1. The problem statement, all variables and given/known data
There's a ring of radius R with linear uniform charge density [tex]\lambda=constant[/tex] (which includes both free charges and polarization charges). The ring is in a dielectric region with [tex]\varepsilon_r[/tex]. I have to find the electric field on any point of the axis of the ring
2. Relevant equations
[tex]\vec E=\int \frac{\lambda dl (\vec r - \vec r')}{| \vec r - \vec r' | ^3}[/tex]
3. The attempt at a solution
I actually don't know and coulnd't find anywhere if I can calculate the electric field using the above formula when [tex]\lambda[/tex] includes free AND polarization charges.
There's a ring of radius R with linear uniform charge density [tex]\lambda=constant[/tex] (which includes both free charges and polarization charges). The ring is in a dielectric region with [tex]\varepsilon_r[/tex]. I have to find the electric field on any point of the axis of the ring
2. Relevant equations
[tex]\vec E=\int \frac{\lambda dl (\vec r - \vec r')}{| \vec r - \vec r' | ^3}[/tex]
3. The attempt at a solution
I actually don't know and coulnd't find anywhere if I can calculate the electric field using the above formula when [tex]\lambda[/tex] includes free AND polarization charges.
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