← All modulesCore Electrics · Module 1 · Day 1 · 14/09/2026
Basic Electrics
Study notes from the Day 1 webinars: the morning course intro and basic electrics, and the afternoon session on circuits, magnetism, transformers, the grid and three-phase. Diagrams are redrawn from the whiteboard, and worked examples use the same numbers as the sessions.
Free, unofficial community notes · latest version at sparky-study-notes.netlify.app
AM
Short intro and basic electrics
01The course and what you need
The route through the course, in order:
Attend 14 days of online theory training (webinars).
Complete the homework on your portal.
Book your exams at your chosen centre, then take them.
Once all exams are passed, book practical training (weekend or midweek).
Attend 10 days of practical training.
Book and attend 4 days of final practical assessment.
Theory training covers
Basic electrics
Domestic electrical installations
The wiring regulations
In-service inspection and testing of electrical equipment
Initial verification
Condition reporting
Circuit design
Practical training covers
Basic circuit installation
Cable terminations
Consumer unit wiring
In-service inspection and testing
Initial verification of single and 3-phase installations
Condition reporting
Fault finding
Qualifications you receive: Building Regulations (L3) · BS 7671 (L3) · In-service Inspection and Testing of Electrical Equipment (L3) · Fundamental Inspection and Testing (L3) · Initial Verification (L3) · Condition Reporting, periodic inspection and testing (L3).
What they let you do: join a local electrical firm (usually as a trainee at first, because you lack experience), work for yourself, or join an agency and work as a subcontractor. You can work domestically, commercially and industrially.
You will need
Notes
BS 7671
The wiring regulations
On-Site Guide
Electrician's Guide to the Building Regulations
Code of Practice for In-service Inspection and Testing of Electrical Equipment
5th edition
Guidance Note 3
Inspection and testing
Scientific calculator
Casio fx-85GT is recommended
Book marking labels
Tab your books so you can find regulations fast
Exam rules mentioned in the session (check the latest with your course advisor)
Pass mark is about 65% in every section. A high score in one section can't make up for a low one in another.
Portal homework needs 90%.
Results can take up to 7 working days. Resits cost about £50 each.
Five exams: Building Regs, BS 7671 (18th Edition), Fundamental Inspection & Testing, Initial Verification, Periodic (condition reporting).
Open book: Building Regs guide, BS 7671 and the in-service inspection code of practice. Guidance Note 3 is expected for the testing exams. Fundamental I&T is believed to be closed book.
In the books you can highlight, underline and add tabs. You can't write notes or leave sticky notes with writing on them. Your name on the cover is fine.
Bring a non-programmable scientific calculator. Phones aren't allowed, and taking one out gets you disqualified.
There's no formula sheet, so learn your formulas by heart.
Buying books Make sure you have the current editions: the orange BS 7671 and On-Site Guide, and the green-and-orange Electrician's Guide to the Building Regulations. The brown versions are older amendments. Official IET books have a silver hologram sticker, so a suspiciously cheap copy may be fake or missing pages. A set of tabs makes finding regulations much faster.
How to pass Watch each webinar live, ask questions during it, then watch the recording again (recordings go up within about 24 hours). Watch the masterclasses and practical demos, do the mock exams, and learn your way around the books. Use the Tuesday evening Q&A, email your tutor if you're stuck, and study with other students. Sharing notes is encouraged. "The only people who fail are those who gave up."
Timetable: webinars run 9–12 and 1–4. Practical training is 10 days, either two weeks Monday to Friday or five weekends. You can't book practical training until all your exams are passed.
02Voltage
The session opened with a question: what three things make up an electrical circuit? The answer is voltage, current and resistance.
Voltage is the electrical pressure that pushes electricity around a circuit. It is measured in volts, V.
Symbols
V in general formulas. U is how voltage is written in electrical books like BS 7671.
U₀
The UK nominal voltage, 230 V (line to earth).
U
The line-to-line voltage, 400 V (three-phase).
EMF
Electromotive force, the voltage a source produces (battery, generator, transformer winding). Still measured in volts, and written E in formulas. Don't think of it as a force in newtons. It's the push that drives electricity round the circuit.
Potential difference
The difference in voltage between 2 points. For example, 230 V on the line and 0 V on the neutral gives a PD of 230 V.
