Two concentric spherical conductors with radii $r_1=5cm$ and $r_2=10cm,$ carrying uniform charges, have been charged to potential values $V_1=5V$ and

$V_2=10V,$ respectively.

a$)$ Write a computer program $($in MATLAB$)$ that provides the variation of the potential function with respect to $r,$ within the range

and obtain the resulting curve.

b$)$ Utilizing the result above, write a MATLAB program to calculate the magnitude of the electrostatic field within the same region, and plot the variation of

the field strength with respect to $r.$