0
$\begingroup$

I am trying to find an alternative way of calculating the electric field inside and outside of a sphere with charge density σ, all of it in its surface. The sphere has a radius R.

I am trying to fin this field (inside and outside) by superposing the electric field of several circular loops.

Do you have any idea how to tackle this? I can't seem to find a way to start solving it (thank God Gauss' law exists, btw :) )

Thanks in advance!

$\endgroup$

2 Answers 2

0
$\begingroup$

How do you envisage your "circular loops"?

If a sphere's major axis is the x axis, are the "circular loops" concentric with the x axis and ranging from x=-R to x=+R?

If so, compute the charge on each elemental "loop" $ d\sigma $ and integrate using Coulomb's law. Exploit symmetry of course.

$\endgroup$
0
$\begingroup$

You should try it by cutting the sphere into circular rings along the axis joining the point where you want to find the field and the centre of the sphere

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.