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<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Electric Field Calculator</title>
<script src="https://cdn.tailwindcss.com"></script>
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/6.4.0/css/all.min.css">
<script src="https://cdn.jsdelivr.net/npm/chart.js"></script>
<style>
.gradient-bg {
background: linear-gradient(135deg, #6b73ff 0%, #000dff 100%);
}
.particle {
position: absolute;
border-radius: 50%;
pointer-events: none;
}
.canvas-container {
position: relative;
width: 100%;
height: 300px;
background-color: #f8f9fa;
border-radius: 0.5rem;
overflow: hidden;
}
#fieldCanvas {
width: 100%;
height: 100%;
}
.slider-thumb::-webkit-slider-thumb {
-webkit-appearance: none;
appearance: none;
width: 20px;
height: 20px;
border-radius: 50%;
background: #4f46e5;
cursor: pointer;
}
.slider-thumb::-moz-range-thumb {
width: 20px;
height: 20px;
border-radius: 50%;
background: #4f46e5;
cursor: pointer;
}
</style>
</head>
<body class="bg-gray-50 min-h-screen">
<div class="gradient-bg text-white py-8 shadow-lg">
<div class="container mx-auto px-4">
<div class="flex items-center justify-between">
<div>
<h1 class="text-3xl font-bold"><i class="fas fa-bolt mr-2"></i>Electric Field Calculator</h1>
<p class="mt-2 opacity-90">Visualize and calculate electric fields from point charges</p>
</div>
<div class="hidden md:block">
<div class="flex space-x-2">
<div class="particle" style="width: 8px; height: 8px; background: rgba(255,255,255,0.6); top: 20px; left: 10px;"></div>
<div class="particle" style="width: 12px; height: 12px; background: rgba(255,255,255,0.8); top: 10px; left: 30px;"></div>
<div class="particle" style="width: 6px; height: 6px; background: rgba(255,255,255,0.4); top: 25px; left: 50px;"></div>
</div>
</div>
</div>
</div>
</div>
<div class="container mx-auto px-4 py-8">
<div class="grid grid-cols-1 lg:grid-cols-3 gap-8">
<!-- Input Section -->
<div class="bg-white rounded-xl shadow-md p-6 lg:col-span-1">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-calculator mr-2 text-indigo-600"></i> Calculator Parameters
</h2>
<div class="space-y-6">
<!-- Charge 1 -->
<div>
<label class="block text-sm font-medium text-gray-700 mb-1">Charge 1 (q₁)</label>
<div class="flex items-center space-x-2">
<input type="range" min="-100" max="100" value="50" class="w-full slider-thumb" id="charge1Slider">
<input type="number" id="charge1Input" value="50" class="w-20 px-3 py-2 border border-gray-300 rounded-md text-sm">
<span class="text-sm text-gray-500">μC</span>
</div>
</div>
<!-- Position 1 -->
<div>
<label class="block text-sm font-medium text-gray-700 mb-1">Position (x₁)</label>
<div class="flex items-center space-x-2">
<input type="range" min="0" max="300" value="100" class="w-full slider-thumb" id="position1Slider">
<input type="number" id="position1Input" value="100" class="w-20 px-3 py-2 border border-gray-300 rounded-md text-sm">
<span class="text-sm text-gray-500">cm</span>
</div>
</div>
<!-- Charge 2 -->
<div>
<label class="block text-sm font-medium text-gray-700 mb-1">Charge 2 (q₂)</label>
<div class="flex items-center space-x-2">
<input type="range" min="-100" max="100" value="-30" class="w-full slider-thumb" id="charge2Slider">
<input type="number" id="charge2Input" value="-30" class="w-20 px-3 py-2 border border-gray-300 rounded-md text-sm">
<span class="text-sm text-gray-500">μC</span>
</div>
</div>
<!-- Position 2 -->
<div>
<label class="block text-sm font-medium text-gray-700 mb-1">Position (x₂)</label>
<div class="flex items-center space-x-2">
