Force Acting on Charge on Metal Ball: Irodov Problem 3.69

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Homework Help Overview

The discussion revolves around a problem involving electrostatics, specifically the forces acting on a charge placed on a metal ball with a given radius and charge. Participants are seeking clarification on the concepts and steps necessary to analyze the resultant force on the charge.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand the application of Gauss's law and the relationships between electric fields in the context of the problem. Questions are raised about specific terms and concepts such as E', Eokp, and their interrelations.

Discussion Status

Some participants have provided initial steps and suggestions for approaching the problem, while others express confusion about the underlying principles and seek further explanation. There is an ongoing exploration of the problem without a clear consensus on the solution.

Contextual Notes

Participants note the need to show their work to receive assistance, indicating a focus on understanding the problem-solving process rather than simply obtaining answers. The original poster expresses difficulty with the explanations found in external resources.

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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.
 
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You need to show your work before you get help.

Which part of the solution are you stuck in?
 
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.
 
-marko- said:
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.
 
Last edited:

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