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BLD-ELEC05-02 · Lesson 6 · 20 clock hours · demo

Magnetism and Electromagnetic Induction

Objective. Students will explain how a changing magnetic field induces a voltage in a conductor, describe the relationship between the number of turns, core material, and induced EMF, and identify the principle underlying transformer and generator operation.

Magnetism and Electromagnetic Induction

Electricity and magnetism are two sides of the same coin. Every generator producing power for a building and every transformer stepping voltage up or down operates because of one fundamental truth: a changing magnetic field can create voltage in a conductor. Understanding this relationship is essential for any electrician working with AC systems, motors, or power distribution equipment.

Magnetic Fields and Flux

A magnet produces an invisible field of force around itself. We describe this field using imaginary lines called magnetic flux lines. These lines leave the north pole of a magnet, arc through the surrounding space, and return to the south pole. The total number of flux lines in a region is called magnetic flux (symbol: Φ, pronounced "phi"). The denser the flux lines in a given area, the stronger the magnetic field at that point.

When a conductor — such as a loop of wire — sits inside a magnetic field, no voltage is produced as long as the field is steady. Voltage only appears when the flux through the conductor changes. That change can happen by moving the magnet, moving the conductor, or varying the current that creates the field in the first place.

Faraday's Law

Michael Faraday established in the 1830s that the voltage induced in a coil is directly proportional to (1) the rate of change of the magnetic flux and (2) the number of turns in the coil. More turns mean more of the changing flux cuts through wire, adding up the individual small voltages turn by turn. A coil with 200 turns cutting the same changing flux will produce twice the EMF of a 100-turn coil. The induced voltage is called electromotive force, or EMF (symbol: E or ε).

Faraday's Law in plain terms: EMF = N × (rate of change of flux). You do not need to calculate the exact rate of change here, but you must remember the two variables — number of turns and how fast the flux changes.

Lenz's Law

Faraday tells us the magnitude of the induced EMF; Lenz's Law tells us its direction. Lenz's Law states that the induced current always flows in a direction that opposes the change that caused it. Think of it as nature pushing back. When you push a magnet into a coil, the coil responds by generating a magnetic field that repels the incoming magnet. Pull the magnet out, and the coil tries to attract it back. This opposition is why generators require mechanical energy input — you must do work against the opposing magnetic force to keep current flowing.

The direction of galvanometer needle deflection reverses when you reverse the magnet's motion. You will observe this directly in today's demonstration.

Core Material and Its Effect

Passing flux through iron or steel instead of air concentrates the field dramatically. A ferromagnetic core inside a coil guides and intensifies flux, increasing the induced EMF for the same magnet motion or AC current. This is why transformers use laminated steel cores rather than air cores: more flux linkage means more efficient voltage transfer with less energy loss. The laminations (thin steel sheets) reduce energy losses caused by circulating eddy currents inside the core.

Transformers

A transformer uses electromagnetic induction to transfer electrical energy between two coils — primary and secondary — that share a common iron core. AC on the primary coil constantly changes direction, so the flux through the core is always changing, always inducing voltage in the secondary coil.

The voltage ratio between primary and secondary equals the turns ratio:

Vp / Vs = Np / Ns

A step-down transformer has fewer turns on the secondary than the primary, so secondary voltage is lower. A step-up transformer has more secondary turns, producing higher voltage. Ideal transformers also obey the power rule: power in equals power out (Vp × Ip = Vs × Is), meaning that when voltage steps down, current steps up proportionally.

Generators

A generator uses the same induction principle in reverse. Instead of using changing current to create changing flux, a generator rotates a conductor (or a magnet) so that conductors continuously cut through magnetic flux lines, inducing a continuous AC EMF. The output voltage depends on flux strength, the number of conductor turns, and the speed of rotation. Every large generator in a power plant and every portable job-site generator works on this principle.

Safety Notes

During today's demonstration, the instructor will use a 120 V AC source for the transformer portion. Stay behind the safety boundary marked at the bench. Do not reach across energized terminals. The variac (variable autotransformer) allows voltage adjustment — it must be set to zero before any connection is changed. Treat every energized conductor as live until confirmed de-energized and locked out per LOTO (Lockout/Tagout) procedures. Wear safety glasses whenever working near electrical equipment, as arc flash and component failure are always possible, even at low voltages. The galvanometer portion uses no mains voltage and is safe to handle, but ask before touching any connection the instructor has set up.

Key terms8

Magnetic Flux (Φ)The total number of magnetic field lines passing through a given area; measured in webers (Wb). A changing flux induces voltage in a nearby conductor.
Electromagnetic InductionThe process by which a changing magnetic field generates (induces) a voltage — and therefore a current — in a conductor.
EMF (Electromotive Force)The voltage produced by electromagnetic induction; the 'pressure' that drives current through a circuit as a result of changing magnetic flux.
Faraday's LawThe principle that the induced EMF in a coil is proportional to the number of turns and the rate at which magnetic flux changes through those turns.
Lenz's LawThe rule that the direction of an induced current is always such that it opposes the change in magnetic flux that caused it, consistent with conservation of energy.
Turns RatioThe ratio of the number of turns on the primary coil to the number of turns on the secondary coil in a transformer; determines the voltage step-up or step-down ratio.
TransformerAn electromagnetic device that uses induction through a shared iron core to transfer AC electrical energy between two coils at different voltages.
Ferromagnetic CoreA core made of iron or steel that concentrates magnetic flux inside a coil or transformer, greatly increasing efficiency and induced EMF compared with an air core.

