An electric dipole with moment p is placed at the origin along the z-axis. A neg

Question

An electric dipole with moment p is placed at the origin along the z-axis. A negative electric charge, -q. is placed at the point x = z = b, y = 0. Calculate the electric force on the charge. Two concentric metal spheres of radii a and b have a linear dielectric material with relative permittivity epsilon_r in between. A net charge of Q is placed on the inner conductor and the outer conductor is grounded. Calculate the electric field at a point between the spheres. Calculate the polarization at a point between the spheres. Calculate the bound charge density in between the spheres.

Explanation / Answer

2) Electric field due to dipole is given by:

Er = 2kpsin theta/r^3 for

Etheta = kpcos theta/r^3

here theta = 45 degree, r = b sqrt2

Er =  2kp/4b^3 = kp/2b^3

Etheta = kp/4b^3

net E = [sqrt 5]kp/4b^3

Force = qE = [sqrt 5]qkp/4b^3 where k is coulombs constant.

Force = qE

= -q* kp/r^3 where r = sqrt(b^2+b^2+0^2) = b sqrt 2

Force = -q* kp/[b^3 * sqrt 8]

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