Numerical integration of N by 1 matrics

I have Q(charge density) vector size of N,1. I want to Plot the Voltage wave? How Can I plot ?

Answer 1

[Steven Lord]

See the trapz and cumtrapz functions.

Answer 2

[Dev]

Hi Usurupati,

To plot a voltage wave from a charge density vector, we will first understand the relationship between charge density and voltage. Typically, the voltage (V) can be related to charge density (Q) through some form of physical law or equation, depending on the context, such as using capacitance in an electrical circuit.

However, since there isn’t any additional context or specific equations relating charge density to voltage mentioned, here is a general approach to plot the voltage wave assuming we have some transformation or relationship between charge density and voltage.

Steps to Plot the Voltage Wave:

• Define the relationship:

Q = randn(N, 1); % where Q is a <Nx1> Charge Density vector

Voltage = k <times> Charge Density (Q), where k = proportionality constant (for e.g., capacitance).

• Compute Voltage:

V = k * Q; % Replace with the actual relationship, if different

• Plot the Voltage Wave:

The MATLAB 'plot' function can help us plot the corresponding voltage value computed in the previous step. More details on the same can be found at the link below. A generic example of how to plot velocity is mentioned in the code section below.

https://www.mathworks.com/help/releases/R2024a/matlab/ref/plot.html

figure;
plot(V);
title('Voltage Wave');
xlabel('Sample Index');
ylabel('Voltage (V)');
grid on;

Hope that helps!