# Electric field due to non uniformly charged spherical shell

• lavesh
In summary, an electric field due to a non-uniformly charged spherical shell is a force field that surrounds the shell and exerts a force on other charged particles within its range. The electric field is calculated using the equation E = kQ/r^2 for points outside the shell, but is zero for points inside. As you move closer to the center of the shell, the electric field decreases and can be negative for points inside. The difference between a non-uniformly charged spherical shell and a uniformly charged spherical shell is that the former has a varying charge density, resulting in a non-constant electric field.
lavesh
The volume charge density of spherical shell varies as ρ=-kr.If we have to calculate electric filed using gauss's law, can we treat as E. dA as E(dA) as there is azimuthal symmitry

## The Attempt at a Solution

You want to integrate over the volume of the sphere to find the total charge enclosed. Then from there it's simple to find the electric field using Gauss's law.

## What is an electric field due to a non-uniformly charged spherical shell?

An electric field is a force field that surrounds a charged object and exerts a force on other charged particles within its range. In the case of a non-uniformly charged spherical shell, the electric field is not constant throughout the shell and varies depending on the distance from the center of the shell.

## How is the electric field calculated for a non-uniformly charged spherical shell?

The electric field at any point outside of the shell is calculated using the equation E = kQ/r^2, where k is the Coulomb's constant, Q is the total charge on the shell, and r is the distance from the center of the shell to the point. However, for points inside the shell, the electric field is zero.

## What happens to the electric field as you move closer to the center of a non-uniformly charged spherical shell?

As you move closer to the center of the shell, the electric field decreases. This is because the distance between the point and the charged particles on the shell decreases, resulting in a smaller force being exerted on the point by the charged particles.

## Can the electric field be negative for a non-uniformly charged spherical shell?

Yes, the electric field can be negative for points inside the shell. This means that the force exerted on a charged particle at that point will be in the opposite direction of the electric field, towards the center of the shell.

## What is the difference between a non-uniformly charged spherical shell and a uniformly charged spherical shell?

A uniformly charged spherical shell has a constant charge density throughout the shell, resulting in a constant electric field at all points outside the shell. On the other hand, a non-uniformly charged spherical shell has a varying charge density, resulting in a non-constant electric field at different points outside the shell.

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