Question

A current runs through a wire in the +y direction along the y-axis. What is the direction of the magnetic field at a point (x,y,z) = (0,0,1.045 m)

Answer 1

Answer:

Magnetic field at given point is along + x direction

Explanation:

As we know that position of the wire is along Y axis

current is flowing along +y direction

so here we will have

$\vec B = \frac{\mu_0 i (\vec {dl} \times \hat r)}{4\pi r^2}$

now the direction of length vector is along +Y direction

also the position vector is given as

$\hat r = \hat k$

now for the direction of magnetic field we can say

$\vec B = (\hat j \times \hat k)$

$\vec B = \hat i$

so magnetic field is along +X direction