$75p$ Write a code $($python or java or MS excel or any other language$)$ to calculate the following: In this problem we will

calculate the electric potential of a point charge at various points. The charge will be located at the bottom left of the

matrix. Each cell is $0\mathrm{.}1m$ long. The charge is the last digit of your ID number in $nC($nanocoulomb$).$ If you id no is

$20??????13,$ your charge is $3nC,$ if $20????????01$ your charge is $1nC...$etc.

a$)$ Create a matrix $1010(10$ rows, $10$ columns$),$ the point charge is at $i,j=[0,0]$ point.

b$)$ Calculate the potential at each point in the matrix, $($you will calculate $1010-1=99$ values$)$ Save this data.

c$)$ Plot $2$ dimensional image of the matrix by appropriate graphing tools.

d$)$ Plot $V$ for $i=[1,9]$ and $j=0x$ direction, $V$ vs $x$

e$)$ Plot $V$ for diagonal direction $i$;$j=[1$;$1]$ to $[9,9],V$ vs $r(r$ is in diagonal direction$)$

f$)$ On this data, which points have the same $V$ potential value? Can you draw equipotential lines on the data? How

would you change this problem, so that you can draw equipotential lines?

$25p$ Use your programming skills to demonstrate $/$ solve another problem from Physics II topics.