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Potential Energy of dipole in external field

Question

A short electric dipole has a dipole moment 15×108 Cm. A point charge of 10 μC is placed at a distance of 10 cm on the dipole axis from the centre of the dipole. Then potential energy stored on the charge-dipole system is 

Moderate
Solution

Potential at the point due to the dipole, V=14π0pr2=9×109×15×10-8(0.1)2 volt

                                                                                      =135×103 volt

 Electro static potential energy stored in the system =VQ=135×103×10×106 J=1.35  J



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