E-field from uniformly distributed charges on sphere?

[yosimba2000]

So if I have a sphere of uniform charge distribution, the electric field at one point away from the circle would be affected by ALL individual charges distributed across the circle, right?

From the picture I drew, there would only be a net effect of E-field in the X direction because there would be equal opposing forces in the Y-direction as well as Z-direction, right?

If I added up all the electric fields in the X-direction at that point using Coulomb's law for each point charge on the sphere, would it also match the E-field calculated from Gauss's Law?

I've drawn a top-down picture here: https://imgur.com/a/kAQjS

 

[davenn]

I've drawn a top-down picture here: https://imgur.com/a/kAQjS

In future always try and post images to the thread ... It's much easier for people to discuss the query ...

there we go

 

[davenn]

is the sphere hollow or solid ?
Is point P a charge or are you just wanting to know what the E-field is at that point ?

for a Gaussian hollow sphere have you come across this in your studies ? ...

Dave

 

[NFuller]

So if I have a sphere of uniform charge distribution, the electric field at one point away from the circle would be affected by ALL individual charges distributed across the circle, right?

Yes

From the picture I drew, there would only be a net effect of E-field in the X direction because there would be equal opposing forces in the Y-direction as well as Z-direction, right?

Yes, so long as the center of the sphere and point p are both on the x axis.

If I added up all the electric fields in the X-direction at that point using Coulomb's law for each point charge on the sphere, would it also match the E-field calculated from Gauss's Law?

yes, this is a result of Newton's shell theorem https://en.wikipedia.org/wiki/Shell_theorem.