Electric Potential due to a charged conductor(sphere within a sphere)

In summary, the question asks how much charge settles on each of two concentric spherical conducting shells connected by a thin wire. The attempt at a solution involves equating the electric potentials of the two spheres and considering how like charges repel each other. The conclusion is that the charge will sit on the surface of both spheres, with the larger sphere having a larger charge due to its larger radius.
  • #1
maiad
102
0
Homework Statement
Two concentric spherical conducting shells of radii a = 0.360 m and b = 0.540 m are connected by a thin wire, as shown in the figure below.

http://capa.physics.mcmaster.ca/figures/sb/Graph25/sb-pic2550.png If a total charge Q = 10.6 µC is placed on the system, how much charge settles on each sphere?

The Attempt at a Solution


I attempted to equate the two sphere's electric potential since it's in electrostatic equilibrium. i Then knew the net charge of the system and the twos sphere's respective radiis. What's confusing me is doe the inner sphere affect the charge of the outer sphere? if it does how so.
 
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  • #2
Think about where the charge in a solid ball sits.
 
  • #3
It should sit on the surface of the sphere so... so in inner shell should have it's own charge and I am guessing the larger sphere's charge is it's own charge and the small sphere?
 
  • #4
But the two spheres are connected by a conducting wire.

What do like charges do to each other?
 
  • #5
If you have a solid ball of charge and all the charge sits on the surface, then you remove almost all of the insides of that ball and leave only what you have in your diagram, would any charge move to the inside?
 
  • #6
so why doesn't charges reside on the surface of the inner sphere?
 
  • #7
Again what do like charges do? They get as far apart as they can - they repel. Where can they move so they are the farthest apart?
 
  • #8
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Related to Electric Potential due to a charged conductor(sphere within a sphere)

1. What is the formula for calculating electric potential due to a charged conductor?

The formula for calculating electric potential due to a charged conductor is V = kQ/r, where V is the electric potential, k is the Coulomb constant (9x10^9 N*m^2/C^2), Q is the charge of the conductor, and r is the distance from the center of the conductor.

2. How does the electric potential change as the distance from the charged conductor increases?

As the distance from the charged conductor increases, the electric potential decreases. This is because the electric potential is inversely proportional to the distance from the conductor, according to the V = kQ/r formula.

3. Can the electric potential due to a charged conductor be negative?

Yes, the electric potential due to a charged conductor can be negative. This occurs when the charge on the conductor is negative, resulting in a negative value for V in the V = kQ/r formula.

4. How does the shape and size of the charged conductor affect the electric potential?

The shape and size of the charged conductor do not affect the electric potential as long as the charge and distance from the center remain constant. The formula for electric potential only takes into account the charge and distance, not the shape or size of the conductor.

5. Can the electric potential due to a charged conductor be affected by other nearby charges?

Yes, the electric potential due to a charged conductor can be affected by other nearby charges. This is because the electric potential is a result of the interaction between charges, and the presence of other charges can alter the electric field and therefore the electric potential at a certain point.

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