Electric Field inside the spherical shell

In summary, if there is charge present on a spherical shell, the electric field inside the shell will be zero. If the shell has no charge on the outside but has charge inside, the electric field inside and outside the shell will be non-zero. If the shell is a conductor and hollow, the distribution of the charge will be evenly spread out. According to Gauss' law, the flux through a gaussian surface is equal to the net charge enclosed divided by the permittivity of free space, which tells us that the electric field inside the shell will be directly proportional to the amount of charge enclosed.
  • #1
Hardik Batra
130
5
As we know there are charge on spherical shell then electrical field inside the shell will be zero.

1) If there is no charge on the spherical shell, but has charge inside the shell then what is the electric field inside and outside the shell?

2) If there is charge on the spherical shell and also have charge inside the shell then what is the electric field inside and outside the shell?
 
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  • #2
Hardik Batra said:
As we know there are charge on spherical shell then electrical field inside the shell will be zero.

1) If there is no charge on the spherical shell, but has charge inside the shell then what is the electric field inside and outside the shell?

2) If there is charge on the spherical shell and also have charge inside the shell then what is the electric field inside and outside the shell?

Is this spherical shell a conductor and is it hollow or solid?

Do you have a textbook that covers Gauss' law?
 
  • #3
BOAS said:
Is this spherical shell a conductor and is it hollow or solid?

It's conductor and it is hollow.
 
  • #4
What can you say about the distribution of the charge?

Gauss' law states that the flux through a gaussian surface is the net charge enclosed, over the permittivity of free space, what does that tell you about the field inside the sphere?
 
  • #5


1) If there is no charge on the spherical shell, but there is charge inside the shell, the electric field inside the shell will not be zero. The electric field inside the shell will depend on the distribution of charge inside the shell. If the charge is uniformly distributed, the electric field inside the shell will also be uniform. However, if the charge is not uniformly distributed, the electric field inside the shell will vary at different points. The electric field outside the shell will also be affected by the charge inside, but it will also depend on the distance from the shell and the distribution of charge on the shell.

2) If there is charge on the spherical shell and also charge inside the shell, the electric field inside and outside the shell will be affected by both the charges. The electric field inside the shell will depend on the distribution of charge inside and outside the shell. If the charges are of opposite sign, the electric field inside the shell may be reduced or even become zero at certain points due to cancellation of the fields from the two charges. The electric field outside the shell will also be affected by the charges inside, but it will also depend on the distance from the shell and the distribution of charge on the shell. In this case, the electric field outside the shell may be stronger or weaker depending on the distribution of charges.
 

What is an electric field inside a spherical shell?

The electric field inside a spherical shell is the force per unit charge that a test charge would experience if placed inside the shell. It is affected by the distribution of charges on the shell's surface.

How is the electric field inside a spherical shell calculated?

The electric field inside a spherical shell can be calculated using Coulomb's law, which states that the magnitude of the electric field is proportional to the product of the charges and inversely proportional to the square of the distance between them.

What is the direction of the electric field inside a spherical shell?

The direction of the electric field inside a spherical shell is dependent on the charge distribution on the surface of the shell. If the charges are uniformly distributed, the electric field will be zero inside the shell. If there is a net positive or negative charge on the surface, the electric field will point towards or away from the center of the shell, respectively.

How does the electric field inside a spherical shell compare to that outside the shell?

The electric field inside a spherical shell is different from that outside the shell. Inside the shell, the electric field is dependent on the charge distribution on the surface, while outside the shell it is dependent on the total charge of the shell. Additionally, the electric field inside the shell is zero if the charges are uniformly distributed, while outside the shell it follows the inverse square law.

Can the electric field inside a spherical shell be modified?

Yes, the electric field inside a spherical shell can be modified by changing the charge distribution on the surface of the shell. This can be done by adding or removing charges or by rearranging the distribution of charges. Additionally, the electric field inside the shell can also be modified by placing other charges or conductors near the shell.

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