Three Identical Bulbs, One Ammeter, and 24 Students Who Already 'Know' the Answer
Mr. Bilal sets up a series circuit with a 6 V battery and three identical bulbs in front of his Grade 9 class of 32 students. Before closing the switch he asks them to predict which bulb will be brightest. Twenty-four students predict the first bulb, arguing that 'the current gets used up as it goes round, so the last one gets the least'. When the circuit is closed all three glow equally. Several students insist the first bulb still looks brighter, and one asks whether the bulbs would be brighter if the battery were connected at the other end of the loop. The class has one more 40-minute period this week, exactly one ammeter, no extra apparatus, and a topic test in which series circuits carry 8 of 30 marks.
1. Diagnose the reasoning behind the prediction and explain why showing the glowing circuit is unlikely to change it.
Read the worked answer
The model behind the prediction. Students are running a 'sequential consumption' model: current is treated as a substance carried by the wire that gets deposited in each component, like fuel being used. It is a rational generalisation from everyday language ('using up the battery') and from fairy lights where a break anywhere kills the whole chain.
Why the demonstration fails on its own:
- The evidence is perceptually ambiguous. Three incandescent bulbs can differ slightly in manufacture, and room lighting varies across the board. 'The first still looks brighter' is a rationalisation the evidence cannot block.
- The students already predicted before observing, and nothing recorded that prediction. Without a written commitment they can quietly adjust and feel no conflict.
- Their prior belief is well-rehearsed and observation is weak and single-shot; under those conditions prior belief wins - this is the standard outcome, not a sign of a weak class.
What is actually needed: a test that is a number, not a judgement of brightness, and a situation where the consumption model makes a firm wrong prediction the students themselves have stated.
2. Design a 15-minute sequence using the single ammeter that makes the invariance of current visible and forces the conflict.
Read the worked answer
1 (3 min) - Commit the prediction in writing. A three-column table on the board: I before bulb 1 / I between 1 and 2 / I after bulb 3. Every student writes their predicted values in their notebook. This is what was missing last lesson.
2 (4 min) - Measure in three places. Insert the ammeter before bulb 1, then between 1 and 2, then after bulb 3. Students read the same value each time and record it. Then physically move the battery to the other end of the loop and repeat: readings and brightness are unchanged, which disposes of 'position matters'.
3 (3 min) - The removal test. Unscrew bulb 2 and replace it with a plain wire. The remaining two bulbs brighten, and the ammeter reading rises.
Elicit the inference and write it on the board: if current were used up, removing a bulb could not make the first bulb brighter - but it does. The consumption model predicts no change; the observation contradicts it. The refutation comes from their own prediction, not from the teacher's assertion.
4 (5 min) - Exit ticket. One sentence: what does the ammeter say about current at three points, and what did the removal test prove?
Note on the correct model at this level: charge is not consumed; current is the same at every point in a series loop, while energy per charge falls across each bulb.
3. Write one 3-mark test item that separates a student holding the misconception from one who does not, and state what each response would reveal.
Read the worked answer
Item. A 6 V battery, three identical bulbs and an ammeter are connected in series. The ammeter placed between the battery and bulb 1 reads 0.3 A. (a) What will an ammeter read between bulb 2 and bulb 3? Give a reason. (1 + 1 marks) (b) Bulb 2 is removed and replaced by a plain wire. State what happens to the brightness of bulb 1 and to the ammeter reading, and explain why. (1 mark)
Marking. (a) 0.3 A, with a reason referring to the same path / no charge being lost. (b) Bulb 1 becomes brighter and the reading rises; total resistance has fallen.
What the responses reveal.
- Misconception held: (a) a smaller value, or 'almost 0.3 A because some is used before bulb 3'; (b) either 'no change - the first bulb already got its share' or 'bulb 1 goes dimmer because more bulbs means more current'. Both are the consumption model speaking.
- Model correct: 0.3 A in (a) with a path-based reason; brightening plus a rising reading in (b).
Why part (b) is essential. Part (a) alone can be answered by pattern-matching 'series = same current' from a formula sheet. Part (b) requires a causal model, and the misconception makes a firm, opposite prediction.