Use current-made magnetic fields, changing flux, Maxwell's four-law synthesis, magnetic force, and field-pair propagation without turning the branch into a detached rule list.
Use this page when the voltage-and-current story is already stable and you want the magnetic branch to stay coherent. The overview starts with magnetic fields built by current, then keeps that same B-field picture honest in four directions: changing flux linkage creating Faraday/Lenz induction, an existing magnetic field pushing on moving charges or current segments, a compact Maxwell synthesis that keeps source laws and circulation laws in one picture, and the propagation case where changing electric and magnetic fields travel together and later bridge into optics.
Best first concepts
The topic page keeps these starts in their own compact row so the first screen is about orientation and next action, not stacked feature cards.
See how current direction, wire spacing, distance, and superposition set the magnetic field around one or two long straight wires, with the stage arrows and scan graphs tied to the same live source pattern.
Fields around current
Strong first stop for getting into this topic without scanning the whole library.
See what each Maxwell equation says physically, how sources and circulation differ, and why changing electric and magnetic fields together unify electricity, magnetism, and light.
Field synthesis
Strong first stop for getting into this topic without scanning the whole library.
Related guided tracks
These tracks stay tied to the same shared concept pages and progress model. They are surfaced here either because the authored path meaningfully overlaps this topic page or because the topic catalog marks the track as useful preparation for this branch.
Start with source charges and voltage, then carry that same circuit story into current, power, branch behavior, and equivalent resistance.
Track progress
0 / 8 moments complete
0 / 6 concepts and 0 / 2 checkpoints cleared.
Electric Fields opens this track and sets up the rest of the path.
Start with current-made magnetic fields, turn changing flux into induced emf with Faraday and Lenz, and then reuse that same field direction story to explain magnetic force on charges and currents.
Track progress
0 / 6 moments complete
0 / 3 concepts and 0 / 3 checkpoints cleared.
Magnetic Fields opens this track and sets up the rest of the path.
Specific learning goals
These goal cards stay authored and transparent. They reuse the current topic page, starter tracks, guided collections, concept bundles, and progress cues instead of adding a separate recommendation system on top of this branch.
Use the electricity route, the existing electricity-to-magnetism bridge collection, and the magnetic starter track so the transition into electromagnetism stays bounded and transparent.
Primary move
Start Electricity
Electricity is the authored prerequisite for Magnetism. Electric Fields opens this track and sets up the rest of the path. Nothing is hard-gated here; this is simply the authored prep path.
Entry diagnostic
Start from the opening step
No saved diagnostic checks are available yet, so the opening step is still the best entry into the collection.
Reuses the guided collection entry for Electricity to Magnetism Bridge, with 0 of 2 probes already ready.
Recommended prep
Electricity is the authored prerequisite for Magnetism. Electric Fields opens this track and sets up the rest of the path.
No saved progress yet inside Electricity.
Reopen the electricity track in recap mode is the next guided collection step.
Magnetic Fields opens this track and sets up the rest of the path.
No saved progress yet for Maxwell's Equations Synthesis.
Grouped concept overview
Each group is authored in the topic catalog, but the actual concepts, progress badges, and track cues still come from the canonical concept metadata and shared progress model.
Group 01
Start with the circular magnetic pattern around current-carrying wires so the right-hand-rule story is attached to one live source before anything changes in time.
See how current direction, wire spacing, distance, and superposition set the magnetic field around one or two long straight wires, with the stage arrows and scan graphs tied to the same live source pattern.
Fields around current
Strong first stop for getting into this topic without scanning the whole library.
Built for quick scanning, filtering, and direct access.
Open conceptGroup 02
Once the field direction is trustworthy, use it two ways: changing flux linkage to create induced emf, and a steady field to bend moving charges or push a current segment.
Track one magnet passing one coil and see how changing magnetic flux linkage creates induced emf while Lenz's law fixes the response direction, with the stage, galvanometer, and graphs all driven by the same bounded motion.
Flux and induced emf
Built for quick scanning, filtering, and direct access.
Open conceptLaunch one moving charge through a uniform magnetic field, compare it with a same-direction current segment, and connect force direction, curvature, and current-based force on one bounded live stage.
Magnetic force and motion
Built for quick scanning, filtering, and direct access.
Open conceptGroup 03
Keep the source laws and circulation laws on one compact page before you ask the changing-field pair to support a light-like bridge.
See what each Maxwell equation says physically, how sources and circulation differ, and why changing electric and magnetic fields together unify electricity, magnetism, and light.
Field synthesis
Strong first stop for getting into this topic without scanning the whole library.
Built for quick scanning, filtering, and direct access.
Open conceptGroup 04
After the synthesis page makes the changing-field handoff explicit, reuse that same pair in the propagation case where electric and magnetic fields travel together and point toward the optics branch.
See how changing electric and magnetic fields travel together as one rightward wave, with the local field pair, source-to-probe delay, and propagation cue all tied to the same compact live stage.
Changing fields and propagation
Built for quick scanning, filtering, and direct access.
Open concept