Electric field inside the cavity of a sphere.

In summary: The conversation discusses the behavior of a conducting sphere with a cavity inside it when placed in an electric field. The summary should mention that the net electric field inside the metal and the cavity will be zero and that any charge on the outer surface of the sphere will be induced.
  • #1
Mitadru Banik
11
0
If a conducting sphere having a cavity inside it is placed in an electric field then what will be the field inside the cavity?And is there any charge induced in the cavity?I have many doubt about it give a good discussion about it.. :confused:
 
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  • #2
Mitadru Banik said:
If a conducting sphere having a cavity inside it is placed in an electric field then what will be the field inside the cavity?
And is there any charge induced in the cavity?
I have many doubt about it give a good discussion about it.. :confused:

all such question have a single core. that is net electric field inside metal is zero. sine they have free electrons so if their will any electric field then they will move according to electric forces(valid only if electric field is not too large))
electric field inside cavity will remain zero(even if you put some charge on it).
i assume that you sphere is initially electrically neutral.
no netcharge will appear on the outer body of sphere.(it's isolated) however there will some charge in front part and same amount of opposite charge will come in other parts.
 
  • #3
Mitadru Banik said:
If a conducting sphere having a cavity inside it is placed in an electric field then what will be the field inside the cavity?And is there any charge induced in the cavity?I have many doubt about it give a good discussion about it.. :confused:

In case of static electric field, the field is zero inside the metal and it is zero inside the cavity unless some charge has been placed into the cavity. There will be induced charge distributed on the outer surface of the conducting sphere.

ehild
 

FAQ: Electric field inside the cavity of a sphere.

What is an electric field?

An electric field is a physical quantity that describes the influence that one charged object has on another charged object. It is a vector quantity, meaning it has both magnitude and direction.

What is a cavity in a sphere?

A cavity in a sphere refers to an empty space or void within the sphere. In the context of an electric field, it is the space inside the sphere that does not contain any charges.

How is the electric field inside the cavity of a sphere calculated?

The electric field inside the cavity of a sphere is calculated using the principle of superposition, which states that the total electric field at a point is the vector sum of the individual electric fields produced by all the charges present. In this case, the electric field is calculated as the sum of the electric fields due to the charges on the surface of the sphere and the charges inside the cavity.

Does the electric field inside the cavity of a sphere depend on the size of the sphere?

Yes, the electric field inside the cavity of a sphere is inversely proportional to the radius of the sphere. This means that as the size of the sphere increases, the electric field inside the cavity decreases.

What is the direction of the electric field inside the cavity of a sphere?

The direction of the electric field inside the cavity of a sphere is radial, meaning it points directly towards or away from the center of the sphere. This direction is determined by the location and magnitude of the charges present on the surface of the sphere and inside the cavity.

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