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Surface Integral

a point charg...

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a point charge q is placed at centre of a hollow uniformly charged sphere of radius r charge Q. the energy of system is

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Q. A system comprises of a solid non conducting sphere of charge

Q

R

. A point charge

q

is placed at a distance

r

from the centre of sphere. Find the total energy of the system

[k = \frac{1}{4 π ε_{0}}]

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. A metal ball of radius

R

is placed concentrically inside a hollow metal sphere of inner radius

2 R

and outer radius

3 R

. The ball is given a charge

+ 2 Q

and the hollow sphere a total charge

- Q

. The electrostatic potential energy of this system is:

Q. The electric potential at a point

P

inside a uniformly charged conducting sphere of radius

R

Q

r

from the centre is :

Q. A point charge

- q

m

is placed at the centre of a uniformly charged ring of charge

Q

R

. Find the time period of oscillation if the point charge is slightly displaced and released.

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