- #1

Arman777

Gold Member

- 2,027

- 173

## Homework Statement

Theres a rod and charge density ##λ## is a function of ##x##, so simply ##λ(x)=bx## and b is a constant.Find the dimension of ##b##

and Find the total charge If the lenght of rod is L

## Homework Equations

Dimension Analysis equataion

## The Attempt at a Solution

[/B]I am thinking like rod is 1 dimensional object so the dimension of b will be ##\frac {C} {m^2}## and total charge of rod will be,

## Q=\int_0^L λ(x) \, dx## and from that ##Q=\frac {bL^2} {2}##

Is this true ?