Waterfall analogy Water at the top of a waterfall has a high potential, and the pool at the bottom a low one. The water only flows because there's a difference and a path between them. Another way to picture it is two cups, one at 230 V and one at 0 V: pour between them and there's a 230 V potential difference. If both cups are at the same level there's no difference, so nothing flows.
Key point: current can only flow when there is a potential difference.
03Current
Current is the flow of electrons through a conductor. It is measured in amperes (amps), A. The symbol in formulas is I, from the old word "intensity". You'll see I everywhere, for example Iₙ for a device's rating, Ib for design current, and IΔn on RCDs and RCBOs.
With no voltage, the electrons in copper just sit there vibrating. Connect a 12 V battery and they're all pushed the same way round the loop, like F1 cars off the start line. A circuit must be a complete loop for current to flow.
Conventional current
Drawn flowing positive → negative. This is the direction everyone assumes on drawings.
Electron flow
What the electrons actually do: negative → positive.
DC
Electrons flow in one direction only. Batteries are always DC.
AC
Electrons flow backwards and forwards. UK mains is AC.
04Resistance and impedance
Resistance
Opposition to current flow. Measured in ohms, Ω. Symbol R.
Impedance
Opposition to current in an AC circuit only (never DC). Symbol Z, also in ohms. It accounts for loads, such as the inductor in a fluorescent fitting, that shift current and voltage out of step. You'll meet Ze and Zs in fault loop impedance testing, and R when testing continuity.
Think of rocks in a stream: the water can't flow straight and fast, so it slows down. Every conductor has resistance, and so do cables, loads and your body. Increase resistance and current goes down, as long as the voltage stays the same.
Best conductors
Why it matters
1. Silver
Lowest resistance, but far too expensive to use in cable
2. Copper
Second best and cheap, so it's what cables use. Aluminium is also used, for example in concentric supply cables.
3. Gold
Doesn't tarnish, so it's used to plate contacts
Low resistance is good in neutrals and earth conductors (CPCs). If there's a fault, enough current has to flow to trip the protective device quickly.
Your body has resistance too, and it's much lower when wet, for example straight out of the shower. That's why wet skin is so dangerous.
A protective device (breaker or fuse) is there to protect the cable from carrying too much current. More current means more heat.
05The basic supply circuit
This diagram came up throughout both sessions. It shows where your 230 V actually comes from.
One end of the supply transformer's winding is the star point, which is connected to earth and held at 0 V. The other end is at 230 V. The line (brown) carries 230 V to the load, and the neutral (blue) returns at 0 V. The full 230 V is dropped across the load.
The star point is where the neutral and earth join at the transformer. From there it goes down into the ground. The electricity doesn't disappear: it's a continuous loop.
The coil in this drawing is the transformer's secondary winding. The secondary side is always star.
A circle with an X is the symbol for a lamp. Lamps are resistive loads.
The symbol with three horizontal lines is earth (ground).
It's called line (it used to be called phase), not "live". Both the line and the neutral are live conductors, and you can get a shock from either.
Cable colours (current UK harmonised): Line = brown · Neutral = blue · Earth (CPC) = green/yellow · on 3-phase: L1 brown, L2 black, L3 grey.
06Ohm's law
Cover the one you want. A line across means divide, side by side means multiply.
The three forms
V = I × R volts = amps × ohms
I = V ÷ R amps = volts ÷ ohms
R = V ÷ I ohms = volts ÷ amps
Learn the formulas, not just the triangle There's no formula sheet in the exam. You can ask for blank paper, but it stays in the room. Write the three formulas out until you know them by heart.
Example 1: find the current
Supply 230 V, lamp resistance 6 Ω
I = V ÷ R = 230 ÷ 6 = 38.33 A
Example 2: find the resistance
Supply 230 V, current measured 12 A
R = V ÷ I = 230 ÷ 12 = 19.17 Ω
Casio fx-85GT tip If 230 ÷ 6 comes up as a fraction (115/3), press the S⇔D button to switch it to a decimal. On other calculators, look for a FORMAT or decimal setting. Get used to your own calculator, because that's the one you'll take into the exam.
A 6 A lighting circuit doesn't mean the lights draw 6 A. They might only draw 2.5 A. The 6 A breaker is sized to protect the cable.
