# Problem: A flat coil of wire is placed in a uniform magnetic field that is in the y direction. (i) The magnetic flux through the coil is maximum if the coil is (a) in the xy plane.(b) in either the xy or the yz plane.(c) in the xz plane.(d) in any orientation, because it is constant. (ii) For what orientation is the flux zero? Choose from the same possibilities.

###### FREE Expert Solution

Magnetic flux:

$\overline{){{\mathbf{\varphi }}}_{{\mathbf{B}}}{\mathbf{=}}{\mathbf{B}}{\mathbf{A}}{\mathbf{c}}{\mathbf{o}}{\mathbf{s}}{\mathbf{\theta }}}$

θ is the angle between the magnetic field and normal to the area.

(i)

In the xz direction, the magnetic field is parallel to the area *vector*, which is normal to the imaginary surface ###### Problem Details

A flat coil of wire is placed in a uniform magnetic field that is in the y direction.

(i) The magnetic flux through the coil is maximum if the coil is

(a) in the xy plane.

(b) in either the xy or the yz plane.

(c) in the xz plane.

(d) in any orientation, because it is constant.

(ii) For what orientation is the flux zero? Choose from the same possibilities.