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Question

# At distance ′r′ from a point charge, the ratio uv2 (where ′u′ is energy density and ′v′ is electrostatic potential) is best represented by:

A
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C
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D
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Solution

## The correct option is B Let Q be charge, Here energy density at a point ′r′ m away from charge is u=12ϵ0E2=12ϵ0K2Q22r2 Potential at a point ′r′ m away from charge is v=KQr uv2=12ϵ0K2Q2r4K2Q2r2=12ϵ0r2 ∴uv2∝1r2 so the correct option is B. Why this Question? Energy density is the computation of the amount of energy that can be stored in a given system. So, the more the energy density of a system, the greater will be the amount of energy stored in it.

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