07The power triangle
Power is the rate at which energy is used. It is measured in watts, W, and 1 kW = 1000 W.
P = watts · I = amps · V = volts
The three forms
P = I × V watts = amps × volts
I = P ÷ V amps = watts ÷ volts
V = P ÷ I volts = watts ÷ amps
Example 1: current drawn by a 20 W lamp
I = P ÷ V = 20 ÷ 230 = 0.087 A
→ round to 2 decimal places: 0.09 A (≈ 87 mA)
Example 2: power of a load drawing 16.92 A
P = I × V = 16.92 × 230 = 3891.6 W
= 3.892 kW
Power is used by the loads, not by the cables. To get total power, add up every load. Three 20 W downlights = 60 W.
Work to 2 decimal places. If you round, round properly (0.087 → 0.09). Otherwise use the full number.
Which triangle? Read what the question gives you. Given volts and ohms or amps, or asked for resistance → Ohm's law (V, I, R). Given watts, or asked for power → power triangle (P, I, V).
08Series circuits
In a series circuit the loads are connected one after another in a single path. There's only one route for the current. Fairy lights and old Christmas tree lights are the classic example: when one bulb goes, they all go out.
Electricians don't wire circuits in series. It isn't efficient, one fault kills everything, and if the loads are different they don't all get the same voltage, so they aren't all equally bright.
Worked example from the session
Given: 230 V supply · cables (line + neutral) = 30 Ω
lamps = 5 Ω, 6 Ω, 7 Ω
1) Total resistance (add everything, cables included)
Rt = 30 + 5 + 6 + 7 = 48 Ω
2) Total current (Ohm's law)
I = V ÷ Rt = 230 ÷ 48 = 4.79 A
3) Voltage dropped across each part (V = I × R)
Lamp 1: 4.79 × 5 = 23.95 V
Lamp 2: 4.79 × 6 = 28.74 V
Lamp 3: 4.79 × 7 = 33.53 V → lamps total 86.22 V
Cables: 4.79 × 30 = 143.70 V
Check: 86.22 + 143.70 = 229.92 ≈ 230 V ✓ (Kirchhoff's voltage law)
Picture the voltage being used up 230 V arrives at the first lamp. Suppose it's 10 Ω with 4 A flowing: it uses 4 × 10 = 40 V, leaving 190 V for the rest. A 20 Ω lamp next would use 80 V. Each load takes its share, and the shares always add back up to the supply. If they don't, there's a fault somewhere.
Series rules Current is constant: the same everywhere. Voltage is dropped across each load, and the drops add up to the supply voltage. Rt = R₁ + R₂ + R₃ …Vt = V₁ + V₂ + V₃ … Rt = total resistance · Vt = total (supply) voltage
PM
Basic electrics (continued)
09Series recap: three 12 Ω lamps
The afternoon opened with a practice question using this method: 1. find total resistance → 2. find total current → 3. calculate the voltage dropped across each lamp.
Three 12 Ω lamps in series on 230 V
Rt = 12 + 12 + 12 = 36 Ω
I = V ÷ Rt = 230 ÷ 36 = 6.38 A
V per lamp = I × R = 6.38 × 12 = 76.66 V
Check: 76.66 × 3 ≈ 230 V ✓
When all the loads are the same, you can shortcut: 230 ÷ 3 = 76.67 V each. When they're different, you can't, and you have to do V = I × R for each one.
The tutor put a cross on one lamp. Because there's only one path, a break anywhere, even after the last lamp, stops current to every lamp. That's the big weakness of series wiring, and it's why the circuits in a building are wired in parallel.
Real supplies aren't exactly 230 V The UK supply is allowed to vary by +10% / −6%, so you'll never measure exactly 230 V (or 400 V) at a property. Answers that come out at 229.8 V are fine. That's just rounding.
10Parallel circuits
Each load gets its own connection directly across line and neutral, so each one sees the full 230 V. This is how electricians wire circuits in buildings.
Open circuit
There's a break in the path, so there's no potential difference and no current flows.
Closed circuit
The path is complete, so current can flow.
In parallel, if the cable to one lamp breaks, the other lamps still have their own path to line and neutral, so they stay on. A blown bulb in the bedroom doesn't put out every light in the house.
