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`Electric Field of a Spherical ShellβElectric Field of Two Spherical shellsβUniformed Charged Solid SphereβSource and Reference`

# Electric Field of a Spherical Shell

The electric field πΈ has same symmetries as the sphere. And far away, looks like a point charge. In other words, the form of electric field must have the form similarly. ```πΈ=14ππ0π|π|2π for π>π πΈ=0 for π<π ```

## Electric Field of Two Spherical shells

The electric field πΈ of two concentric spherical shell of the same charges π. ```πΈ=14ππ02π|π|2π for π>b πΈ=14ππ0π|π|2π for b>π>a πΈ=0 for π<a ```

## Uniformed Charged Solid Sphere

The uniformly charged solid sphere of radius π is ```Total Charge: π; Total Volume: π=43ππ3 Charge per unit volume=π(4/3)ππ3 ``` The charged partial solid sphere of radius π is ```Total Charge: βπ; Total Volume: βπ=43ππ3 Charge per unit volume=βπ(4/3)ππ3``` If uniform distributed charge `π(4/3)ππ3=βπ(4/3)ππ3ββπ=ππ3π3` The outside electric field of partial solid sphere of radius π can be expressed as ```πΈπ=14ππ0βππ2π πΈ(π)=14ππ0ππ3π3π2βπ=π4ππ0ππ3π for π<π ```

## Source and Reference

ID: 191102502 Last Updated: 11/25/2019 Revision: 0

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