fhis program will be written in the c$++$ language, and recap pointers, structures, and dyramic memory allacation.

Create a program that will selve for voltage and current across a capacitor as a function of time.

Constant current source power supply

For charging a capacitor with a constant current power supply, the resulting circuit looks ike

The current through a capacitor as a function of time can be written as

$I(t)=C\frac{dV(t)}{dt}$

Using a finite$-$difference method, the voltage across the capacitor can be found as

$V(t+1)=V(t)+I(t)t\frac{1}{C}$

At time $t=0,$ the voltage across the capacitor is $0.$

Constant voltage seurce power supply

In this case, a resistor is used to protect the power supply. The resulting circuit loaks as

$V_i(t)=V_r(t)+V_{lon}(t)$

Insegrating equation $(1)$ and plugging inte equation $(3)$ with Chin's lae gipres

$h(t)-f(t)n+\frac{1}{c}{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}f(r)dr$

Taking die detivative of this equation and multiplying by $C$ yive:

$n(t+1$:$)=n(t)-\frac{r(l)}{Nc}t$

At time $t=0,I(t-0)$ is equal so $\frac{5}{3}.$

Data Format

Use a structure that looks like

:

typodef struct $\_$capacitor Gabstah

Solve for the voltage across the capacitor in the constant current case using

$V(t+1)=V(t)+I(t)t\frac{1}{C}$

In words, this means that the voltage at the next time step $(t+1)$ is equal to the voltage and the previous time step $($t$)$

plus the current at the previous timestep $($t$)$ multiplied by $t$ and inverse capacitance.

and the current through the capacitor using

$I(t+1)=I(t)-\frac{I(t)}{RC}t$

Again, in words, this means that the current at the next timestep $(t+1)$ is equal to the current at the previous timestep

$(t-1)$ minus the current at the previous timestep $(t)$ multiplied by resistance, capacitance and $t.$

Again in words, this means that the cursent at the neat tirestap $t+1$ is equal so the current at the previous timestep

$($t$-1)$ minus the curnent at the previous timestep $($t$)$ multipied by resistance. capocitance and $t.$

Uie the valuet of

$t=1c*10s$

hinal time $-$ se $6s$

Number of timatereps $-$ ie h$/$fie $10-$ scovos

$k=1kn$

$ct=$ tanis $12+$

$r(x)=10,2$ A $($for conetant current suaply$)$

$V_1-100$ V $($for conctant woltage sapply$)$

You will need to dyanmicaly allocute the tinse, woltsge, and cartert arrays in the structure, Output the fosulting

current and voltage for the capacitor for the diffenent changing circuits exry $200$ timestops to the screen.

A loop over the number of timesteps will be feeded to iterate the voltage ard current is time, Start at timestep $1.$

with timestep o being filled with the initial conditions given in the equation detalls.