Question

The plane of a conducting loop is oriented parallel to the x-y plane. A magnetic field is directed in the -z direction.

Answer 1

Answer:

D) Rotate the loop about an axis that is directed in the z direction and that passes through the center of the loop

Explanation:

The magnetic flux is defined as the total magnetic field times the area normal to the magnetic field lines.

Mathematically:

$\phi_B=\vec{B}.\vec{A}$

where:

$\vec{A}=$ area vector directed normal to the surface

$\vec{B}=$ magnetic field vector

• Now as the area of the loop changes there will be a change in magnetic flux.

• Change in the magnetic field strength will also change the flux accordingly.
• Since the loop lies in the x-y plane we will get a different area of normal projection on the plane whenever the inclination of the loop changes in xy-plane.
• Since the area of the loop all remains in the magnetic field while it rotates about the z axis to its center hence this will not affect area subjected  to the magnetic field.