Simple Electrostatic problem with conductor

In summary: This ensures that the electric field within the conducting shell remains zero, regardless of the distribution of external charges. In summary, the distribution of charges on the surface of the conducting shell will be opposite to the charge at the center, with no net charge on the shell itself.
  • #1
bobca117
5
0
Hi Friends,

I was thinking of having a either a point charge or some amount of charge at the center(let us say positive charge) and having a hollow concentric sphere( a conductor) around it. Now, there will be induced charge on the inside of hollow sphere and accordingly opposite charge on the outside still inside E is zero within hollow sphere. Suppose I enclose this with another concentric sphere(which is an insulator) and having the same charge(that is positive for the case discussed) as at the center. I was wondering how the electrons inside the hollow spherical conductor which is in between this two, will distribute. E should be zero. But with enclosed positive charge side on both sides, how the conductor can distribute electrons and still not show up any positive charge inside and have E zero?

Thanks in advance.
Bob
 
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  • #2
Assuming electrostatic equilibrium, the field within the conducting material of the shell will be zero, regardless of the distribution of external charges.

Also realize that the charge from the outer insulating shell, assuming it is distributed uniformly, produces no electric field within itself.
 
  • #3
the distribution of charges on the surface of shell in the middle...

Hi Doc Al,

My question is what will be the distribution of charges on the surface of the shell in between. Let us say a point positive charge Q1 at the center. And outside concentric insulating shell has a postive surface charge density of sigma. Now what will be charge distribution on the inside and outside surfces of concentric conducting shell in between?


Thanks.
Bob
 
  • #4
Assuming no net charge on the conducting shell, its inner surface will have a charge of -Q1 uniformly distributed and its outer surface will have a charge of +Q1 uniformly distributed.
 

What is a conductor?

A conductor is a material that allows electricity to flow freely through it. This is because it has a large number of free electrons that can easily move in response to an electric field.

What is an electrostatic problem?

An electrostatic problem is a situation where there is a build-up of static electric charges on a conductor or between two conductors. This can occur due to friction, induction, or contact with another charged object.

How do you solve a simple electrostatic problem with a conductor?

To solve a simple electrostatic problem with a conductor, you can use the basic principles of electrostatics, such as Coulomb's law and the electric field equation. You will also need to consider the geometry and material properties of the conductor to determine the distribution of charge and the resulting electric fields.

Why is it important to solve electrostatic problems with conductors?

Solving electrostatic problems with conductors is important because it helps us understand and predict the behavior of electric charges and fields in real-world situations. This knowledge is crucial in the design and functioning of many electronic devices and systems.

What are some common applications of electrostatic problems with conductors?

Some common applications of electrostatic problems with conductors include designing and analyzing circuits, calculating the capacitance of a capacitor, and predicting the behavior of lightning strikes. It is also used in industries such as power generation, telecommunications, and electronics.

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