Find the differential equation that the function $f$ must verify in order to respect Maxwell's equations, and...












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I'm asked to find the differential equation that $f(theta)$ must verify in order to respect Maxwell's equations and the relation between parameters $A$ and $B$. They give me this equation for the auxiliar magnetic field:



$H_phi(r)=(A/r+B/r^2)f(theta)exp(-jkr) $



Even though I've been able to find the electric field I don't see how to get what they're asking for. The only Maxwell equation that seems to give me some information about the function and the parameters $A$ and $B$ is the rotational of the electric field.



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    I'm asked to find the differential equation that $f(theta)$ must verify in order to respect Maxwell's equations and the relation between parameters $A$ and $B$. They give me this equation for the auxiliar magnetic field:



    $H_phi(r)=(A/r+B/r^2)f(theta)exp(-jkr) $



    Even though I've been able to find the electric field I don't see how to get what they're asking for. The only Maxwell equation that seems to give me some information about the function and the parameters $A$ and $B$ is the rotational of the electric field.



    Sorry for the images low quality and thank you all!










    share|cite|improve this question

























      0












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      0







      I'm asked to find the differential equation that $f(theta)$ must verify in order to respect Maxwell's equations and the relation between parameters $A$ and $B$. They give me this equation for the auxiliar magnetic field:



      $H_phi(r)=(A/r+B/r^2)f(theta)exp(-jkr) $



      Even though I've been able to find the electric field I don't see how to get what they're asking for. The only Maxwell equation that seems to give me some information about the function and the parameters $A$ and $B$ is the rotational of the electric field.



      Sorry for the images low quality and thank you all!










      share|cite|improve this question













      I'm asked to find the differential equation that $f(theta)$ must verify in order to respect Maxwell's equations and the relation between parameters $A$ and $B$. They give me this equation for the auxiliar magnetic field:



      $H_phi(r)=(A/r+B/r^2)f(theta)exp(-jkr) $



      Even though I've been able to find the electric field I don't see how to get what they're asking for. The only Maxwell equation that seems to give me some information about the function and the parameters $A$ and $B$ is the rotational of the electric field.



      Sorry for the images low quality and thank you all!







      differential-equations electromagnetism






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      share|cite|improve this question











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      asked Dec 28 '18 at 9:38









      MiquelN

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