<input type="range" min="0" max="300" value="200" class="w-full slider-thumb" id="position2Slider">
<input type="number" id="position2Input" value="200" class="w-20 px-3 py-2 border border-gray-300 rounded-md text-sm">
<span class="text-sm text-gray-500">cm</span>
</div>
</div>
<!-- Test Position -->
<div>
<label class="block text-sm font-medium text-gray-700 mb-1">Test Position (x)</label>
<div class="flex items-center space-x-2">
<input type="range" min="0" max="300" value="150" class="w-full slider-thumb" id="testPositionSlider">
<input type="number" id="testPositionInput" value="150" class="w-20 px-3 py-2 border border-gray-300 rounded-md text-sm">
<span class="text-sm text-gray-500">cm</span>
</div>
</div>
<button id="calculateBtn" class="w-full bg-indigo-600 hover:bg-indigo-700 text-white py-2 px-4 rounded-md font-medium transition duration-300 flex items-center justify-center">
<i class="fas fa-bolt mr-2"></i> Calculate Electric Field
</button>
</div>
</div>
<!-- Results and Visualization -->
<div class="lg:col-span-2 space-y-6">
<!-- Results Card -->
<div class="bg-white rounded-xl shadow-md p-6">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-chart-bar mr-2 text-indigo-600"></i> Calculation Results
</h2>
<div class="grid grid-cols-1 md:grid-cols-3 gap-4">
<div class="bg-gray-50 p-4 rounded-lg">
<p class="text-sm text-gray-500">Field from q₁</p>
<p id="field1Result" class="text-lg font-semibold">0 N/C</p>
</div>
<div class="bg-gray-50 p-4 rounded-lg">
<p class="text-sm text-gray-500">Field from q₂</p>
<p id="field2Result" class="text-lg font-semibold">0 N/C</p>
</div>
<div class="bg-indigo-50 p-4 rounded-lg border border-indigo-100">
<p class="text-sm text-indigo-600">Total Electric Field</p>
<p id="totalFieldResult" class="text-xl font-bold text-indigo-700">0 N/C</p>
</div>
</div>
<div class="mt-6">
<h3 class="font-medium text-gray-700 mb-2">Force Direction</h3>
<div id="forceDirection" class="flex items-center">
<div class="w-8 h-8 rounded-full bg-gray-200 flex items-center justify-center mr-2">
<i class="fas fa-question text-gray-500"></i>
</div>
<span class="text-gray-600">No calculation yet</span>
</div>
</div>
</div>
<!-- Visualization -->
<div class="bg-white rounded-xl shadow-md p-6">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-project-diagram mr-2 text-indigo-600"></i> Field Visualization
</h2>
<div class="canvas-container">
<canvas id="fieldCanvas"></canvas>
</div>
<div class="mt-4 flex justify-between items-center">
<div class="flex items-center">
<div class="w-4 h-4 rounded-full bg-red-500 mr-2"></div>
<span class="text-sm text-gray-600">Positive charge</span>
</div>
<div class="flex items-center">
<div class="w-4 h-4 rounded-full bg-blue-500 mr-2"></div>
<span class="text-sm text-gray-600">Negative charge</span>
</div>
<div class="flex items-center">
<div class="w-4 h-4 rounded-full bg-green-500 mr-2"></div>
<span class="text-sm text-gray-600">Test position</span>
</div>
</div>
</div>
<!-- Field Strength Graph -->
<div class="bg-white rounded-xl shadow-md p-6">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-chart-line mr-2 text-indigo-600"></i> Field Strength Along Axis
</h2>
<div class="h-64">
<canvas id="fieldGraph"></canvas>
</div>
</div>
</div>
</div>
<!-- Physics Explanation -->
<div class="mt-12 bg-white rounded-xl shadow-md p-6">
<h2 class="text-xl font-semibold text-gray-800 mb-4 flex items-center">
<i class="fas fa-atom mr-2 text-indigo-600"></i> Physics Behind the Calculation
</h2>
<div class="prose max-w-none">
