Skip to content

Capacitance and Stored Electric Energy

Keep one parallel-plate capacitor on screen so geometry, stored charge, field strength, and stored electric energy stay tied to the same bounded battery-and-plates model.

Explore -> Understand -> Check + Continue

Simulation loading

Open Model Lab is preparing the live lab, controls, and graph surface for this concept.

Lower learning flow

Step 1 of 3Explore

Build the core picture before you start testing the idea.

Current stage

Step 1 of 32 sections

Explore

Build the core picture before you start testing the idea.

What to do here

Start with the explanation and key ideas so the concept has a stable shape before you push on it.

At the bench now

What to notice

Use the prompt surface to decide what to watch in the live bench before you move on.

Why it behaves this way

Explanation

Capacitance tells you how much charge a capacitor stores for each volt across it. This bench keeps one battery attached to one bounded pair of parallel plates so geometry, stored charge, field strength, and stored electric energy stay tied to the same setup.

The capacitor story stays geometric first. Plate area and plate separation set the capacitance, then the battery voltage determines how much charge builds on the plates and how much electric energy is stored in the field between them.

Key ideas

01For this bounded model with epsilon = 1 in displayed units, capacitance follows C = A / d.
02At fixed voltage, stored charge follows Q = CV.
03Stored electric energy follows U = 1/2 C V^2, so energy grows faster with voltage than charge does.

Bench tools and share links

Keep stable concept links and exact-state sharing tucked away until you actually need to relaunch or share the bench.

Try this setup

Jump to a named bench state or copy the one you are looking at now. Shared links reopen the same controls, graph, overlays, and compare context.

Saved setups

Saved setups are a Premium study tool. Stable concept links still work for everyone.

Checking saved setup access

Open Model Lab is resolving whether this bench can save locally, sync to an account, or open Premium-only compare tools.

Copy current setup

Exact-state sharing is part of Premium. Stable concept and section links still stay available.

Stable links

Progress and next steps

Keep progress signals, starter-track handoffs, and review prompts available without letting them compete with the live lesson flow.

Progress

Not started

Start exploring and Open Model Lab will keep this concept's progress on this browser first. Challenge mode has 2 compact tasks ready. No finished quick test, solved challenge, or completion mark is saved yet.