Why is the electric field inside a conductor zero?

In summary, Gauss's law mathematically proves that for symmetrical conductors, such as a sphere or cylinder, the electric field is zero due to the uniform distribution of charges. However, for non-symmetrical conductors, the electric field is not zero. In the case of electrostatics, the field within a conductor is zero because any existing field would cause the free charges to move until it was canceled out.
  • #1
Arup Biswas
34
2
It can be mathematically shown by Gauss's law that it is true but physically how? In case of a symmetrical conductor(Eg Sphere,Cyllinder) there are charges uniformly distributed and field of one charge cancels out the opposite charge's field! But which are not symmetrical, for them what makes the electric field zero?
 
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  • #2
Note that the field within a conductor is zero for the electrostatic case. If there were a field within the conductor, the free charges would move until the field was canceled out.
 
  • #3
Doc Al said:
Note that the field within a conductor is zero for the electrostatic case. If there were a field within the conductor, the free charges would move until the field was canceled out.
Thought a lot about it...and got it [emoji5] thanks mate
 

1. Why is the electric field inside a conductor zero?

The electric field inside a conductor is zero because of the principle of electrostatic shielding. This states that any excess charge on a conductor will distribute itself evenly on the surface, creating an electric field outside the conductor but canceling out any field inside.

2. How does the presence of free electrons affect the electric field inside a conductor?

The presence of free electrons in a conductor allows for the easy flow of electric current. However, these free electrons also repel each other, creating an evenly distributed charge on the surface of the conductor and canceling out any electric field inside.

3. Can the electric field inside a conductor ever be non-zero?

In certain situations, such as when an external electric field is applied, the electric field inside a conductor may not be zero. However, this is only a temporary effect and once the external field is removed, the charges inside the conductor will redistribute themselves to create a zero electric field inside.

4. Why is the electric field inside a conductor important?

The electric field inside a conductor is important because it helps to maintain electrical neutrality and stability. Without a zero electric field, there would be an imbalance of charges inside the conductor, leading to electric discharge and potential damage to the conductor.

5. Does the shape or size of a conductor affect the electric field inside?

The shape and size of a conductor do not affect the electric field inside, as long as the conductor is a perfect conductor (meaning it has no resistance). This is because the charges on the surface will always redistribute themselves to create a zero electric field inside, regardless of the shape or size of the conductor.

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