1.

A small electric dipole having dipole moment vec p is placed along x-axis as shown in the figure . A semi-infinite uniformly charged di-electric thin rod is placed along x axis , with one end coinciding with origin . If linear charge density of rod is + lambda and distance of dipole from rod is a then calculate the electric force acting on dipole .

Answer»


SOLUTION :Field at `P` due to elemental length is
`dE = (K lambdadx)/(x^2)`
`E = int dE = K LAMBDA int _a^(infty) = (K lambda)/a = 1/(4 pi in_0) (lqambda)/a`
` (##NG_PHY_C01_E01_113_S01.png" width="80%">
POTENTIAL energy of dipole `U =- Pe COS theta`
`U = - ( p lambda) /( 4 pi in_0 a)`
`F= - (dU)/(da) rArr F= ( lambda )/(4pi in_0 a^2)`.


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