Physics IA · D · Fields · topic 25 of 30

Magnet in a copper tube: how slow is its fall? · IB Physics IA idea: guide, sample graph and step-by-step plan

looks like magic, needs real analysis

Drop a magnet down a plastic tube and it's gone in a flash. Drop it down copper and it drifts. Your job is to put numbers on that drift.

Difficulty●●○ Medium
KitBasic: copper tube, magnet, phone for slow-motion video
TimeAbout 10 hours
FitsHL (induction is HL only); SL with extra reading
  • ✓ you like a result that looks like magic
  • ✓ you can film and analyse video frame by frame
  • ✓ you enjoy explaining *why* with a proper model

The big idea

← terminal speed is your number

As the magnet falls, the changing flux drives eddy currents in the copper. By Lenz's law their field opposes the motion, so there is a drag force that grows with speed. The magnet speeds up, then reaches a terminal speed where drag equals weight. A graph of distance against time should curve at the start, then become a straight line. Change one thing (the magnet, the wall thickness, the mass, the metal) and find how the terminal speed responds.

Make it yours: pick one twist

Copying a classic won't show your choices. Pick one of these (or invent your own) and your IA becomes yours.

Swipe for more twists →

Add mass to the magnet

Attach non-magnetic weights (brass or plastic) so the total mass changes while the magnet stays the same.

→ If the drag is proportional to speed, terminal speed should be proportional to the total weight: a clean quantitative test.
Change the wall thickness

Tubes of the same metal and bore but different wall thickness.

→ Tests how the amount of conductor affects the drag. Make sure the bore is the same, or you change the gap to the magnet too.
Compare metals

Copper, aluminium and brass tubes of the same size.

→ Terminal speed depends on conductivity; link your results to resistivity values and discuss the order.
Change the temperature

Cool the tube in a freezer or warm it in a water bath (dry it carefully).

→ Resistivity depends on temperature, so does the drag. A small effect that needs good timing.
Stack magnets

Two, three and four identical magnets stacked.

→ Both the field and the mass change, so the analysis must handle two effects; a stretch.
Time with video, not hands

Film at the highest frame rate you have and track position against time.

→ Small timing uncertainty and a full distance-time graph, so you can fit the early acceleration and the terminal speed.

Your Physics IA research question: run the check

write it FIRST, then check it

Write your own question first. Then make sure it ticks every box:

  • Names one independent variable with its range (which masses, tubes, magnets or temperatures, and how many values).
  • Names the dependent variable and how you will get it (terminal speed from a distance-time graph, not a hand-timed total).
  • Says what stays fixed: the tube, the release point and the section of tube you measure.
  • Says what you will compare with (free fall, a drag model, or a trend you predict from theory).
  • Is narrow enough for about 10 hours, with at least 5 values and repeats.

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The set-up

A phone on a stand, square to the tube, films the fall past marks a known distance apart. Draw your own version with real distances.

scopper tube,held verticalstrong magnet: itmust not rub the wallmarks a knowndistance apartfoam padfilm in slow motion

How your Physics IA could be laid out

The usual order for a topic like this, what each part needs to show, and roughly how much of your 3,000 words it takes. The words are all yours.

Research question and context~250
Your question, why eddy-current braking matters (trains, rides, induction cooktops) and what you expect.
Background physics~450
Flux, Faraday's and Lenz's laws, eddy currents, the idea of terminal speed, and the free-fall comparison.
Variablestable
Independent, dependent and controlled variables, including the release height and the tube section used.
Method~400
How you hold the tube vertical, release the magnet, film it, and read times from the video; how you stop the magnet touching the wall.
Safety, ethics, environment~70
Strong magnets (pinching, swallowing, electronics), the magnet landing on a foot, sharp tube edges.
Raw datatable
Frame times or positions from the video with resolution and frame rate stated.
Processing~250
How you got speeds and their uncertainties; one worked example for each type of calculation.
Graphs and analysis~400
Distance against time for a run, then terminal speed against your independent variable with error bars.
Conclusion~400
How terminal speed depends on your variable, with numbers, and how it compares with free fall and with a drag model.
Evaluation~650, the biggest part!
Weaknesses ranked by effect on the terminal speed, linked to specific improvements.
Referencesnot counted
Sources for the theory and the material data.

