEL - II(H.W)|13 Videos

  • ALTERNATING CURRENT

    NARAYNA|Exercise LEVEL - V|83 Videos

  • ATOMIC PHYSICS

    NARAYNA|Exercise LEVEL-II (H.W)|14 Videos

Similar Questions

Explore conceptually related problems

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?

A direct current of 5 sqrt( 2) 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

Knowledge Check

  • 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

  • A direct current of 5A 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))A`
    B
    `5 sqrt(3)`
    C
    `5sqrt(5)A`
    D
    `15 A`

    • Similar Questions

    Explore conceptually related problems

    A direct current of 10A is superimposed on an alternating current I = 40 cos wt. Amperes flowing through a wire. The effective value of the resulting current will be

    A direct current of 10A is superimposed on an alternating current I = 40 cos wt. Amperes flowing through a wire. The effective value of the resulting current will be

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

    A direct current of 10 A is superimposed on an alternating current / = 40 cos omegat (A) flowing through a wire. The effective value of the resulting current will be

    If instantaneous current in a circuit is given by I=(2+3 sin omegat) A, then the effective value of resulting current in the circuit is

    Home
    Profile