Try it in class
- Predict the path or reading before pressing Run.
-
Change one variable. Launch another particle or move the probe.
- Capture readings and use the graph or kept traces to compare.
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Explain the result using the field direction, charge and force.
Working on the bench
Drag an object to move it independently. Select a launcher and drag
its direction handle. Drag either ruler endpoint. Use Edit for precise
positions, strengths, speeds and directions. Measurements use world
coordinates, so zooming never changes a reading.
Space: Run/Pause · L: Launch · C: Capture · arrows: move selection ·
Shift + arrows: fine move · Delete: remove · Escape: cancel placement
· [ / ]: select previous/next object. These shortcuts apply when the
bench is focused.
Reading the science
Front view shows x and y; z points towards you. Top view shows x and
z. A dot means B towards you; a cross means B away. Blue arrows show
velocity, amber arrows force. Particle dots and source radii are
enlarged for teaching. Traces grow from calculated motion.
Alpha particles have +2e charge; β− is an electron and β+ is a
positron. Their masses differ greatly. Changing particle species
affects new launches. Existing particles retain their own
properties.
Model assumptions
Three-dimensional relativistic test-particle motion follows F = q(E
+ v × B). Fixed sources superpose. Particles do not interact with
one another or recoil against apparatus. Source charges are finite
spherical shells. Plates have sharp ends, no fringing and infinite
depth; potential outside their longitudinal span is unavailable. B
regions also have sharp boundaries and infinite depth. Bar magnets
use a smooth dipole approximation; wires are long straight
uniform-current cylinders.
Sources and apparatus can be repositioned live. These manual edits
are quasi-static: they do not model induced electric fields from
moving magnets, radiation or mechanical work on sources. Use the
transformer workspace for time-dependent induction. Plates, source
spheres, slits and detector screens intercept flights; the open
bench ends at ±1 m in each coordinate.
The transformer solves a common-flux linear core and resistive
circuits. Steady DC gives no secondary emf; switch-on and switch-off
do. This model omits saturation and heating and is a conceptual
demonstration, not a transformer design calculator. Changing turns
during a run is an idealised parameter edit.
Measurements & saving
The first field probe supplies the main E/B/potential readings; each
additional probe labels its own tip. The main particle and graph
show the most recently launched particle. Detector counts include
all contacts. Ruler length is 3D; the protractor measures an angle
in the displayed view. CSV contains SI values, full settings and
live edits. Save setup preserves apparatus and transformer settings,
not flights or notebook readings.
Keep trace stores the current trajectories as grey dashed
comparisons. Restart clears flights, counts and live graph, while
retaining apparatus, comparisons and captured readings. Clear traces
removes paths without changing the motion. Undo/redo are available
while paused and edit apparatus without rewinding time.
Physics & inspiration
OpenStax: magnetic forces and motion
·
OpenStax: transformers
·
PhET: Charges and Fields. Original PhysicsUK implementation and artwork.