Finding Zero Magnetic Field for a Magnetic Dipole

[deusexlumina]

Homework Statement

A magnetic dipole m = -m0^z is situated at the origin, in an otherwise uniform magnetic
eld B = B0^z. Show that there exists a spherical surface, centered at the origin, through
which no magnetic eld lines pass. Find the radius of this sphere, and sketch the eld lines,
inside and out.

Homework Equations

The Attempt at a Solution

I have no idea how to approach this question. please don't solve it for me, but if you could point me in the right direction to try and solve this i would be grateful.

 

[gabbagabbahey]

Homework Statement

A magnetic dipole m = -m0^z is situated at the origin, in an otherwise uniform magnetic
eld B = B0^z. Show that there exists a spherical surface, centered at the origin, through
which no magnetic eld lines pass. Find the radius of this sphere, and sketch the eld lines,
inside and out.

Homework Equations

The Attempt at a Solution

I have no idea how to approach this question. please don't solve it for me, but if you could point me in the right direction to try and solve this i would be grateful.

You might start by finding the total magnetic field (what is the field of aa magnetic dipole) and the finding where it is zero