Question

Determine the electric flux through a gaussian surface that contains 100 million electrons

Answer 1

The electric flux through a gaussian surface will be 1.8 Nm²/C

Explanation :

From Guass law, we know that the flux through a guassian surface containing charge q is given by,

Ф = q/ε₀

where,

ε₀ = permittivity of free space = 8.85 x 10⁻¹²

charge of one electron = 1.6 x 10⁻¹⁹ coulomb

=> charge of 100 million electron = 100 x 10⁶ x 1.6 x 10⁻¹⁹

=> charge contained in the surface = 1.6 x 10⁻¹¹ C

Hence flux,

Ф = (1.6 x 10⁻¹¹ )/(8.85 x 10⁻¹²)

=> Ф = 1.8 Nm²/C

Hence the electric flux through a gaussian surface will be 1.8 Nm²/C

Answer 2

Answer:

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