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Question
Let there be a spherically symmetric charge distribution with charge density varying as `rho("r") = rho_0(5/4 - "r"/"R")` upto r = R, and `rho("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 _________.
Options
`(rho_0"r")/(4epsilon_0) (5/3 - "r"/"R")`
`(4pirho_0"r")/(3epsilon_0) (5/3 - "r"/"R")`
`(4rho_0"r")/(4epsilon_0) (5/4 - "r"/"R")`
`(rho_0"r")/(3epsilon_0) (5/4 - "r"/"R")`
Solution
Let there be a spherically symmetric charge distribution with charge density varying as `rho("r") = rho_0(5/4 - "r"/"R")` upto r = R, and `rho("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 `underline((rho_0"r")/(4epsilon_0) (5/3 - "r"/"R"))`.
