Apps

Electromagnetism and the Lorentz Force – Interactive

In the context of studying the relationships between electromagnetism and the Lorentz force, there have been several discussions that have baffled me. It’s very hard to distill all these things to one interactive, or even to a single set of relatable terms (given the variety of perspectives and characters that seem to exist out there discussing it). So I asked Chat to come up with a simple interactive, which I will test here and see if it’s of any use. If you like it, please share – copy the code if you need to but please remember where you found it.


Adjust Electric Field:

“This displays an interactive canvas where you can adjust the electric field strength with a slider. As the electric field strength increases, the particle (representing a charged particle influenced by the Lorentz force) will move up or down. The background color (representing the electric field) also changes based on the strength.

To make this more comprehensive, you’d need to involve more equations, incorporate magnetic fields, and perhaps use a more advanced graphics library, such as Three.js or D3.js. This provided example is a starting point and is highly simplified.”

Here’s the code, in case you want to use it:


<!DOCTYPE html>
<html lang="en">
<head>
    <meta charset="UTF-8">
    <meta name="viewport" content="width=device-width, initial-scale=1.0">
    <title>Electromagnetic Fields Interaction</title>
</head>
<body>
    <canvas id="myCanvas" width="500" height="500" style="border:1px solid;"></canvas><br>
    Adjust Electric Field: <input type="range" min="1" max="100" value="50" id="electricFieldSlider">

    <script>
        let canvas = document.getElementById("myCanvas");
        let ctx = canvas.getContext("2d");

        let electricFieldStrength = 50; // Arbitrary unit for simplicity

        function draw() {
            ctx.clearRect(0, 0, canvas.width, canvas.height);
            
            // Draw representation of Electric Field
            ctx.fillStyle = "rgba(0, 128, 255, " + electricFieldStrength / 100 + ")";
            ctx.fillRect(0, 0, canvas.width, canvas.height);
            
            // Draw representation of a particle (affected by the Lorentz force)
            let yPosition = canvas.height / 2 - (electricFieldStrength - 50) * 3; // Arbitrary calculation for simplicity
            ctx.beginPath();
            ctx.arc(canvas.width / 2, yPosition, 10, 0, 2 * Math.PI);
            ctx.fillStyle = "red";
            ctx.fill();
        }

        document.getElementById("electricFieldSlider").addEventListener("input", function() {
            electricFieldStrength = this.value;
            draw();
        });

        draw();
    </script>
</body>
</html>
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