1.

Explain linear charge density, surface charg density and volume charge density for uniformly charge distribution.

Answer»

Solution :Linear charge density (`lambda` ): AMOUNT of charge pe unit length is called linear charge density `(lambda)`
`lambda = ("Total charge on line")/("length of line") = Q/l`
Unit: C/m Dimensional formula : `M^(0)L^(-1)T^(1)A`
Surface charge density (`sigma`) : Amount of charge PER unit AREA is called surface charge density `(sigma)`
`sigma = ("Total charge on surface")/("Area of surface") = Q/A`
Unit: `C//m^(2)` Dimensional formula: `M^(0)L^(-2)T^(1)A`
Volume charge density (`rho`): Amount of charge per unit volume is called volume charge density (`rho`).
`rho = ("Total charge on volume")/("Volume") = Q/v`
Unit: `C/m^(3)` Dimensional formula: `M^(0)L^(-3)T^(1)A^(1)`


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