What is the angle between electric field and area vector in a Gaussian surface?

What is the angle between the area of vector and electric field?

If the electric field is uniform, the electric flux passing through a surface of vector area S is ΦE=E⋅S=EScosθ Φ E = E ⋅ S = ES cos ⁡ where E is the magnitude of the electric field (having units of V/m), S is the area of the surface, and θ is the angle between the electric field lines and the normal ( perpendicular ) …

What is the electric field direction in A spherical Gaussian surface?

Gaussian surface and flux calculations

The electric field at any point of the spherical Gaussian surface for a spherically symmetrical charge distribution is parallel to the area element vector at that point, giving flux as the product of the magnitude of electric field and the value of the area.

Is electric field zero inside a Gaussian surface?

Gauss’s Law shows that the electric field everywhere inside a spherical shell of uniform charge density is 0.

Why the potential inside a Gaussian surface is zero?

A Gaussian surface completely within the conductor. Since E must be zero inside conductor, the net flux through this surface must be zero.

What is the use Gaussian surface?

Gaussian surface is an enclosed surface in a three dimensional space through which the flux of a vector field is calculated (gravitational field, the electric field, or magnetic field.) Gaussian surface helps evaluate the electric field intensity due to symmetric charge distribution.

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What is the formula of surface density?

It is calculated as the charge per unit surface area. If q is the charge and A is the area of the surface, then the surface charge density is given by; σ=qA, The SI unit of surface charge density is Cm–2.

What are the necessary conditions of Gaussian surface?

A gaussian surface must exist where the electric field is either parallel or perpendicular to the surface vector. This makes the cosines in all the dot products equal to simply zero or one. The electric field that passes through the parts of the gaussian surface where the flux is non-zero has a constant magnitude.