How Does Coulomb's Law Apply to Non-Point Charged Particles?

AI Thread Summary
Coulomb's Law can be applied to non-point charged particles by integrating the electrostatic interaction over the entire shape of the particles. For spherical charged particles, the point charge formulas can be used as if the charge is concentrated at the center. However, for other shapes, the calculations become more complex and require specific integration techniques. Understanding these principles typically necessitates knowledge of 3D calculus. The discussion emphasizes the importance of adapting the point charge model based on the geometry of the charged objects.
mather
Messages
146
Reaction score
0
hello!

which equation descripts the electrostatic interaction between two non-point (ie. that have dimensions) charged particles?

thanks!
 
Physics news on Phys.org
That would be different for every shape! Start with the formula for point charges and integrate over all the infinitesimal charges in the shape. Spheres work out nicely; other shapes do not.
 
Yeah, i want for spheres only, forgot to mention
 
For spheres, just use the point charge formulas - as if the entire charge was located at the center point. Make a note that you need to work that out for yourself once you take 3D calculus.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top