Help with curls and current density 1

[FatoonsBaby71]

Help with curls and current density!1

Homework Statement

In cylindrical coordinates, J = 10⁵*(cos(2r)²)*a_z in a certain region. Obtain H from this current density and then take the curl of H and compare with J.

Answer H = 10⁵*(r/4+sin4r/8+cos4r/32r-1/32r)a_phi

Homework Equations

J = Del Operator X H

The Attempt at a Solution

Well I know I will be working backwards here. I am given the current density and they want H. However can anyone provide hints for me for the inverse of the del operator. Am I just going ot take the integral of everything as opposed to the partial derivative.??

Thanks

 

[Hootenanny]

Homework Statement

In cylindrical coordinates, J = 10⁵*(cos(2r)²)*a_z in a certain region. Obtain H from this current density and then take the curl of H and compare with J.

Answer H = 10⁵*(r/4+sin4r/8+cos4r/32r-1/32r)a_phi

Homework Equations

J = Del Operator X H

The Attempt at a Solution

Well I know I will be working backwards here. I am given the current density and they want H. However can anyone provide hints for me for the inverse of the del operator. Am I just going ot take the integral of everything as opposed to the partial derivative.??

Thanks

Here the current density has only one component (a_z). Which component of the curl operator will yield this components of J?

 

[FatoonsBaby71]

Telling from the answer it looks like a_phi

 

[Hootenanny]

Telling from the answer it looks like a_phi

I meant in terms of partial differentials.