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Magnetic induction at point P from shown...

Magnetic induction at point P from shown current-carrying long conductors is given by-

A

`(5mu_(0)I)/(2sqrt(2)pir)(sqrt2-1)`

B

`(mu_(0)I)/(sqrt(2)pir)(sqrt2-1)`

C

`(8mu_(0)I)/(2pir)(sqrt2-1)`

D

`(mu_(0)I)/(4pir)(sqrt2-1)`

Text Solution

Verified by Experts

The correct Answer is:
D

`B = (mu_(0)i)/(4pid)[sin90^(@)-sin theta]`
`theta = 45^(@)`
`sin 45^(@) = (d)/(r)`
`B = (mu_(0)isqrt(2))/(4pir)[1-(1)/(sqrt(2))]`
`=(mu_(0)i)/(4pir)(sqrt(2)-1)`
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Knowledge Check

  • Magnetic field at a point on the line of current carrying conductor is

    A
    maximum
    B
    infinity
    C
    zero
    D
    finite value

  • The magnetic field near a current carrying conductor is given by

    A
    Coulomb’s law
    B
    Lenz’ law
    C
    Biot-savart’s law
    D
    Kirchoff’s law

  • The direction of magnetic field around a current carrying conductor is given by

    A
    Fleming's left hand rule
    B
    Right hand thumb rule
    C
    Both (a) and (b)
    D
    None of these

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