Explain linear charge density, surface charge density and volume charge density for uniform charge distribution.
Explain linear charge density, surface charge density and volume charge density for uniform charge distribution.
Linear charge density $(\lambda):$ Amount of charge per unit length is called linear charge density $(\lambda)$. $\lambda=\frac{\text { Total charge on line }}{\text { length of line }}=\frac{Q}{l}$
Unit : $\mathrm{C} / \mathrm{m}$ Dimensional formula : $\mathrm{M}^{0} \mathrm{~L}^{-1} \mathrm{~T}^{1} \mathrm{~A}^{1}$
Surface charge density $(\sigma)$ : Amount of charge per unit area is called surface charge density $(\sigma)$. $\sigma=\frac{\text { Total charge on surface }}{\text { Area of surface }}=\frac{Q}{A}$
Unit: $\mathrm{C} / \mathrm{m}^{2}$ Dimensional formula : $\mathrm{M}^{0} \mathrm{~L}^{-2} \mathrm{~T}^{1} \mathrm{~A}^{1}$
Volume charge density $(\rho)$ : Amount of charge per unit volume is called volume charge density $(\rho)$. $\rho=\frac{\text { Total charge on volume }}{\text { Volume }}=\frac{Q}{V}$
Unit : $\frac{C}{m^{3}}$ Dimensional formula : $\mathrm{M}^{0} \mathrm{~L}^{-3} \mathrm{~T}^{1} \mathrm{~A}^{1}$
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