Solve Laplace's equation using the FD method for the structure given below $($figure $3).$ The

boundary of the left half of the structure is biased at $-1V,$ whereas the boundary of the right

half is biased at $+5V.$ Use a step size of $2cm$ in both dimensions.

Decrease the step size to $1cm,0\mathrm{.}5cm$ and $0\mathrm{.}25cm$ and repeat part $(1).$

Compare the results obtained in parts $(1)$ and $(2)$ for some points inside the structure. Make

error analysis $($a plot would be a good idea$).$

Produce contour plots for the equi$-$potential lines inside the structure. $($In MATLAB, there

is a function for contouring.$)$

Produce a vector plot of the electric field inside the structure $($bonus marks$).$

Fig. $3.$ The structure to be analyzed.