Student Question Copy ID $$Please produce in MATLAB. $1.(15$points for code, $5$points for plot $)$Perform an iterative calculation of vc for the first $5$ ms and upload the source code or spreadsheet or $.$ m file that you used to produce your results. Assume that the initial inductor current and capacitor voltage are zero. Use a step time of $1\backslash$ mu s $.$Plot your numerical solution for vC on the same graph as the exact solution above. This is a suggested approach. a $.$Calculate iL b $.$Calculate vC c $.$Calculate vS d $.$Calculate iR e $.$Calculate iC f $.$Calculate vC $$ g $.$Calculate vL h $.$Calculate iL $$ i $.$Using the previous values of iL and vC $,$their derivatives, and the step size, calculate new values for iL and vC and repeat. $.(5$points per plot $)$Repeat$,$ using time steps of $10\backslash$ mu s and $50\backslash$ mu s and plot your results $($ you do not need to upload the code again $).3.(10$points $)$You should see that a smaller time step produces more accurate results. This is common in time $-$ domain simulations $($ in SPICE we can control the maximum time step of the solver in transient analysis $).$If this is true, then why don $$ t all simulations use a very small time step?