Every branch has the full 230 V across it. The current splits between the branches, and the lowest resistance takes the most current.
Parallel rules Voltage is constant: every load gets the full supply voltage. Current divides between the branches, and the branch currents add up to the total. 1/Rt = 1/R₁ + 1/R₂ + 1/R₃ … Total resistance is always lower than the lowest resistor. Use that to check your answer.
Worked example: 30 Ω, 15 Ω and 9 Ω in parallel on 230 V
1) Total resistance
1/Rt = 1/30 + 1/15 + 1/9
= 0.0333 + 0.0667 + 0.1111 = 0.2111
Rt = 1 ÷ 0.2111 = 4.74 Ω (lower than 9 Ω ✓)
2) Total current (Ohm's law)
It = V ÷ Rt = 230 ÷ 4.74 = 48.52 A
3) Branch currents (Kirchhoff's current law check)
I₁ = 230 ÷ 30 = 7.67 A
I₂ = 230 ÷ 15 = 15.33 A
I₃ = 230 ÷ 9 = 25.56 A
Total ≈ 48.5 A ✓
Calculator method (fx-85GT) The x⁻¹ key means "1 over". Type 30 x⁻¹ + 15 x⁻¹ + 9 x⁻¹ =. If it shows a fraction, press S⇔D to get 0.2111. That's 1/Rt, not your answer. Press x⁻¹ = again to flip it: 4.74 Ω. Forgetting that last flip is the most common mistake. Keep the full numbers in the calculator until the end, because rounding halfway through gives you answers that are slightly off.
Why "1 over"? The bath analogy There's one bath (the whole circuit). A series circuit is like a single plug hole with more plugs stacked under it, so the water drains slowly. A parallel circuit is like a plug with several holes, so the water has lots of paths out at once. More paths means more flow, which means less total resistance.
Only two resistors? You can use product over sum: Rt = (R₁ × R₂) ÷ (R₁ + R₂). With three or more, use the 1/Rt formula. That's the one the awarding body expects.
A voltmeter is always connected across a load, in parallel with it, because voltage is constant in parallel.
11Power ratings and 4 A per kW
Working out current from an appliance's power rating is how you size protective devices and cables in domestic installations.
How much current does a 10,000 W cooker draw on 230 V?
I = P ÷ V = 10,000 ÷ 230 = 43.48 A
Rule of thumb: at 230 V, 1 kW ≈ 4 A (1000 ÷ 230 = 4.35 A). A 3 kW immersion heater draws about 12–13 A, and a 10 kW cooker about 43 A. It's a good starting point when you work out cable and protective device sizes.
Later in the course this feeds into choosing a cable's CSA (cross-sectional area). That depends on the current, but also on the cable's length and how it's installed.
12Number systems and prefixes
Prefix
Symbol
Multiplier
Means
Example
Tera
T
×10¹²
trillion
Giga
G
×10⁹
thousand million
1 GW = 1,000,000,000 W
Mega
M
×10⁶
million
1 MΩ = 1,000,000 Ω
Kilo
k
×10³
thousand
2 kW = 2000 W
base unit: V, A, Ω, W
milli
m
×10⁻³
thousandth
30 mA = 0.030 A
micro
µ
×10⁻⁶
millionth
1 µA = 0.000001 A
nano
n
×10⁻⁹
thousand-millionth
pico
p
×10⁻¹²
trillionth
This is engineering notation: electricians work in powers of 3, so each step is ×1000. Moving to a bigger prefix makes the number smaller, and moving to a smaller prefix makes it bigger.
Positive power (10⁶): the zeros go before the decimal point, so it's a big number. Negative power (10⁻⁶): the zeros go after the decimal point, so it's a tiny number.
Capital M = mega (million) and small m = milli (thousandth). Mixing them up is a big mistake.
You'll see MΩ when insulation resistance testing, and Ω when continuity testing.
Conversions from the slides
8.4 kW in watts → 8400 W
100 mA in amps → 0.1 A
0.03 A in milliamps → 30 mA
0.5 MΩ in kilo-ohms → 500 kΩ
80 mA in amps → 0.08 A (= 80 × 10⁻³)
Calculator Use the ×10ˣ key. For 80 mA, type 80 ×10ˣ −3. Also, 30 mA is the trip rating of an RCD, so you'll see that number a lot.
