Table of Contents
- 1 What is the charge on the inner and outer surface of the conducting shell?
- 2 What is the charge on the outer surface of the outer sphere?
- 3 What is the induced charge on the inner surface of the spherical shell?
- 4 What is the total charge on the exterior of the inner sphere?
- 5 What is the value of induced charge q in induction method?
- 6 How is charge distributed on a sphere?
- 7 Why is the induced charge on a sphere non-uniform?
- 8 What is the charge distribution on the inner surface of sphere?
What is the charge on the inner and outer surface of the conducting shell?
zero
* The electric field inside the conducting shell is zero. (B) There can be no net charge inside the conductor, therefore the inner surface of the shell must carry a net charge of -Q1, and the outer surface must carry the charge +Q1 + Q2, so that the net charge on the shell equals Q2.
What is the charge on the outer surface of the outer sphere?
+1 C
Since the outer sphere has a net charge of -3 C, then +1 C gathers at the outer surface of the outer sphere.
What is the electric field outside and inside the uniform sphere of charge?
Electric Field: Sphere of Uniform Charge The electric flux is then just the electric field times the area of the spherical surface. The electric field outside the sphere (r > R)is seen to be identical to that of a point charge Q at the center of the sphere.
What is the surface charge density on the outer surface of the conducting shell?
Since the total flux through the surface is zero, the total enclosed charge is zero and therefore the charge on the inner surface must be q (to cancel the charge −q in the center). Thus the total charge on the outer surface is Q−q. The outer charge density is therefore (Q−q)/4πR2 .
What is the induced charge on the inner surface of the spherical shell?
Since the Electric field vanishes everywhere inside the volume of a good conductor, its value is zero everywhere on the Gaussian surface we have considered. So the surface integral is zero. This is the total charge induced on the inner surface.
What is the total charge on the exterior of the inner sphere?
The total charge on the exterior of the inner sphere is – 9.244 nC. The charge on the exterior side of the solid sphere induces an equal amount of charge, but with opposite sign on the inner surface of the hollow sphere. Thus, the total charge on the inside surface of the hollow sphere is 9.244 nC.
What is the total charge on the sphere?
Q
The uniform charge per unit volume ρ in the insulating sphere is its total charge (Q) divided by its total volume.
How much charge is enclosed by a sphere?
What is the total charge of the sphere? The authors approach involving taking the divergence of the electric field to get the charge density and then integrating the density over the volume of the sphere to get charged enclosed, which in their case turns out to be 0.
What is the value of induced charge q in induction method?
q=(ϕ1−ϕ2)/NR.
How is charge distributed on a sphere?
Charge on a conductor would be free to move and would end up on the surface. This charge density is uniform throughout the sphere. Charge Q is uniformly distributed throughout a sphere of radius a. That is, the electric field outside the sphere is exactly the same as if there were only a point charge Q.
What is the net charge on a conducting sphere of radius 10?
Therefore, the net charge on the sphere is 6.67 nC.
What happens when you place a negative charge inside a sphere?
When you place a negative charge − q inside a hollow conducting sphere, + q amount of charge is induced on the inner surface of the hollow sphere. This is because of the fact, in electrostatics the net electric field inside a conductor must be zero. If we consider a Gaussian surface as shown in the diagram below:
Why is the induced charge on a sphere non-uniform?
When the charge − q is placed at the centre of the sphere, the charge distribution in the inner surface of the sphere is uniform. However, when the negative charge is placed at some other internal point other than the centre of the sphere, the induced charge will be non-uniform. Why?
What is the charge distribution on the inner surface of sphere?
Even if you supply or remove charges from the outer surface by some other means, the charge distribution on the inner surface remains the same and is dependant only on the position of the negative charge − q within the sphere. Thanks for contributing an answer to Physics Stack Exchange!
What is the charge on the outer layer of a neutral conductor?
So, a charge +q placed inside the shell will induce -q charge on the inner layer (since the electric field inside the conductor has to zero) while +q charge will be induced on the outer layer to keep conductor neutral as a whole. Hope this will help. As you might know a neutral conductor contains equal number of positive and negative charges.