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.
Sorry for the images low quality and thank you all!
ordinary-differential-equations electromagnetism
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
$endgroup$
add a comment |
$begingroup$
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!
ordinary-differential-equations electromagnetism
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
$endgroup$
add a comment |
$begingroup$
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!
ordinary-differential-equations electromagnetism
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
$endgroup$
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!
ordinary-differential-equations electromagnetism
ordinary-differential-equations electromagnetism
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
asked Dec 28 '18 at 9:38
MiquelNMiquelN
11
11
add a comment |
add a comment |
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