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
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