<p>The electric field <strong>E</strong> at a point in space due to a point charge is given by Coulomb's Law:</p>
<div class="bg-gray-50 p-4 rounded-lg my-3">
<p class="text-center font-mono text-lg">E = k * |q| / r²</p>
</div>
<p>Where:</p>
<ul class="list-disc pl-5 space-y-1">
<li><strong>E</strong> is the magnitude of the electric field (N/C)</li>
<li><strong>k</strong> is Coulomb's constant (8.99 × 10⁹ N·m²/C²)</li>
<li><strong>q</strong> is the charge (C)</li>
<li><strong>r</strong> is the distance from the charge to the point (m)</li>
</ul>
<p class="mt-4">For multiple charges, the total electric field is the <strong>vector sum</strong> of the fields from each individual charge. In this 1D calculator, we simply add or subtract the field magnitudes based on their direction.</p>
<div class="bg-indigo-50 border-l-4 border-indigo-400 p-4 mt-4">
<p class="text-indigo-800"><strong>Note:</strong> In this calculator, we're working in one dimension (along the x-axis) for simplicity. In real 2D or 3D space, electric fields are vectors that require vector addition to combine properly.</p>
</div>
</div>
</div>
</div>
<footer class="bg-gray-800 text-white py-6 mt-12">
<div class="container mx-auto px-4">
<div class="flex flex-col md:flex-row justify-between items-center">
<div class="mb-4 md:mb-0">
<h3 class="text-lg font-semibold">Electric Field Calculator</h3>
<p class="text-gray-400 text-sm">A tool for visualizing electric fields</p>
</div>
<div class="flex space-x-4">
<a href="#" class="text-gray-400 hover:text-white transition">
<i class="fab fa-github text-xl"></i>
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<div class="mt-4 pt-4 border-t border-gray-700 text-center text-gray-400 text-sm">
<p>Created for educational purposes. Not for professional use.</p>
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</div>
</footer>
<script>
// Constants
const k = 8.99e9; // Coulomb's constant (N·m²/C²)
const scaleFactor = 1e6; // Convert μC to C and cm to m
// DOM Elements
const charge1Slider = document.getElementById('charge1Slider');
const charge1Input = document.getElementById('charge1Input');
const position1Slider = document.getElementById('position1Slider');
const position1Input = document.getElementById('position1Input');
const charge2Slider = document.getElementById('charge2Slider');
const charge2Input = document.getElementById('charge2Input');
const position2Slider = document.getElementById('position2Slider');
const position2Input = document.getElementById('position2Input');
const testPositionSlider = document.getElementById('testPositionSlider');
const testPositionInput = document.getElementById('testPositionInput');
const calculateBtn = document.getElementById('calculateBtn');
const field1Result = document.getElementById('field1Result');
const field2Result = document.getElementById('field2Result');
const totalFieldResult = document.getElementById('totalFieldResult');
const forceDirection = document.getElementById('forceDirection');
// Canvas setup
const canvas = document.getElementById('fieldCanvas');
const ctx = canvas.getContext('2d');
// Graph setup
const graphCanvas = document.getElementById('fieldGraph');
const graphCtx = graphCanvas.getContext('2d');
let fieldGraph;
// Set canvas dimensions
function resizeCanvas() {
const container = document.querySelector('.canvas-container');
canvas.width = container.clientWidth;
canvas.height = container.clientHeight;
graphCanvas.width = graphCanvas.parentElement.clientWidth;
graphCanvas.height = graphCanvas.parentElement.clientHeight;
drawField();
}
// Initialize
