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DSE Physics: Electromagnetic Induction and Transformers Prep Guide (for tutors) | Flux, induced EMF and turns ratio

DSE Physics: Electromagnetic Induction and Transformers Prep Guide (for tutors) | Flux, induced EMF and turns ratio

  • 2026-11-02

Students can recite that a changing magnetic field makes electricity, then freeze when a coil rotates or a transformer appears. This lesson uses three formulas only: flux equals BA cos theta, EMF equals N times change in flux over time, and Vp over Vs equals Np over Ns.

Objectives — Students can: (1) compute magnetic flux from field, area and angle, then induced EMF from the rate of change and the number of turns; (2) use Lenz law to state the direction of the induced current and link it to energy conservation; (3) compute secondary voltage and current from the turns ratio and explain why high-voltage transmission cuts power loss.

01 Prerequisites (3-minute check)

If any of these fails, fix it before the lesson starts.

Skill Quick check Pass mark
Magnetic field What field-line spacing shows Field strength
Percentages A fall from 40 percent to zero Forty percent
Power How to use P equals VI A 100 W lamp at 220 V draws 0.45 A

02 Lesson flow (60 minutes)

Time Stage Tutor does Student does
0-10 min Magnetic flux Field, area and angle into one formula Get 0.0050 Wb
10-22 min Induced EMF Rate of change times turns Get 20 V
22-34 min Lenz law Oppose the change, then find the current Top of coil becomes a north pole
34-44 min AC generator Flux and its rate of change are out of phase Say when EMF peaks
44-56 min Transformers and transmission Turns ratio, constant power, I squared R Get 11 V and 5,000 W
56-60 min Exit check Collect three questions and mark live All three right

03 Teaching script (read it out)

Scene 1: Flux measures what passes through, not what is nearby

Flux equals B times A times cos theta, where theta is the angle between the field and the normal to the coil.
With B equal to 0.5 T, A equal to 0.02 square metres and theta equal to 60 degrees, cos theta is 0.5, so flux is 0.0050 Wb.
When the coil lies parallel to the field, theta is 90 degrees and flux is zero; flux is largest when the coil is perpendicular to the field.
Induced EMF depends only on the rate of change: EMF equals N times change in flux divided by time. With 200 turns, area 0.05 square metres and B falling from 0.4 T to zero in 0.2 s, the change in flux is 0.020 Wb and the EMF is 20 V.
A steady field gives zero EMF no matter how strong it is.

Ask the student: what is the flux when the coil is parallel to the field (zero).

Scene 2: Lenz law is energy conservation in disguise

The induced current always creates a field that opposes the change in flux: pushing a north pole in makes the top of the coil a north pole; pulling it out makes the top a south pole.
So the current reverses between pushing in and pulling out, and work is needed both ways, turning mechanical energy into electrical energy.
In an AC generator, flux is zero when the coil is parallel to the field but the rate of change is greatest, so the EMF peaks there; when the coil is perpendicular, flux is greatest and the EMF is zero.
Peak flux and peak EMF never happen together, and that phase difference is the most examined trap.

Ask the student: is the current the same direction when the magnet goes in and comes out (no, it reverses).

Scene 3: A transformer changes voltage and current, never power

For an ideal transformer, Vp over Vs equals Np over Ns, which also equals Is over Ip, and Vp times Ip equals Vs times Is.
With 1000 turns against 50, the ratio is 20 to 1, so 220 V in gives 11 V out.
On a 100 W load the secondary current is 100 divided by 11, that is 9.1 A, while the primary current is 100 divided by 220, that is 0.45 A.
For transmission, sending 11,000 W at 220 V needs 50 A, and with 2.0 ohm cables the loss is 5,000 W; at 11 kV the current is 1 A and the loss only 2 W.
Step-up transmission exists to shrink the current, not to serve the customer.

Ask the student: does stepping up make the current larger or smaller (smaller).

04 Question types and worked steps

Type Example Steps Answer
Calculation Magnetic flux Flux equals B A cos theta, angle measured from the normal 0.0050 Wb
Calculation Induced EMF EMF equals N times change in flux over time 20 V
Explanation Lenz law direction Oppose the change first, then use the right-hand grip rule Opposite for insertion and removal
Calculation Transformer voltage and current Vp over Vs equals Np over Ns and power is constant 11 V and 9.1 A
Sanity check (teach this): Flux is measured in webers, that is tesla times square metre; EMF depends on the rate of change, so a steady field gives zero.
Theta is measured from the normal, and cos 90 degrees is zero, so never use the angle between the coil plane and the field.
An ideal transformer keeps power constant: a 20-fold voltage rise means a 20-fold current fall.
Real transformers lose energy to copper heating and eddy currents, so only a question that says ideal allows the clean formula.

05 Independent practice (3 questions)

Question Answer What to watch
Flux when B is 0.5 T, A is 0.02 square metres and theta is 60 degrees 0.0050 Wb BA cos theta with cos 60 equal to 0.5
EMF for 200 turns with flux change 0.020 Wb in 0.2 s 20 V N times change in flux over time
Secondary voltage for 1000 to 50 turns at 220 V 11 V 220 times 50 over 1000

06 Common mistakes and what to say

Mistake Student writes Say this
Assuming a field alone makes EMF A coil in a magnetic field has electricity If flux does not change, the rate is zero and so is the EMF.
Using the wrong angle The coil is parallel to the field so flux is largest Theta is from the normal; parallel means 90 degrees and zero flux.
Expecting a transformer to boost power Stepping up raises the power too Ideal transformers keep power constant, so voltage up means current down.
Guessing the current direction The current is clockwise, with no reason State what Lenz law opposes, then apply the grip rule.

07 Homework (paper, section and question numbers)

08 Exit check (last 5 minutes)

Question Answer Decision
Flux when B is 0.5 T, A is 0.02 and theta is 60 degrees 0.0050 Wb All three right: move to AC circuits
EMF for 200 turns and flux change 0.020 Wb in 0.2 s 20 V One wrong: recompute the rate
Secondary voltage for 1000 to 50 at 220 V 11 V Two wrong: back to act three

09 Tutor FAQ

Do students need to memorise the formulas?

Three matter: flux equals BA cos theta, EMF equals N times rate of flux change, and Vp over Vs equals Np over Ns; the rest follows from energy conservation.

Why teach high-voltage transmission?

It is the I squared R application: ten times the voltage means a tenth of the current and a hundredth of the loss.

Can Lenz law be taught as direction only?

Link it to energy: pushing the magnet in takes work, so the induced field must oppose the motion.

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