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I'm really stuck, I don't know how to start !

1. The problem statement, all variables and given/known data

In the regions whereJ=0, we have_{l}∇xH=0, so we can introduce a magnetic scalar potential Vm such asH=-∇Vm. A long cylinder of radius R of linear magnetic material of permeability μ_{r}. The cylinder axis is in z direction, and there's aHfield that is Ho*x^ far from the cylinder.

For symetrical reasons:

V_{m}=(As+B/s) cos(phi) V_{m}'=C*s*cos(phi)

V_{m}the potential outside the cylinder and V_{m}' inside.

Express A, B and C in terms of the other problem constants.

2. Relevant equations

∇⋅(μ_{o}H+μ_{o}M)=0 * * so * ∇⋅H=−∇⋅M

-ρ_{m}=∇²V_{m}

3. The attempt at a solution

If someone can explain me the steps to follow it would be great

I don't even understand what is the angle phi

Thanks

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# Homework Help: Scalar magnetic potential

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