Answer:
The magnitude of the magnetic field at the origin is .
Explanation:
Given :
50-A wire is in the x-z plane and is 5 m from the z axis.
Also , 40-A wire is in the y-z plane and is 4 m from the z axis.
Now , since both the wire are perpendicular to each other .
Therefore , magnetic field are also perpendicular to each other .
Magnetic field at origin due to wire 1 is :
Magnetic field at origin due to wire 2 is :
Now , therefore net magnetic field is :
Putting value of
We get ,
Therefore, the magnitude of the magnetic field at the origin is .