13Conductors and insulators
A voltage is put across a circuit or load. Current flows through it.
A conductor is any material that allows current to flow through it. Good conductors (copper, aluminium, most metals) have low resistance.
An insulator is any material that doesn't allow current to flow. Good insulators (plastics, rubber, wood, glass) have very high resistance.
A cable uses both: copper conductors to carry current, and PVC insulation and sheath to keep it where it should be.
14DC and AC
Direct current (DC) flows in one direction at a steady level. The three most common sources:
a battery of cells
a DC generator
electronics, using a rectifier, which converts AC to DC
A battery produces pure DC as long as it has energy left in it.
Alternating current (AC) constantly reverses direction, following a sine wave. The UK mains is AC at 50 Hz, which is 50 complete cycles a second. AC is what the grid generates and what transformers need.
Rectifier
Converts AC → DC. Your phone charger has a small bridge rectifier inside the plug to charge the DC battery from AC mains.
Inverter
Converts DC → AC. Solar panels produce DC, and an inverter turns it into AC for the home.
If DC isn't fully smoothed you get a rectified waveform: humps that stay on one side of zero, because the current never reverses.
15Magnetism and induction
Like poles repel, unlike poles attract. With two N poles together the flux lines push outwards away from each other. With N and S together the flux lines run straight between them, and they attract.
The lines of magnetic flux run from the North pole round the outside into the South pole.
Flux density is the amount of flux in a given area. Lines close together mean a strong field, and lines far apart mean a weak one.
When a conductor carries a current, a magnetic field forms around it. The field is circular and runs the whole length of the conductor. It goes clockwise or anticlockwise depending on the direction of the current. Motors and transformers both rely on this.
Flux lines are invisible. Sprinkle iron filings over a magnet (Faraday's school-physics experiment) and you can see their shape.
Electromagnetism is how UK electricity is made: in a power station, a coil rotates inside magnetic fields, generating at about 25,000 V.
Magnetic induction: how a generator makes AC
Magnetic induction is one of the main sources of EMF. A loop of wire is mechanically rotated between the N and S poles of a magnet. As it cuts the lines of flux, a voltage is induced, which is the electrical output.
The coil starts where no flux is being cut, at 0 V. It rises to a maximum at 90° as it cuts the most flux, back to zero at 180°, to a maximum in the other direction at 270°, and back to zero at 360°. One full turn gives one complete sine wave.
One full turn gives one cycle. At 50 Hz the loop turns 50 times a second, giving 50 cycles and 100 peaks (one each way per cycle).
That's why lights sometimes flicker when you look at them through a phone camera. The camera is catching the 50 Hz cycle.
The peaks at 90° and 270° are current going one way, then back the other way. It isn't "positive then negative electricity".
16Transformers and impedance
A transformer converts an alternating voltage at one level to an alternating voltage at a higher or lower level (step up or step down). It uses mutual induction. A continually changing flux in the primary winding induces a voltage in the secondary winding. That's why a transformer only works on AC: DC doesn't produce a changing flux.
The tutor's example: 50 windings on the primary at 110 V and 25 windings on the secondary gives 55 V. Half the turns means half the voltage, which is a step-down transformer.
Turns ratio
V₁ / V₂ = N₁ / N₂
110 / V₂ = 50 / 25 → V₂ = 55 V
Fewer turns on the secondary means step down, and more turns means step up. You can tell which one a transformer is by comparing the windings.
On drawings, the primary is usually on the left and the secondary on the right.
The two coils never touch. The voltage is induced across through the magnetic field in the core.
The core is laminated (thin lacquered layers) to reduce losses.
Types you'll see: step-up, step-down and isolating transformers. An isolating transformer separates you from earth, so there's no path through your body to earth. A bathroom shaver socket has one inside. You'll also see pole-mounted three-phase transformers, current transformers (CTs), potential transformers, and the big fenced-off "Danger, high voltage" substations near housing estates.
Impedance (Z) is resistance in an AC circuit (in DC it's just called resistance). It's still opposition to current and still measured in ohms. It comes from the resistance of the conductors plus the effect of inductance in the supply transformers. You can swap Z in for R in Ohm's law. Ze = external impedance: the transformer and supply cable up to your property. Zs = total earth fault loop impedance: Ze plus the resistance of the circuit you installed. You'll test this later in the course.
