Question

Dimensional formula of linear charge density lambda

Answer 1

Linear charge density (λ) is given by $\frac{charge}{length}$ = $\frac{q}{l}$

Now, $\frac{q}{l}$ = $\frac{[A T]}{[L]}$

Therefore, [λ] = [TL⁻¹T]

Answer 2

answer : [L-¹AT]

linear charge density is the rate of change of charge with respect to length on charged particle. it is generally denoted by $\lambda$.

if A uniformly charged rod of length l is given and total charge on the rod is q. then, linear charge density of rod = q/l.

as I already mentioned, linear charge density is the ratio of charge and length.

so, dimension of linear charge density = dimension of charge/dimension of length

dimensional formula of charge = [AT]

and dimension formula of length= [L]

so, dimension formula of linear charge density = [AT]/[L] = [L-¹AT]