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Same current i is flowing in the three i...

Same current i is flowing in the three infinitely long wires along positive x-,y- and z-directions. The magnetic filed at a point (0,0,-a) would be

A

`(mu_(0)i)/(2pia)(hatj-hat i)`

B

`(mu_(0)i)/(2pi a)(hat j + hat i)`

C

`(mu_(0)i)/(pia)(hatj - hat i)`

D

`(mu_(0)i)/(2pia)(hat I + hat j + hat k)`

Text Solution

Verified by Experts

The correct Answer is:
A
Magnetic field in diffeent direction are in the below `B_(y) =(mu_(0)i(-hati))/(2pia)` and `B_(x)=(mu_(0)ihatj)/(2pia)`
Magnetic field `B_(net)=B_(x)+B_(y)`
`=(mu_(0)i)/(2pia)(hatj - hat i)`
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Knowledge Check

  • Equal currents are flowing in three infinitely long wires along positive x,y and z -directions. The magnetic field at a point (0,0-a) would be ( i= current in each wire)

    A
    `(mu_0i)/(2pia)(hatj-hati)`
    B
    `(mu_0i)/(2pia)(hati-hatj)`
    C
    `(mu_0hati)/(2pia)(hati+hatj)`
    D
    `(mu_0i)/(2pia)(-hati-hatj)`

  • Two infinitely long parallel wires carry equal current in same direction. The magnetic field at a mid point in between the two wires is

    A
    Twice the magnetic field produced due to each of the wires
    B
    Half of the magnetic field produced due to each of the wires
    C
    Square of the magnetic field produced due to each of the wires
    D
    Zero

  • Assertion : A current I flows along the length of an infinitely long straight and thin walled pipe. Then the magnetic field at any point inside the pipe is zero. Reason : oint vecB.dvecl=mu_(0)I

    A
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    B
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