Electric flux linked with spherical shell having a hole?

In summary, the electric flux linked with a spherical shell having a hole and a charge outside of the shell is not necessarily zero. It depends on the specific physical properties of the shell and the position of the charge. Flux is not contained within a volume, but rather passes through an area, similar to a current. If there is a hole in the surface, the flux can be anything. A point charge placed on a table with a half of a hollow sphere on top would result in zero net flux, but placing the charge directly below the surface would result in nonzero flux.
  • #1
Hardik Batra
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How much electric flux linked with the spherical shell having a hole?(consider the charge is outside the shell)

I knew the flux linked with spherical shell is zero.(because it is closed loop.)
 
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  • #2
What do you mean by "linked"?
What sort of spherical shell - what are it's physical properties?

Usually flux is through an area rather than linked to an object.

The electric field inside a closed conducting shell is zero. Are you asking if there is an electric field inside a conducting shell that is not closed?
The answer is "it depends".
 
  • #3
If we take spherical shell and a point charge is outside the shell.
Now the flux is passing through the shell.
But the total flux is zero because the no. of field lines entering from one side is equals to the no. field leaving at the other end.

So the entering flux is consider negative and leaving flux is consider positive then total flux is zero.

Now you take spherical shell having a hole and charge is outside.
So in this case,
can flux be zero or not?
 
  • #4
If you do not answer questions, I cannot help you.

Note - flux in = flux out does not mean the total flux is zero.
Flux is not something that is contained in a volume, it is something that passes through an area - like a current.
When a river flows under a bridge, the current (flux of water) entering the bridge's shadow is the same as the current leaving the bridge's shadow, but that does not mean there is no current inside the bridge's shadow.

I suspect you need to review your notes about what electric flux is and how it is related to the electric field.
 
  • #5
If there is a hole in the surface, then the flux can be anything.

If you slice a hollow sphere in half and put one of the halves face down on a table, then a point charge placed on the same table would result in zero net flux through that surface. If you put the point charge directly below the surface, that would result in a nonzero flux.
 
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FAQ: Electric flux linked with spherical shell having a hole?

1. What is electric flux linked with a spherical shell having a hole?

The electric flux linked with a spherical shell having a hole is the measure of the total electric field passing through the surface of the shell. It takes into account both the magnitude and direction of the electric field.

2. How is the electric flux linked with a spherical shell having a hole calculated?

The electric flux is calculated by taking the dot product of the electric field and the area vector of the surface. For a spherical shell with a hole, the electric flux can be found by integrating the electric field over the entire surface of the shell.

3. Does the presence of a hole affect the electric flux linked with a spherical shell?

Yes, the presence of a hole does affect the electric flux linked with a spherical shell. The electric flux will be reduced by the amount of flux that would have passed through the hole if it were not there.

4. How is the electric flux linked with a spherical shell having a hole affected by the size of the hole?

The electric flux linked with a spherical shell having a hole is directly proportional to the size of the hole. As the size of the hole increases, the amount of electric flux passing through the surface of the shell decreases.

5. Can the electric flux linked with a spherical shell having a hole be negative?

Yes, the electric flux linked with a spherical shell having a hole can be negative if the electric field is directed inward towards the center of the shell. This indicates a net decrease in the amount of electric field passing through the surface of the shell.

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