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Explain linear charge density, surface c...

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

Text Solution

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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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Knowledge Check

  • Unit of surface charge density ( sigma) is…….

    A
    `C/m^2`
    B
    `C/m^3`
    C
    `C/m`
    D
    Cm
  • Unit and dimensional formula of volume charge density are.......

    A
    `Cm^(-3),M^(0)L^(-3)T^(1)A^(1)`
    B
    `Cm^(-3),M^(0)L^(3)T^(1)A^(1)`
    C
    `Cm^(-3),M^(0)L^(3)A^(-1)T^(-1)`
    D
    `Cm^(3),M^(0)L^(-3)T^(1)A^(1)`
  • sigma and rho are surface and volume charge densities respectively of a charged sphere, so,......

    A
    `rho=0, sigma=0`
    B
    `rho=0, sigma ne 0`
    C
    `rho ne 0, sigma=0`
    D
    `rho ne 0, sigma ne 0`
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