window.addEventListener('load', () => {
resizeCanvas();
initializeGraph();
setupEventListeners();
calculateElectricField();
});
window.addEventListener('resize', () => {
resizeCanvas();
updateGraph();
});
function setupEventListeners() {
// Charge 1
charge1Slider.addEventListener('input', (e) => {
charge1Input.value = e.target.value;
calculateElectricField();
});
charge1Input.addEventListener('input', (e) => {
const val = Math.min(100, Math.max(-100, parseInt(e.target.value) || 0));
charge1Slider.value = val;
charge1Input.value = val;
calculateElectricField();
});
// Position 1
position1Slider.addEventListener('input', (e) => {
position1Input.value = e.target.value;
calculateElectricField();
});
position1Input.addEventListener('input', (e) => {
const val = Math.min(300, Math.max(0, parseInt(e.target.value) || 0));
position1Slider.value = val;
position1Input.value = val;
calculateElectricField();
});
// Charge 2
charge2Slider.addEventListener('input', (e) => {
charge2Input.value = e.target.value;
calculateElectricField();
});
charge2Input.addEventListener('input', (e) => {
const val = Math.min(100, Math.max(-100, parseInt(e.target.value) || 0));
charge2Slider.value = val;
charge2Input.value = val;
calculateElectricField();
});
// Position 2
position2Slider.addEventListener('input', (e) => {
position2Input.value = e.target.value;
calculateElectricField();
});
position2Input.addEventListener('input', (e) => {
const val = Math.min(300, Math.max(0, parseInt(e.target.value) || 0));
position2Slider.value = val;
position2Input.value = val;
calculateElectricField();
});
// Test Position
testPositionSlider.addEventListener('input', (e) => {
testPositionInput.value = e.target.value;
calculateElectricField();
});
testPositionInput.addEventListener('input', (e) => {
const val = Math.min(300, Math.max(0, parseInt(e.target.value) || 0));
testPositionSlider.value = val;
testPositionInput.value = val;
calculateElectricField();
});
// Calculate button
calculateBtn.addEventListener('click', calculateElectricField);
}
function calculateElectricField() {
// Get values and convert to SI units
const q1 = parseFloat(charge1Input.value) * 1e-6; // μC to C
const x1 = parseFloat(position1Input.value) * 0.01; // cm to m
const q2 = parseFloat(charge2Input.value) * 1e-6; // μC to C
const x2 = parseFloat(position2Input.value) * 0.01; // cm to m
const x = parseFloat(testPositionInput.value) * 0.01; // cm to m
// Calculate distances
const r1 = Math.abs(x - x1);
const r2 = Math.abs(x - x2);
// Calculate field magnitudes (E = k|q|/r²)
const E1 = q1 !== 0 ? k * Math.abs(q1) / (r1 * r1) : 0;
const E2 = q2 !== 0 ? k * Math.abs(q2) / (r2 * r2) : 0;
// Determine directions (1D - just positive or negative)
let dir1 = 0;
if (q1 > 0) {
dir1 = (x > x1) ? 1 : -1;
} else if (q1 < 0) {
dir1 = (x > x1) ? -1 : 1;
}
let dir2 = 0;
if (q2 > 0) {
dir2 = (x > x2) ? 1 : -1;
} else if (q2 < 0) {
dir2 = (x > x2) ? -1 : 1;
}
// Calculate field components
const E1x = E1 * dir1;
const E2x = E2 * dir2;
const Etotal = E1x + E2x;
// Update results
field1Result.textContent = `${E1x.toExponential(2)} N/C`;
field2Result.textContent = `${E2x.toExponential(2)} N/C`;
totalFieldResult.textContent = `${Etotal.toExponential(2)} N/C`;
// Update force direction indicator
updateForceDirection(Etotal);
// Draw visualization
drawField();
// Update graph
updateGraph();
}
function updateForceDirection(Etotal) {
const directionIcon = forceDirection.querySelector('i');
const directionText = forceDirection.querySelector('span');
if (Etotal > 0) {
directionIcon.className = 'fas fa-arrow-right text-green-500';
