**Electric Flux**

dφ=

**E**.

**da**

**da**is the area vector to the surface and it is taken +ve along the outward normal to the surface

dφ=Edacosθ

φ=∫

**E**.

**da**

For closed surface

φ=∫

**E**.

**da**

**Guass Theorem**

Flux in closed surface is equal net charge inside divided by ε

∫

**E**.

**da**=q

_{in}/ε

**Some points:**

a.

**E**is the electric field present due to all charges in the ssystem not just the charge inside

b.Flux crossing a closed surface does not depend on the shapes and size of gaussian surface

**Electric Potential energy of a charge**

=qV where V is the potential there

**Others important things**

1. ∫

**E**.

**dl**over closed path is zero

2.Electric potential in the spherical charge conductor is Q/4πεR where R is the radius of the shell and the potential is same everywhere in the conductor

3 Conductor surface is a equipotential surface

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