Question

Q.1 Consider three charge distributions
A. ρ (x, y, z) = kx

B. ρ (x, y, z) = k √ (x2 + y2)

C. ρ (x, y, z) = k √ (x2 + y2 + z2)

Answer 1

As per the given question,

A.

$ρ (x, y, z) = kx$ from this we can conclude that charge is distributed on the axis x, it means if we will move on y and z axis then no effect will be measured but if we will move on the x-axis, then it will produce the effect. hence we can say that charge is distributed in planner symmetry.

B.

$ρ (x, y, z) = k √ (x^2 + y^2)$

From the above charge distribution,

we can conclude that charge is distributed in the circular region, so if we will move on the x and y axis then charge distribution will affact but if we will move on the z axis then it will not affact. It meas the symmetry of charge distribution is cylindrical.

C.

$ρ (x, y, z) = k √ (x^2 + y^2 + z^2)$

From the above we can see that it is forming a sphere, means charge is distibuted on the spherical shell surface, so it is spherical symmetry.