A metallic sphere of radius R is cut in two parts along a plane whose minimum distance from the sphere's center is h = 
and the sphere is uniformly charged by a total electric charge Q. The minimum force necessary (to be applied on each of the two parts) to hold the two parts of the sphere together is 
. Then find the value of p?
Text Solution
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(32)
Sphere is cut along the plane shown by dotted part.
P = Electrostatic pressure exerted on each point of sphere due to charge sphere due to charge on it
∴ force required to hold both pieces together F = P × A (Where A = Area of shaded portion)
∴ F = 
× A [Where 
= P = (electrosatic pressure on sphere)
∴ = 
∴ = 
× 
× π (R 2 – h 2| )
F = 
∴ Put h = R/2
∴ F = 
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