Worked examples4

1. A step-down transformer has 480 turns on the primary and 40 turns on the secondary. The primary is connected to 120 V AC. What is the secondary voltage?
  1. Step 1 — Write the turns-ratio formula: Vp / Vs = Np / Ns
  2. Step 2 — Substitute known values: 120 / Vs = 480 / 40
  3. Step 3 — Simplify the right side: 480 / 40 = 12, so 120 / Vs = 12
  4. Step 4 — Solve for Vs: Vs = 120 / 12 = 10 V
Answer: The secondary voltage is 10 V AC.
2. A transformer is marked '120 V primary, 24 V secondary.' A technician measures the secondary at 23.5 V. Is this within the ±5% acceptance window used in this lesson?
  1. Step 1 — Calculate 5% of the expected value: 0.05 × 24 = 1.2 V
  2. Step 2 — Find the acceptable range: 24 − 1.2 = 22.8 V (low) and 24 + 1.2 = 25.2 V (high)
  3. Step 3 — Compare the measured value: 23.5 V falls between 22.8 V and 25.2 V
  4. Step 4 — State the conclusion: the measurement is within ±5% of the expected value.
Answer: Yes, 23.5 V is within the ±5% window (22.8 V to 25.2 V), so the result is acceptable.
3. A step-up transformer has a turns ratio of Np:Ns = 1:5. If the primary voltage is 120 V, what is the secondary voltage? If the primary current is 10 A, what is the ideal secondary current?
  1. Step 1 — Find secondary voltage using Vp / Vs = Np / Ns: 120 / Vs = 1 / 5, so Vs = 120 × 5 = 600 V
  2. Step 2 — Apply the ideal power relationship: Vp × Ip = Vs × Is
  3. Step 3 — Substitute: 120 × 10 = 600 × Is → 1200 = 600 × Is
  4. Step 4 — Solve for Is: Is = 1200 / 600 = 2 A
Answer: Secondary voltage is 600 V; secondary current is 2 A. Voltage stepped up by a factor of 5, current stepped down by the same factor.
4. A coil with 50 turns produces 5 V EMF when a magnet moves through it at a certain speed. A second coil with 200 turns is placed in the same changing flux at the same rate. What EMF does the second coil produce?
  1. Step 1 — Recall Faraday's Law: EMF is proportional to the number of turns (N) when the rate of flux change is the same.
  2. Step 2 — Find the EMF per turn for the first coil: 5 V / 50 turns = 0.1 V per turn
  3. Step 3 — Multiply by the number of turns in the second coil: 0.1 V/turn × 200 turns = 20 V
  4. Step 4 — State the answer: the second coil produces 20 V EMF.
Answer: The second coil produces 20 V EMF — four times the first coil because it has four times as many turns.

The math in this lesson2

Learners apply transformer turns ratios to find secondary voltage and current and check readings against ±5%.
6.RP.3A-CED.4
Brush up in the math halls at newSchoolWorks.com:
In class: Instructor demonstration: move a permanent magnet through a coil connected to an analog galvanometer; students sketch flux lines, note needle deflection direction with approach vs. withdrawal, and record observations. · Transformer turns-ratio demonstration: instructor connects a step-down transformer to a 120 V source (primary) and measures secondary voltage; students calculate expected secondary voltage from the marked turns ratio and compare to measured value. · Concept-mapping activity: individually, students create a one-page diagram linking the terms magnetic flux, Faraday's Law, Lenz's Law, EMF, transformer, and generator with arrows and one-sentence explanations of each link.
Materials: Permanent bar magnets; demonstration solenoid coils (various turn counts); analog galvanometer; small step-down demonstration transformer; AC variac; digital multimeter; concept-map template; NCCER Level 1 textbook
Check: Concept map graded against an instructor rubric: all six terms present, all relationships correctly explained, 80% of connection statements accurate. Transformer voltage calculation within ±5% of measured value.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

NCCER Electrical Level 1 — DC/AC Theory
1. According to Faraday's Law, which TWO factors directly determine the magnitude of the induced EMF in a coil?
NCCER Electrical Level 1 — DC/AC Theory
2. When a bar magnet is withdrawn from a solenoid coil connected to a galvanometer, the galvanometer needle deflects to the right. When the same magnet is pushed back into the coil at the same speed, which observation is expected?
NCCER Electrical Level 1 — DC/AC Theory
3. A transformer has 960 turns on the primary and 80 turns on the secondary. If the primary voltage is 120 V, what is the secondary voltage?
NCCER Electrical Level 1 — DC/AC Theory
4. Why does a transformer use a laminated steel core rather than a solid steel core?
NCCER Electrical Level 1 — DC/AC Theory
5. Lenz's Law is best described as the principle that induced current always:
NCCER Electrical Level 1 — DC/AC Theory
6. An ideal step-down transformer has a primary voltage of 240 V and a secondary voltage of 24 V. If the secondary current is 5 A, what is the primary current?
OSHA 10 — Electrical Hazards and Lockout/Tagout
7. Which safety requirement applies before changing any connection on an energized 120 V AC transformer demonstration circuit?
NCCER Electrical Level 1 — DC/AC Theory
8. A coil with 100 turns induces 8 V when a magnet moves through it at a constant speed. If the number of turns is increased to 400 while the magnet moves at the same speed, what is the new induced EMF?
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