Electrostatics: Forces, Fields, and Energy
Bridge the gap between foundational high-school physics and university-level electromagnetism. Learn how to calculate vector fields, apply Gauss's law to continuous charges, and analyze energy, conductors, and dielectrics.
Like Duolingo, but for Electrostatics: Forces, Fields, and Energy. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
25 levels across 3 sections, about 50 minutes end to end, roughly 10 days at five minutes a day. It moves through Forces and Field Distributions; Potential, Energy, and Flux; and Materials, Boundaries, and Dipoles. It assumes you already know the basics.
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Key ideas in Electrostatics: Forces, Fields, and Energy
- Coulomb force acts along the unit displacement vector connecting two charges
- Opposite charges produce an attractive force directed toward the source charge
- A unit vector scales the physical line of action to a magnitude of exactly one
- Linear superposition means pairwise electrostatic forces add purely as vectors
- The Coulomb force between two specific charges is independent of any third charge
- Summing independent vector components yields the exact net electrostatic force
- Earnshaw's theorem proves static electric fields cannot form a local potential minimum
- A configuration that restores displacement along one axis must push outward along another
- Stable mechanical levitation requires magnetic dynamics, feedback, or non-electrostatic forces
- Electric field intensity defines the electrostatic force exerted per unit charge at each point
- A field acts as a local intermediary rather than requiring instantaneous telepathic action
- Point-charge approximations assume charges cannot shift or polarize within their bodies
- When conductors come close, like charges migrate away from each other, weakening repulsion
- Nearby charges induce opposite surface charge on neutral conductors, creating net attraction
- Linear density (lambda) represents charge per unit length along one-dimensional lines.
- Surface density (sigma) tracks charge spread over two-dimensional areas and shells.
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Electrostatics: Forces, Fields, and Energy the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
Along which path does the Coulomb force act between two charges?
Get it right to open this lesson and 24 more in the app.
How to learn Electrostatics: Forces, Fields, and Energy, step by step
Go in order. 25 short levels across 3 sections, about 50 minutes in all, five minutes a day.
- 1
Forces and Field Distributions
- Vector Superposition and Coulomb Force
- Continuous Charge Distributions
- 2
Potential, Energy, and Flux
- Electric Potential and Work Integrals
- Gauss's Law and Geometric Symmetry
- Electrostatic Energy and Field Storage
- 3
Materials, Boundaries, and Dipoles
- Conductors in Equilibrium and Boundary Conditions
- Dielectrics, Polarization, and Capacitance
- Electric Dipoles and Multipole Expansions
3 sections · 8 units · 25 levels. Built to play, not to enroll.
Questions about Electrostatics: Forces, Fields, and Energy
How do I learn Electrostatics: Forces, Fields, and Energy?
Go in order: start with Forces and Field Distributions, then Potential, Energy, and Flux, then Materials, Boundaries, and Dipoles. On Tomo that's 25 short levels, about 50 minutes in all, played five minutes a day. Start free and play the first level in under a minute.
Is there a Duolingo-style app for Electrostatics: Forces, Fields, and Energy?
Yes. Tomo works like Duolingo: short daily lessons, streaks and quick quizzes. Electrostatics: Forces, Fields, and Energy is one of its free courses, and you can type any other topic to get a course of your own.
Is the Electrostatics: Forces, Fields, and Energy course free?
Yes. Electrostatics: Forces, Fields, and Energy is playable on Tomo's free plan, which doesn't expire. No credit card, no waitlist. Download the app and start your first lesson.
How long does it take to learn Electrostatics: Forces, Fields, and Energy?
25 levels across 3 sections, about 50 minutes of play in total. It's built for five minutes a day, so you finish it a little at a time instead of all at once.
Do I need any background to start Electrostatics: Forces, Fields, and Energy?
No. It's pitched at an intermediate level, so it starts where you are and builds up. If you can tap a phone, you can start.
Tomo is in ChatGPT
Tomo is also a ChatGPT plugin: the same playable courses, built and played inside your chat.
Add Tomo to ChatGPT- What to ask
- “Make me a Tomo course on black holes.” “Turn this chat into a Tomo course.”
- What you get
- Quick questions with instant feedback, hearts and stars, ready to play in about a minute.
- Where it goes
- No sign-up to start. Connect your Tomo account and your streak carries on in the app.
You pick the voice
Electrostatics: Forces, Fields, and Energy is taught in the Pirate style: arr, learning be an adventure!. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
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