Force Acting on Charge on Metal Ball: Irodov Problem 3.69

[-marko-]

A metal ball or radius R=1.5[cm] has a charge q=10e-6[C]. Find the modulus of the vector of the resultant force acting on a charge located on one half of the ball.

I found a solution on http://irodov.nm.ru/3/resh/3_69.gif but I don't understand explanations regardind to the problem so I would appreciate if anyone could explain a solution.

 

[siddharth]

You need to show your work before you get help.

Which part of the solution are you stuck in?

 

[-marko-]

The whole problem is a little bit fuzzy to me (E', Eokp, E and relations between them), so it would be very helpful if you could explain main steps in solving this problem (without doing integration, just basic steps and formulae).

Thanks.

 

[Meir Achuz]

A metal ball or radius R=1.5[cm] has a charge q=10e-6[C]. Find the modulus of the vector of the resultant force acting on a charge located on one half of the ball.

1. Find E using Gauss's law.
2. E_z=Ecos\theta=Qrcos\theta/R^3.
3. Integrate E_z\rho over the hemisphere.