ElectrostaticsHard
Question
Let there be a spherically symmetric charge distribution with charge density varying as ρ (r) = ρ0 
upto r = R, and ρ(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r(r < R) from the origin is given by
upto r = R, and ρ(r) = 0 for r > R, where r is the distance from the origin. The electric field at a distance r(r < R) from the origin is given byOptions
A.
B.
C.
D.
Solution
Apply shell theorem the total charge upto distance r can be calculated as followeddq = 4πr2. dr. ρ
= 4πr2. dr. ρ
= 4 π ρ0
= 4πr2. dr. ρ
= 4 π ρ0
Create a free account to view solution
View Solution FreeMore Electrostatics Questions
The electric potential at a point due to an electric dipole will be :...A flat circular fixed disc has a charge +Q uniformly distributed on the disc. A charge +q is thrown with kinetic energy ...Two point charges placed at a distance r in air exert a force F on each other. The value of distance R at which they exp...Two equal charges are fixed at x = - a and x = + a on the x-axis. Another point charge Q is placed at the origing. The c...Two point charges a & b, whose magnitudes are same are positioned at a certain distance from each other with a at origin...