A uniform electric field `vec(E) = -E_(x) hat(i) N//C` for `x lt 0` exists. A right circular cylinder of length `l cm` and radius `r cm` has its centre at the origin and its axis along X-axis. Find out the net outward flux. What is the net charge within the cyclinder ?

Answer

`2pi r^(2) E_(x) (10^(-4)) Nm^(2) C^(-1), 2 pi r^(2) E_(x) in_(0) (10^(-4)) C`

Explanation

Net. Outward flux,
`phi_(E) = E_(x) pi ((r )/(100))^(2) + E_(x). pi ((r )/(100))^(2) + 0`
`phi_(E) = 2pi r^(2) E_(x) (10^(-4)) Nm^(2) C^(-1)`
`q = in_(0) phi_(E) = 2pi r^(2) in_(0) E_(x) (10^(-4)) C`