Breaking & building a charged hollow sphere

AI Thread Summary
A charged hollow sphere with surface charge density σ and radius R, when cut into two hemispheres, experiences repulsion due to equal charges on each half. The discussion focuses on calculating the force required to realign the hemispheres back into a sphere after they have been separated. Participants explore the concept of treating the hemispheres as point charges to apply Coulomb's law for determining the repulsive force. The approach involves analyzing the force of repulsion from each infinitesimal ring that makes up the hemispheres. Understanding the charge distribution and its effects is crucial for solving the problem.
xxhizors
Messages
6
Reaction score
0
A charged hollow sphere with surface charge density \sigma & radius R is cut into two hemispheres...certainly the hemispheres with equal charges on them would repel each other...Now a force is applied on both the hemispheres to align them again as the original sphere..i shall be highly thankful if u could assist me finding that force applied on each hemisphere...its not a homework assignment...just a question i saw in a book...!
 
Physics news on Phys.org
xxhizors said:
A charged hollow sphere with surface charge density \sigma & radius R is cut into two hemispheres...certainly the hemispheres with equal charges on them would repel each other...Now a force is applied on both the hemispheres to align them again as the original sphere..i shall be highly thankful if u could assist me finding that force applied on each hemisphere...its not a homework assignment...just a question i saw in a book...!

Welcome to the PF.

Interesting problem. If they were point charges, what would be the repulsive force as a function of separation discance? Once the two hemispheres are no longer in contact, what will the (formerly uniform) charge distribution be?
 
How can we consider them as point charges in this problem...??
The repulsive force between the point charges can be calculated from coulomb's law...
I thought this about approaching this problem..

let us take a hemisphere & we try to build another on it and see the force of repulsion due to each infinitely small ring constituting the upper hemisphere on the lower one...
i can consider hemisphere to be build from infinite rings...
 

Thread 'Errors and significant figures'

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...
View full post »
Thread 'A cylinder connected to a hanging mass'

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...
View full post »

Similar threads

Induced charge on a conducting sphere sliced by a plane
Replies
2
Views
1K
Investigating the Charge Distribution on a Bulging Sphere
Replies
18
Views
2K
Electric field external to Conducting Hollow Sphere with charge inside
Replies
23
Views
3K
Find the maximum KE of a charged Disc
Replies
1
Views
2K
Point charge with very thin metal sheet along a spherical surface
Replies
21
Views
2K
Please explain this suggested solution for the field inside a charged hollow sphere
Replies
17
Views
1K
Charge rearrangement on conducting spheres
Replies
21
Views
4K
Understanding the electric field of a sphere with a hole
Replies
12
Views
7K
Pressure versus stress in uniformly charged sphere
Replies
11
Views
1K
Calculating Electric Field at the Center of a Hemispherical Shell of Charge
Replies
5
Views
3K

Hot Threads

Recent Insights

Back
Top