Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 12
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# P the Energy Density in the Electric Field Created by a Point Charge Falls off with the Distance from the Point Charge as - Physics

ConceptEnergy Stored in a Capacitor

#### Question

The energy density in the electric field created by a point charge falls off with the distance from the point charge as

• 1/r

• 1/r^2

• 1/r^3

• 1/r^4

#### Solution

1/r^4

Energy density U is given by U = 1/2∈_0E^2.......(1)

The electric field created by a point charge at a distance r is given by E = q/(4pi∈_0r^2)

On putting the above form of E in eq. 1, we get

U = 1/2 ∈_0(q/(4pi∈_0r_2))^2

Thus, U is directly proportional to 1/r^4

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Solution P the Energy Density in the Electric Field Created by a Point Charge Falls off with the Distance from the Point Charge as Concept: Energy Stored in a Capacitor.
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