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A point charge of Q coulombs is located at origin, if no other chrage is present what is the value of divergence of electric flux density at any point other than origin?ans.Q/[(4/3)Ɛπr2]Q/(4πr2)0Q Previous Marked for Review Next

Question

A point charge of Q coulombs is located at origin, if no other chrage is present what is the value of divergence of electric flux density at any point other than origin?ans.Q/[(4/3)Ɛπr2]Q/(4πr2)0Q Previous Marked for Review Next

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Solution

The divergence of electric flux density (also known as electric field) at any point in space due to a point charge is given by Gauss's law. According to Gauss's law, the divergence of electric field E in a region of space is given by the charge density ρ divided by the permittivity of free space ε₀.

Mathematically, this is expressed as ∇ • E = ρ / ε₀.

In the case of a point charge Q located at the origin, the charge density ρ is zero at any point other than the origin because the charge is concentrated at the origin. Therefore, the divergence of the electric field at any point other than the origin is zero.

So, the answer to your question is 0.

This problem has been solved

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