directionText.textContent = 'Positive test charge would move to the right';
directionText.className = 'text-green-600';
forceDirection.querySelector('div').className = 'w-8 h-8 rounded-full bg-green-100 flex items-center justify-center mr-2';
} else if (Etotal < 0) {
directionIcon.className = 'fas fa-arrow-left text-red-500';
directionText.textContent = 'Positive test charge would move to the left';
directionText.className = 'text-red-600';
forceDirection.querySelector('div').className = 'w-8 h-8 rounded-full bg-red-100 flex items-center justify-center mr-2';
} else {
directionIcon.className = 'fas fa-equals text-gray-500';
directionText.textContent = 'No net force (equilibrium)';
directionText.className = 'text-gray-600';
forceDirection.querySelector('div').className = 'w-8 h-8 rounded-full bg-gray-200 flex items-center justify-center mr-2';
}
}
function drawField() {
// Clear canvas
ctx.clearRect(0, 0, canvas.width, canvas.height);
// Get positions in canvas coordinates
const x1 = parseFloat(position1Input.value) / 300 * canvas.width;
const x2 = parseFloat(position2Input.value) / 300 * canvas.width;
const x = parseFloat(testPositionInput.value) / 300 * canvas.width;
const q1 = parseFloat(charge1Input.value);
const q2 = parseFloat(charge2Input.value);
// Draw axis
ctx.beginPath();
ctx.moveTo(0, canvas.height / 2);
ctx.lineTo(canvas.width, canvas.height / 2);
ctx.strokeStyle = '#6b7280';
ctx.lineWidth = 1;
ctx.stroke();
// Draw charge 1
ctx.beginPath();
ctx.arc(x1, canvas.height / 2, 15, 0, Math.PI * 2);
ctx.fillStyle = q1 >= 0 ? '#ef4444' : '#3b82f6';
ctx.fill();
// Draw charge 2
ctx.beginPath();
ctx.arc(x2, canvas.height / 2, 15, 0, Math.PI * 2);
ctx.fillStyle = q2 >= 0 ? '#ef4444' : '#3b82f6';
ctx.fill();
// Draw test position
ctx.beginPath();
ctx.arc(x, canvas.height / 2, 10, 0, Math.PI * 2);
ctx.fillStyle = '#10b981';
ctx.fill();
// Draw charge labels
ctx.font = 'bold 14px Arial';
ctx.fillStyle = '#ffffff';
ctx.textAlign = 'center';
ctx.textBaseline = 'middle';
// Charge 1 label
ctx.fillText(q1 >= 0 ? '+' : '−', x1, canvas.height / 2);
// Charge 2 label
ctx.fillText(q2 >= 0 ? '+' : '−', x2, canvas.height / 2);
// Draw field lines (simplified representation)
drawFieldLines(x1, q1, x2, q2);
}
function drawFieldLines(x1, q1, x2, q2) {
const centerY = canvas.height / 2;
const spacing = 20;
// Draw field lines for charge 1
if (q1 !== 0) {
const lines1 = Math.min(10, Math.abs(q1) / 10);
for (let i = 0; i < lines1; i++) {
const angle = (i / lines1) * Math.PI * 2;
const startX = x1 + Math.cos(angle) * 20;
const startY = centerY + Math.sin(angle) * 20;
let endX, endY;
if (q1 > 0) {
// Field lines point away from positive charge
endX = x1 + Math.cos(angle) * 40;
endY = centerY + Math.sin(angle) * 40;
} else {
// Field lines point toward negative charge
endX = x1 - Math.cos(angle) * 40;
endY = centerY - Math.sin(angle) * 40;
}
drawArrow(startX, startY, endX, endY, q1 > 0 ? '#ef4444' : '#3b82f6');
}
}
// Draw field lines for charge 2
if (q2 !== 0) {
const lines2 = Math.min(10, Math.abs(q2) / 10);
for (let i = 0; i < lines2; i++) {
const angle = (i / lines2) * Math.PI * 2;
const startX = x2 + Math.cos(angle) * 20;
const startY = centerY + Math.sin(angle) * 20;
let endX, endY;
if (q2 > 0) {
// Field lines point away from positive charge
endX = x2 + Math.cos(angle) * 40;
endY = centerY + Math.sin(angle) * 40;
} else {
// Field lines point toward negative charge
endX = x2 - Math.cos(angle) * 40;
endY = centerY - Math.sin(angle) * 40;
}
drawArrow(startX, startY, endX, endY, q2 > 0 ? '#ef4444' : '#3b82f6');
