# Electric Field in Cavity of Conductor: Explained

• shinobi12
In summary, the electric field in the cavity of a conductor is the distribution of electric charges within the cavity, which can be equal and opposite to an external field. This affects the charges inside by causing them to redistribute themselves, demonstrating the principle of superposition and the shielding abilities of conductors. The shape of the cavity can also affect the electric field, and it can be manipulated by changing the shape, size, or materials inside.
shinobi12

## Homework Statement

Show the electric field inside an empty cavity in a conductor is zero, even if there is a charge outside the conductor. If a charge is placed inside the cavity, will there be an electric field outside the conductor. Explain Clearly. Assume that both the conductor and cavity are arbitrary of both shape and size

## The Attempt at a Solution

Hi shinobi,

As per PF rules, you are required to show some attempt at the problem before we help you.

Hint: Think Gauss' Law

## 1. What is an electric field in the cavity of a conductor?

The electric field in the cavity of a conductor refers to the distribution of electric charges within the cavity. When a conductor is placed in an external electric field, the charges in the conductor rearrange themselves to create an electric field that is equal and opposite to the external field within the cavity.

## 2. How does the electric field in the cavity of a conductor affect the charges inside?

The electric field in the cavity of a conductor affects the charges by causing them to redistribute themselves in a way that cancels out the external field. This redistribution of charges creates a new electric field within the cavity that is equal and opposite to the external field.

## 3. What is the significance of the electric field in the cavity of a conductor?

The electric field in the cavity of a conductor is significant because it demonstrates the principle of superposition, which states that the total electric field at any point is the sum of the individual fields from all the charges present. It also shows how conductors can shield the inside from external electric fields.

## 4. How does the shape of the cavity affect the electric field in a conductor?

The shape of the cavity can affect the electric field in a conductor by changing the distribution of charges within the cavity. For example, a spherical cavity will have a more uniform electric field compared to a cylindrical cavity, where the field will be stronger near the edges.

## 5. Can the electric field in the cavity of a conductor be manipulated?

Yes, the electric field in the cavity of a conductor can be manipulated by changing the shape or size of the cavity, or by introducing different materials inside the cavity. This can affect the distribution of charges and therefore alter the strength and direction of the electric field within the cavity.

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