Electric Potential Energy Assignment Help

Assignment Help: >> Electrostatics >> Electric Potential Energy

Potential energy of a charge: Work done in bringing the given charge fro infinity to a point in the electric field is known as potential energy of the charge. Potential may also be defined as potential energy each unit charge. i.e. V = W/Q =U/Q.

Potential energy of a system of two charges: Since work done in bringing charge Q2 from  to point B is W = Q2VB, where VB is potential

of point B due to charge Q1 i.e. VB = 1/4πεoQ1/r

So,  W = U2 = (1/4πεo)Q1Q2/r   

1038_Electric Potential Energy.png

This is the potential energy of charge Q2, similarly potential energy of charge Q1 will be

U1 = (1/4πεo)Q1Q2/r   

Hence potential energy of Q1 = Potential energy of Q2 = potential energy of system

           U = KQ1Q2/r 

Potential energy of a system of n charges: In a system of n charges electric potential energy is calculated for each pair and then all energies so obtained are added algebraically. i.e.U = 1/4πεo[Q1Q2/r12 + Q2Q3/r23 +.....] and in case of continuous distribution of charge.

As dU = dQV 

e.g. Electric potential energy for a system of three charges

Potential energy = 1/4πεo[Q1Q2/r12 + Q2Q3/r23 +.....]

While potential energy of any of the charge say Q1 is 1/4πεo[Q1Q2/r12 + Q3Q1/r31 +.....]

1658_Electric Potential Energy1.png

Electron volt (eV): It is the smallest practical unit of energy used in atomic and nuclear physics. As electron volt is described as "the energy acquired by a particle having one quantum of charge 1e when accelerated by volt" i.e.

Energy acquired by a charged particle in eV when it is accelerated by V volt is E = (charge in quanta) ? (p.d. in volt)

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