In this tutorial, we will Calculate Voltage Across the Capacitor in RC Circuit Using Matlab.RC circuit charging expression is also discussed.
Determine the voltage across the capacitor:
Let us compute the voltage across the capacitor for t≥0 using the following expression:
${{v}_{C}}(t)={{V}_{s}}(1-{{e}^{-t/\tau }})u(t)$
Whereas the source voltage is 1V and time constant τ=RC=0.2s.
- You May Also Read: Series RC Circuit Analysis Theory
It’s time to write some code in Matlab to calculate the capacitor voltage:
%RC Circuit Analysis with Source Added
clear all;close all;clc
%%Circuit Parameters
R= 2e3; % Resistance (2kOhm)
C= 100e-6; % Capacitance (100microFarad)
tau=R*C; % Circuit Time Constant
Vs= 1; % Source Voltage
Time= 0:tau/10:5*tau; % Sampling Time
V_C= Vs.*(1-exp(-Time./tau)).*heaviside(Time);
%%Plotting the Result
plot(Time,V_C)
xlabel('Time (s)')
ylabel('Amplitude (V)')
title('V_C')
%=============================================
Results:
