Physics · Electrostatics

Coulomb's Law Simulator - Electrostatic Force

Interactive Coulomb's law simulator. Adjust charges and distance. See electrostatic force, repulsion/attraction, and inverse square law.

⚛️ Coulomb's Law Simulator - Electrostatic Force

Electrostatics
What's happening? F = kq₁q₂/r². Same signs repel, opposite signs attract. Notice how halving the distance quadruples the force — that's the inverse square law.
Why this matters for JEE

Coulomb's law is the foundation of electrostatics — a high-weightage, high-scoring topic.

JEE asks 2-3 questions every year on electric charge, Coulomb's law, and electric fields. The inverse-square law is one of the most tested concepts across both JEE Main and Advanced.

Key formulas

Coulomb's Law & Electrostatics Formulas

Coulomb's Law

F = k · q₁q₂/r²

k = 8.988×10⁹ N·m²/C². Like charges repel, opposite charges attract.

Electric field

E = F/q = k·Q/r²

Force per unit charge. Points away from positive, toward negative.

Superposition

Fnet = F₁ + F₂ + F₃ + ...

Force from multiple charges = vector sum of individual forces.

Electric flux

Φ = E·A·cos(θ)

For closed surface: Φ = Qenc/ε₀ (Gauss's law).

Charge quantization

q = ne, e = 1.6×10⁻¹⁹ C

All charges are integer multiples of electron charge.

Coulomb vs Gravity

Fe/Fg = kq₁q₂/Gm₁m₂

Electric force is ~10³⁶ times stronger than gravity. Key comparison!

Step-by-step problem solving

How to solve electrostatics problems in JEE

  1. Identify all charges and positions — list every charge with its sign and coordinates.
  2. Apply Coulomb's law for each pair — F = kq₁q₂/r². Calculate magnitude first, then sign.
  3. Determine direction — repulsion for like charges, attraction for unlike. Draw force vectors.
  4. Use superposition — for 3+ charges, find net force by vector addition.
  5. Consider special techniques — Gauss's law for symmetric charge distributions, symmetry arguments for cancellation.
Common JEE mistakes

What students get wrong

❌ Forgetting direction in superposition

Force is a vector — you MUST add components, not magnitudes. Fnet = √(ΣFx² + ΣFy²), not |F₁| + |F₂| + |F₃|.

❌ Units and powers of 10

Charge is often in μC or nC. Convert to Coulombs first: 1 μC = 10⁻⁶ C. Distance in cm? Convert to m.

❌ Wrong sign on force

F = k|q₁||q₂|/r² gives magnitude. The sign tells you whether the force is attractive (-) or repulsive (+). Don't just plug negative charges into the formula blindly.

❌ Ignoring equilibrium conditions

If a test charge is placed at a null point, net E = 0. But if displaced, the stable/unstable nature depends on the second derivative. JEE Advanced tests this!

How important is Coulomb's Law Simulator - Electrostatic Force for JEE Main and Advanced?

Coulomb's Law Simulator - Electrostatic Force is a high-value topic in JEE Physics. Interactive Coulomb's law simulator. Adjust charges and distance. Questions from this chapter test both conceptual clarity and numerical accuracy. In JEE Main, expect direct formula-based problems; in JEE Advanced, expect multi-concept questions combining Coulomb's Law Simulator - Electrostatic Force with related topics. Mastering the visualization here builds the intuition needed to solve tricky MCQs under time pressure.

FAQs

Coulomb's Law Questions

Why is the force inversely proportional to r²?

Because electric field lines spread out radially. The surface area of a sphere is 4πr². Doubling r spreads the same field over 4× the area → field strength drops by factor of 4. This is the inverse-square law.

What's the difference between k and 1/(4πε₀)?

They're the same: k = 1/(4πε₀) = 8.988×10⁹ N·m²/C². JEE prefers k notation; some textbooks use ε₀. Both give the same answer.

How do I know if a charge is in equilibrium?

A charge is in equilibrium when net force on it = 0. For three charges on a line, the middle one can have zero net force if the two outer forces cancel. For continuous charge, use ∫dF = 0.

