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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 length 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 ?