# Category:Electric Flux out of Closed Surface

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This category contains pages concerning **Electric Flux out of Closed Surface**:

### Electric Flux out of Closed Surface surrounding Point Charge

Let $q$ be a point charge.

Let $S$ be a closed surface surrounding $q$.

The total electric flux through $S$ is given by:

- $F = \dfrac q {\varepsilon_0}$

### Electric Flux out of Closed Surface surrounding Assemblage of Point Charges

Let $Q = \set {q_1, q_2, \ldots}$ be a set of point charges.

Let $S$ be a closed surface surrounding $Q$.

The total electric flux through $S$ is given by:

- $\ds F = \dfrac 1 {\varepsilon_0} \sum_Q q_i$

### Electric Flux out of Closed Surface surrounding Body with Continuous Charge Distribution

Let $B$ be a body of matter which has a continuous macroscopic charge density $\map \rho {\mathbf r}$.

Let $S$ be a closed surface surrounding $Q$.

The total electric flux through $S$ generated by the electric charge on $B$ is given by:

- $\ds F = \dfrac 1 {\varepsilon_0} \int_V \map \rho {\mathbf r} \rd \tau$

where:

- $V$ is the total volume enclosed by $S$
- $\d \tau$ is an infinitesimal volume element
- $\mathbf r$ is the position vector of $\d \tau$
- $\map \rho {\mathbf r}$ is the macroscopic charge density of the macroscopic electric field at $\mathbf r$
- $\varepsilon_0$ denotes the vacuum permittivity.

## Pages in category "Electric Flux out of Closed Surface"

The following 6 pages are in this category, out of 6 total.

### E

- Electric Flux out of Closed Surface surrounding Assemblage of Point Charges
- Electric Flux out of Closed Surface surrounding Body with Continuous Charge Distribution
- Electric Flux out of Closed Surface surrounding Point Charge
- Electric Flux out of Closed Surface surrounding Point Charge/Lemma
- Electric Flux out of Closed Surface/Examples
- Electric Flux out of Closed Surface/Examples/Sphere