Can I use Coulomb's law for continuous charge distributions?

Not directly — you need to integrate. Break continuous charge into infinitesimal dq, apply dF = k·dq·q/r², then integrate over the entire distribution. For symmetric cases, use Gauss's law instead.

Is there a free online Coulomb's Law Simulator - Electrostatic Force simulator for JEE preparation?

Yes — JEEVisionary's Coulomb's Law Simulator - Electrostatic Force simulator is 100% free, runs in any browser, and requires no login or download. You can adjust parameters in real time and watch the visualization update instantly, making it ideal for building intuition before solving JEE Physics numericals.

How does the interactive Coulomb's Law Simulator - Electrostatic Force visualization help in JEE?

The interactive visualization lets you see how changing one variable affects the entire system — something textbook diagrams can't show. JEE frequently tests conceptual understanding through tricky options; using a simulator to build visual intuition helps you eliminate wrong choices faster during the exam.

Can I use this Coulomb's Law Simulator - Electrostatic Force simulator on mobile during revision?

Absolutely. JEEVisionary's concept lab simulators are fully responsive and work on phones, tablets, and desktops. The touch-friendly sliders let you explore parameters during bus rides, breaks, or quick revision sessions — no app install needed.

Try this

Quick exercise with the simulator

Step 1: Set all sliders to their default positions and observe the baseline visualization for Coulomb's Law.

Step 2: Change only one parameter at a time. Before moving each slider, predict what will happen — then check if you were right.

Step 3: Try to find the extreme case — what slider value makes the output maximum or minimum? This is exactly how JEE tests your understanding.

Avoid these traps

Common mistakes

Consuming without acting

Most people do: read the entire page and close the tab without doing anything. You should do: pick one action from the "What to do next" section and complete it today.

Not verifying with official sources

Most people do: trust any website (including this one) as the final authority. You should do: check the linked official portal for dates, fees, eligibility, or document rules before making decisions.

Bookmarking instead of executing

Most people do: save 20 tabs "for later" and never return. You should do: write one next step on paper right now, then close extra tabs.

Before you leave

Revision checklist

  • I can explain the key relationship in Coulomb's Law without looking at formulas.
  • I tested at least 3 different parameter combinations in the simulator.
  • I can predict what happens when each variable increases or decreases.
  • I solved at least one JEE PYQ from this topic and verified my approach.
  • I noted any concept I found tricky in my error log for revision.
Direct answer

Use Coulomb's Law Simulator - Electrostatic Force to turn a Physics idea into one solved question.

This simulator is most useful when you predict the change first, move the controls second, and then solve a related JEE-style question without looking at the screen. Do not treat it like a video. Treat it like a small lab for checking whether the formula, graph, trend, or mechanism is actually clear in your head.

How

How to use this tool

  1. Read the formula or rule on the page and write your prediction before touching the controls.
  2. Change only one slider, value, or option at a time. If you change everything together, you will not know what caused the result.
  3. Say the reason out loud in one sentence: the graph shifts because of this term, the value changes because of this relation, or the reaction changes because of this condition.
  4. Solve one matching PYQ or coaching-sheet question immediately after using the simulator. The visual is only useful if it improves paper solving.
  5. Add one line to your error log if your prediction was wrong. Write the exact trigger you missed, not just "concept weak".
Example

A realistic way to practise

For a Physics graph or motion question, change one quantity at a time, predict what should happen, then check the diagram before solving a numerical question. If your prediction and the simulator disagree, pause there. Re-read the formula, test one smaller case, and only then move to a timed question.

Checklist

Before you leave this page

  • You can explain the main rule in under 20 seconds.
  • You solved at least one related question on paper after using the visual.
  • You know one common mistake this topic creates in JEE problems.
  • You saved the topic in your revision or error-log system if it still feels shaky.
What to do next

Take your next step

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Track this page against the actual Physics, Chemistry, and Maths syllabus so it affects your plan.

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2. Build today's study block

Convert the advice into one focused session with revision, practice, and review.

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