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Q7. (Electric field due to continuous charge distribution) A semi-circular ring lying in the y−z plane has a charge density ρl = ρ0 cos⁡θ' coul /m, where θ′ is the angle measured from the z-axis as shown in the figure. (a) Find E for points (x, 0, 0) along the x-axis. (b) Show that for x ≫ R, the electric field is like that of a dipole, i. e. , depends on the cube (x3) of the displacement from the charge distribution.

Q7. (Electric field due to continuous charge distribution) A semi-circular ring lying in the y−z plane has a charge density ρl = ρ0 cos⁡θ' coul /m, where θ′ is the angle measured from the z-axis as shown in the figure. (a) Find E for points (x, 0, 0) along the x-axis. (b) Show that for x ≫ R, the electric field is like that of a dipole, i. e. , depends on the cube (x3) of the displacement from the charge distribution.

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Q7. (Electric field due to continous charge distribution) A semi-circular ring lying in the y − z plane has a charge density ρ l = ρ 0 cos ⁡ θ ' coul / m , where θ ′ is the angle measured from the z -axis as shown in the figure. (a) Find E for points ( x , 0 , 0 ) along the x -axis. (b) Show that for x ≫ R , the electric field is like that of a dipole, i.e., depends on the cube ( x 3 ) of the displacement from the charge distribution.

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