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Capacitance of Parallel Plate Capacitor

24. Consider ...

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24. Consider a metal sphere of radius R that is cut in two parts along a plane whose minimum distance from the spheres centre is h. Sphere is uniformly charged by a total electric charge Q. The minimum force necessary to hold the two parts of the sphere together is ?

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Q. A metallic sphere of radius

R

is cut in two parts along a plane whose minimum distance from the sphere's centre is

h = \frac{R}{2}

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

\frac{3 k Q^{2}}{p R^{2}}

. Then find the value of

p

Q. A hollow metal sphere of radius

R

is uniformly charged. The electric field due to the sphere at a distance

r

from the centre

Q. Consider a uniformly charged sphere that has a total charge of

Q

that has a radius of

R

. What is the electrostatic potential difference,

Δ V

, between the centre of the sphere and the surface of the sphere?

Q. A cavity of radius

r / 3

is made in a sphere of radius

r

Q

. The emptied part is placed at a distance

2 r

from the centre as shown. If the charge was uniformly distributed throughout, then force between the two is :

Q. Two spheres are isolated from each other. They each have an identical net positive charge and the same radius. One sphere is solid and insulating while the other is a hollow conducting sphere whose charge is uniformly distributed.
For which sphere is the electric field the greatest at a distance x from the center of the spheres? Assume x is greater than the radius of the spheres.

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