Electric flux linked with spherical shell having a hole?

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Discussion Overview

The discussion revolves around the concept of electric flux in relation to a spherical shell with a hole, particularly when a charge is placed outside the shell. Participants explore the implications of having a hole in the shell and how it affects the electric flux, considering both theoretical and conceptual aspects.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant asserts that the electric flux linked with a closed spherical shell is zero when a charge is outside the shell.
  • Another participant questions the term "linked" and clarifies that electric flux is typically associated with an area rather than an object, suggesting that the situation may depend on the physical properties of the shell.
  • A participant explains that while the total flux through a closed shell is zero due to equal field lines entering and leaving, the presence of a hole complicates this scenario and raises questions about whether the flux can still be zero.
  • One participant emphasizes that having a hole means the flux can vary, providing an analogy with a river's current to illustrate that equal entering and leaving flux does not imply zero flux through an area.
  • Another participant discusses specific scenarios involving a point charge and the resulting flux through a half-sphere, indicating that the position of the charge relative to the surface affects the net flux.

Areas of Agreement / Disagreement

Participants express differing views on the nature of electric flux in relation to the spherical shell with a hole. There is no consensus on whether the flux can be considered zero or not, and the discussion remains unresolved regarding the implications of the hole in the shell.

Contextual Notes

Participants note that the definitions and understanding of electric flux may vary, and the discussion highlights the need for clarity regarding the physical properties of the shell and the conditions under which the flux is evaluated.

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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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".
 
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?
 
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.
 
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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