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Help with curls and current density 1

  • #1
Help with curls and current density!!1

Homework Statement


In cylindrical coordinates, J = 105*(cos(2r)2)*az 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)aphi


Homework Equations


J = Del Operator X H


The Attempt at a Solution


Well I know I will be working backwards here. Im 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
 

Answers and Replies

  • #2
Hootenanny
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Science Advisor
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Homework Statement


In cylindrical coordinates, J = 105*(cos(2r)2)*az 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)aphi


Homework Equations


J = Del Operator X H


The Attempt at a Solution


Well I know I will be working backwards here. Im 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 (az). Which component of the curl operator will yield this components of J?
 
  • #3


Telling from the answer it looks like aphi
 
  • #4
Hootenanny
Staff Emeritus
Science Advisor
Gold Member
9,622
6


Telling from the answer it looks like aphi
I meant in terms of partial differentials.
 

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