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# In Gauss’s Law, To What Does Qencl Refer?

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## What is Gauss's law?

According to Gauss’s law, the flux of the electric field E → through any closed surface, also called a Gaussian surface, is equal to the net charge enclosed ( q e n c) divided by the permittivity of free space ( ϵ 0): (6.3.4) Φ C l o s e d S u r f a c e = q e n c ϵ 0.

## How do you interpret Gauss’ law in differential form?

Thus, we have Gauss’ Law in differential form: To interpret this equation, recall that divergence is simply the flux (in this case, electric flux) per unit volume. Gauss’ Law in differential form (Equation 5.7.3) says that the electric flux per unit volume originating from a point in space is equal to the volume charge density at that point.

## How do you find the flux through a surface from Gauss's law?

From Gauss’s law, the flux through each surface is given by q enc / ε 0, where q enc is the charge enclosed by that surface. Φ = 4.0 μ C + 6.0 μ C − 10.0 μ C ε 0 = 0. Φ = 4.0 μ C + 6.0 μ C − 10.0 μ C ε 0 = 0.

## What is the Gaussian surface?

However, q enc is just the charge inside the Gaussian surface. Finally, the Gaussian surface is any closed surface in space. That surface can coincide with the actual surface of a conductor, or it can be an imaginary geometric surface. The only requirement imposed on a Gaussian surface is that it be closed ( Figure 6.18 ).

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