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Making use of the formulation and the so...

Making use of the formulation and the soulution of the foregoing problem, find the magnitude fo the force exerted by the charges bound on the surface of the dielectric on the point charge `q`.

Text Solution

Verified by Experts

The force on the point chagre `q` is due to the bound chagres. This can be calculated from the field at this charge after extracing out the self field. This image field is
`E_("image") = (epsilon -1)/(epsilon +1) (q)/(4pi epsilon_(0) (2l)^(2))`
Thus, `F = (epsilon - 1)/(epsilon +1) (q^(2))/(16pi epsilon_(0) l^(2))`
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Knowledge Check

  • A point charge +Q is placed at the centroid of an equilateral triangle. When a second charge +Q is placed at a vertex of the triangle, the magnitude of the electrostatic force on the central charge is 8 N. The magnitude of the net force on the central charge when a third charge +Q is placed at another vertex of the triangle is

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  • In a conducting hollow sphere of inner and outer radii 5 cm and 10 cm, respectively, a point charge 1 C is placed at point A, that is 3 cm from the center C of the hollow sphere. An external uniform electric field to magnitude 20 NC^(-1) is also applied. Net electric force on this charge is 15 N, away from the center of the sphere as shown. Find the magnitude of net force exerted on the charge placed at point A by the induced charges on the sphere

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