Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance in free space is `(epsi_(0)` = permittivity of free s

Question

Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance in free space is `(epsi_(0)` = permittivity of free s

Surface density of charge on a sphere of radius R in terms of electric intensity E at a distance in free space is
`(epsi_(0)` = permittivity of free space)
A. `in_(0)E(R/r)^(2)`
B. `(in_(0)ER)/r^(2)`
C. `in_(0)E(r/R)^(2)`
D. `(in_(0)Er)/R^(2)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - C
The electric intensity out side the charged sphere in terms of surface charge density is given by,
`E=(sigmaR^(2))/(in_(0)Kr^(2))`
`therefore" "sigma=Ein_(0)K(r/R)^(2)`
For free space K = 1
`therefore" "sigma=Ein_(0)(r/R)^(2)`

4 views Answered 2023-02-05 15:29