Determine the voltage across the capacitor:

Let us compute the voltage across the capacitor for t≥0 using the following expression:

${{v}_{C}}(t)={{V}_{c0}}{{e}^{-t/\tau }}u(t)$

Whereas the capacitor initial voltage is 5V and time constant τ=RC=0.2s.

It’s time to write some code in Matlab to calculate the capacitor voltage:

## Matlab Code for RC Circuit

%RC Circuit Analysis clear all;close all;clc %%Circuit Parameters R= 2e3; % Resistance (2kOhm) C= 100e-6; % Capacitance (100microFarad) tau=R*C; % Circuit Time Constant Vco=5; % Capacitor initial Voltage at t=0 Time=0:tau/100:5*tau; % Sampling Time Vc=Vco.*exp(-Time./tau).*heaviside(Time); %%Plotting the Result plot(Time,Vc) xlabel('Time (s)') ylabel('Amplitude (V)') title('V_C') axis([0 5*tau 0 6]) % Manual Axis Limits adjustment %=============================================

**Results:**