}
}
}
function drawArrow(fromX, fromY, toX, toY, color) {
const headLength = 10;
const angle = Math.atan2(toY - fromY, toX - fromX);
ctx.beginPath();
ctx.strokeStyle = color;
ctx.lineWidth = 1.5;
// Draw the line
ctx.moveTo(fromX, fromY);
ctx.lineTo(toX, toY);
ctx.stroke();
// Draw the arrow head
ctx.beginPath();
ctx.moveTo(toX, toY);
ctx.lineTo(toX - headLength * Math.cos(angle - Math.PI/6), toY - headLength * Math.sin(angle - Math.PI/6));
ctx.moveTo(toX, toY);
ctx.lineTo(toX - headLength * Math.cos(angle + Math.PI/6), toY - headLength * Math.sin(angle + Math.PI/6));
ctx.stroke();
}
function initializeGraph() {
fieldGraph = new Chart(graphCtx, {
type: 'line',
data: {
labels: Array.from({length: 31}, (_, i) => i * 10), // 0 to 300 cm
datasets: [
{
label: 'Electric Field (N/C)',
data: [],
borderColor: '#4f46e5',
backgroundColor: 'rgba(79, 70, 229, 0.1)',
borderWidth: 2,
fill: true,
tension: 0.1
}
]
},
options: {
responsive: true,
maintainAspectRatio: false,
scales: {
x: {
title: {
display: true,
text: 'Position (cm)'
}
},
y: {
title: {
display: true,
text: 'Electric Field (N/C)'
}
}
},
plugins: {
legend: {
position: 'top',
},
tooltip: {
callbacks: {
label: function(context) {
return `E = ${context.parsed.y.toExponential(2)} N/C`;
}
}
}
}
}
});
}
function updateGraph() {
const q1 = parseFloat(charge1Input.value) * 1e-6; // μC to C
const x1 = parseFloat(position1Input.value) * 0.01; // cm to m
const q2 = parseFloat(charge2Input.value) * 1e-6; // μC to C
const x2 = parseFloat(position2Input.value) * 0.01; // cm to m
const data = [];
// Calculate field at 31 points along the axis (0-300 cm)
for (let i = 0; i <= 300; i += 10) {
const x = i * 0.01; // cm to m
// Calculate distances
const r1 = Math.abs(x - x1);
const r2 = Math.abs(x - x2);
// Calculate field magnitudes (E = k|q|/r²)
const E1 = q1 !== 0 ? k * Math.abs(q1) / (r1 * r1) : 0;
const E2 = q2 !== 0 ? k * Math.abs(q2) / (r2 * r2) : 0;
// Determine directions (1D - just positive or negative)
let dir1 = 0;
if (q1 > 0) {
dir1 = (x > x1) ? 1 : -1;
} else if (q1 < 0) {
dir1 = (x > x1) ? -1 : 1;
}
let dir2 = 0;
if (q2 > 0) {
dir2 = (x > x2) ? 1 : -1;
} else if (q2 < 0) {
dir2 = (x > x2) ? -1 : 1;
}
// Calculate field components
const E1x = E1 * dir1;
const E2x = E2 * dir2;
const Etotal = E1x + E2x;
data.push(Etotal);
}
// Update chart data
fieldGraph.data.datasets[0].data = data;
fieldGraph.update();
}
// Create floating particles
function createParticles() {
const container = document.querySelector('.gradient-bg');
for (let i = 0; i < 10; i++) {
const particle = document.createElement('div');
particle.className = 'particle';
const size = Math.random() * 5 + 3;
const posX = Math.random() * 100;
const posY = Math.random() * 60;
const opacity = Math.random() * 0.5 + 0.3;
const duration = Math.random() * 10 + 10;
particle.style.width = `${size}px`;
particle.style.height = `${size}px`;
particle.style.left = `${posX}%`;
particle.style.top = `${posY}%`;
particle.style.background = `rgba(255,255,255,${opacity})`;
particle.style.animation = `float ${duration}s linear infinite`;
container.appendChild(particle);
}
}
// Add animation for particles
const style = document.createElement('style');
style.textContent = `
@keyframes float {
0% {
transform: translateY(0) translateX(0);
opacity: 1;
}
50% {
transform: translateY(-20px) translateX(10px);
opacity: 0.8;
}
100% {
transform: translateY(0) translateX(0);
opacity: 1;
}
}
`;
document.head.appendChild(style);
// Initialize particles
createParticles();
</script>
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