Prove that electrostatic forces are conservative in nature and define electrostatic potential energy.
Prove that electrostatic forces are conservative in nature and define electrostatic potential energy.
When an external force does work in taking a charge from a point to another against a electrostatic force the work gets stored as potential energy of the charge and when the external force is removed the charge moves gaining kinetic energy and losing an equal amount of potential energy. The sum of kinetic and potential energies is thus conserved and hence electrostatic forces are conservative in nature.
Definition of electrostatic potential energy : "The work done in a direction, opposing the electric field in bringing a unit positive charge with constant speed from an infinite position to any point in the electric field is called the static electric potential energy at that particular point".
Similar Questions
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The electrostatic potential $V$ at a point on the circumference of a thin non-conducting disk of radius $r$ and uniform charge density $\sigma$ is given by equation $V = 4 \sigma r$. Which of the following expression correctly represents electrostatic energy stored in the electric field of a similar charged disk of radius $R$?
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Distinguish difference between electric potential and electric potential energy
${\rm{ }}1\,ne\,V{\rm{ }} = {\rm{ }}......\,J.$ (Fill in the gap)
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A particle of mass $m$ and charge $q$ is kept at the top of a fixed frictionless sphere. $A$ uniform horizontal electric field $E$ is switched on. The particle looses contact with the sphere, when the line joining the center of the sphere and the particle makes an angle $45^o$ with the vertical. The ratio $\frac{qE}{mg}$ is :-
A particle of mass $m$ and charge $q$ is kept at the top of a fixed frictionless sphere. $A$ uniform horizontal electric field $E$ is switched on. The particle looses contact with the sphere, when the line joining the center of the sphere and the particle makes an angle $45^o$ with the vertical. The ratio $\frac{qE}{mg}$ is :-