What your Physics IA graph could look like

find where the line goes straight

Made-up data, to show the form of a strong graph, not the answer. Yours will look different. example only

0.00.51.01.52.02.53.03.54.04.55.00.00.10.20.30.40.50.6Time t / s (± 0.03 s)Distance fallen s / m (± 5 mm)eddy-current drag modelfree fall, s = ½gt²your data, with error barsa straight line means constant speed:the gradient is the terminal speedILLUSTRATIVE · MADE-UP DATA
  • A constant-speed section is a straight line: you read the terminal speed from its gradient, with best and worst lines.
  • Free fall is drawn for comparison. The magnet is far from it almost immediately, which is the whole point.
  • Error bars on both axes. The timing uncertainty is a frame, so its size depends on your frame rate.
  • With strong drag the acceleration phase is very short (here it is over in a few millimetres), so use your video to show where the straight part begins rather than assuming it.
  • Another graph to consider: terminal speed against your independent variable (mass, wall thickness), with each point from its own distance-time graph.

Which uncertainty matters most?

Rank by the effect on your result, here the terminal speed from a 300 mm section. It is often the timing method, not the equipment, that decides the quality.

Hand timing (±0.2 s in 2.5 s)8%Video frame (±0.033 s)1.3%Position marks (±2 mm)0.7%biggest effect: discuss this first!% uncertainty in terminal speed over a 300 mm sectionILLUSTRATIVE · MADE-UP NUMBERS

Your game plan

film the trial run: it teaches you a lot

Tick steps off as you go. We'll remember on this device.

0 of 10 done

  1. Read and predictRead about eddy currents and Lenz's law. Sketch the distance-time graph you expect and say where the straight part starts.
  2. Trial run (1 lesson)Drop the magnet down the tube and film it. Does it touch the wall? Where does it reach constant speed? Can you read frames clearly? Fix these now.
  3. Choose the independent variablePick one thing to change and one way to change it. Check by trial that the effect is big enough to measure.
  4. Choose a section and a methodDecide which section of the tube you measure, the frame rate, and the number of repeats. Write down your reasons.
  5. Collect the dataFilm each run with a scale in view. Note anything odd (tilt, a touch on the wall, a warm tube) as it happens.
  6. ProcessRead positions and times from the video, find the speed in the straight section and its uncertainty, and keep the method the same for every run.
  7. Graph and fitPlot terminal speed against your variable with error bars. Decide whether the trend is linear, a power law or something else, and why.
  8. Compare with theoryHow does your result compare with free fall and with the trend a drag model predicts? What does it tell you about how drag depends on speed?
  9. EvaluateRank the uncertainties and systematic errors by effect on your result and link each improvement to a specific weakness.
  10. Check before your teacher's draftRun the checklist above, then get your RQ or draft checked. Your teacher reads one draft only.

Physics you'll need

Traps to avoid in this Physics IA

  • Timing the whole fall by hand: reaction time is bigger than the effects you are comparing.
  • A magnet that touches or tilts against the wall, so friction is mixed with magnetic drag.
  • Averaging over the first part of the fall, where the magnet is still accelerating.
  • No plastic or non-metal tube as a control, so you cannot show the effect is magnetic.
  • Changing two things at once (a thicker tube with a different bore, or a stronger magnet that is also heavier).
  • Assuming linear drag without testing it.

More Physics IA ideas like this

Make sure it's yours

This guide shows how a topic like this is usually approached. It is not an IA. Your question, choices, data, analysis and words must be your own: change something, tell your teacher where the idea came from, and follow your school's rules on outside help.

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