# Electric Field-Dimension Analysis

1. Mar 1, 2017

### Arman777

1. The problem statement, all variables and given/known data
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

2. Relevant equations
Dimension Analysis equataion

3. The attempt at a solution
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 ?

2. Mar 1, 2017

### kuruman

You are correct.

3. Mar 1, 2017

Ok thanks