17Generation, transmission and distribution
Generate: fossil fuels or nuclear energy make steam, which drives a turbine and generator at about 25 kV. Solar and hydro are other sources.
Step up to 400 kV (275 kV is also used) to transmit across the country, say from Cornwall to Birmingham. A higher voltage means lower current for the same power, so thinner cables and smaller losses.
Regional transformers step down to 132 kV, then local ones to 33 kV or 11 kV. This is distribution. A big factory might take 11 kV directly.
Step down again for streets: 230 V for domestic, and 400 V for commercial and industrial properties (shops, schools, factories).
Learn these
Voltage
Generation voltage
25 kV
Transmission voltage
400 kV (also 275 kV)
Distribution voltages
132 kV · 33 kV · 11 kV
Supply to buildings
400 V 3-phase · 230 V single-phase
Most houses have a 60, 80 or 100 A main fuse. Transformers only work on AC.
18Three-phase supply, star and delta
A generator has three sets of windings, each creating an EMF set 120° apart. So a three-phase supply is effectively three supplies all rising and falling at different times.
L1 (brown), L2 (black) and L3 (grey) each peak 120° after the one before.
Star: 4 wires (3 lines + neutral). Line to neutral = 230 V, line to line = 400 V.Delta: 3 wires. The distribution transformer's primary is delta and its secondary is star, which gives you a neutral.
The star system produces 230 V and 400 V. 230 V × √3 (1.732) ≈ 400 V.
Single-phase houses on a street are each connected to one line plus neutral, spread across L1, L2 and L3 to keep the load balanced. Any line to neutral = 230 V.
Three-phase commercial and industrial supplies use all three lines. Any line to line = 400 V.
The phases are 120° apart because 360° ÷ 3 = 120°.
Why 400 V and not 460 V (230 + 230)? Two phases never reach their peaks at the same moment. They cross before either one peaks, so the difference between them tops out at 400 V, not double. (415 V is the old figure and no longer used.)
Delta (the primary side) is balanced, with the same current on every line, so it has no neutral and only gives 400 V.
Star (the secondary side) has a neutral. Houses put different loads on each phase, so the phases become unbalanced, and the neutral carries that out-of-balance current back.
Two-phase supplies (two lines plus neutral) exist but are rare, only for very large properties.
19Kirchhoff's laws
Kirchhoff's voltage law (series) The voltage across all the loads must add up to the supply voltage. Vt = V₁ + V₂ + V₃
Kirchhoff's current law (parallel) The currents through the loads must add up to the total current. It = I₁ + I₂ + I₃
20Formula sheet and self-test
Quantity
Symbol
Unit
Formulas
Voltage
V, U, U₀
volt (V)
V = I×R · V = P÷I
Current
I
amp (A)
I = V÷R · I = P÷V
Resistance
R (Z for AC)
ohm (Ω)
R = V÷I
Power
P
watt (W)
P = I×V
Series
Rt = R₁+R₂+R₃ · I same · V splits
Parallel
1/Rt = 1/R₁+1/R₂+1/R₃ · V same · I splits
Transformer
V₁/V₂ = N₁/N₂
Rule of thumb
230 V: 1 kW ≈ 4 A
Test yourself.Tap to reveal the answers.Answers are under each question.
A 3 kW heater on 230 V: what current does it draw?
I = P ÷ V = 3000 ÷ 230 = 13.04 A
Four 10 Ω lamps in series on 230 V: total resistance, current, and voltage per lamp?
Rt = 40 Ω · I = 230 ÷ 40 = 5.75 A · V per lamp = 5.75 × 10 = 57.5 V
They need a continually changing magnetic flux in the primary to induce a voltage in the secondary. DC gives a steady flux, so nothing is induced.
What is the voltage between two lines of a UK three-phase supply, and between a line and neutral?
400 V line to line · 230 V line to neutral
In a series circuit, what stays the same? And in parallel?
Series: current is constant · Parallel: voltage is constant
Unofficial student notes written from the Module 1 Day 1 webinar recordings, shared free for fellow learners. Not produced or endorsed by the training provider. Always check against your course books, BS 7671 and your tutor. Spotted a mistake? Let us know so it can be fixed for everyone.