← All modules Core 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.

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AM

Short intro and basic electrics

01The course and what you need

The route through the course, in order:

  1. Attend 14 days of online theory training (webinars).
  2. Complete the homework on your portal.
  3. Book your exams at your chosen centre, then take them.
  4. Once all exams are passed, book practical training (weekend or midweek).
  5. Attend 10 days of practical training.
  6. 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 needNotes
BS 7671The wiring regulations
On-Site Guide
Electrician's Guide to the Building Regulations
Code of Practice for In-service Inspection and Testing of Electrical Equipment5th edition
Guidance Note 3Inspection and testing
Scientific calculatorCasio fx-85GT is recommended
Book marking labelsTab 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.

+ 12V − electrons copper conductor No voltage: free electrons wander at random. Connect a voltage: they all drift the same way, which is current.
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 conductorsWhy it matters
1. SilverLowest resistance, but far too expensive to use in cable
2. CopperSecond best and cheap, so it's what cables use. Aluminium is also used, for example in concentric supply cables.
3. GoldDoesn't tarnish, so it's used to plate contacts

05The basic supply circuit

This diagram came up throughout both sessions. It shows where your 230 V actually comes from.

transformer winding 230 V LINE (brown) NEUTRAL (blue) · 0 V 0 V star point → EARTH LOAD e.g. lamp 230 V 0 V 230 V dropped across the load
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.
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

V I R
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 I V
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
Which triangle? Read what the question gives you.
Given volts and ohms or amps, or asked for resistanceOhm'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.

R₁ = 5 Ω R₂ = 6 Ω R₃ = 7 Ω drops 23.95 V drops 28.74 V drops 33.53 V 230 V cables (L + N) = 30 Ω · drops 143.7 V I = 4.79 A, the same everywhere in the loop

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.

30 Ω7.67 A 15 Ω15.33 A 9 Ω25.56 A 230 V · It = 48.5 A 0 V 230 V230 V230 V
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 ✓

More practice from the session

20 Ω, 10 Ω, 121 Ω:
   1/Rt = 0.05 + 0.1 + 0.0083 = 0.1583 → Rt = 6.32 Ω

7 Ω, 11 Ω, 36 Ω:
   1/Rt = 0.1429 + 0.0909 + 0.0278 = 0.2615 → Rt = 3.82 Ω

25 Ω, 42 Ω, 21 Ω  (try it yourself first)
   1/Rt = 0.04 + 0.0238 + 0.0476 = 0.1114 → Rt = 8.97 Ω
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

PrefixSymbolMultiplierMeansExample
TeraT×10¹²trillion
GigaG×10⁹thousand million1 GW = 1,000,000,000 W
MegaM×10⁶million1 MΩ = 1,000,000 Ω
Kilok×10³thousand2 kW = 2000 W
base unit: V, A, Ω, W
millim×10⁻³thousandth30 mA = 0.030 A
microµ×10⁻⁶millionth1 µA = 0.000001 A
nanon×10⁻⁹thousand-millionth
picop×10⁻¹²trillionth

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.

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 cable uses both: copper conductors to carry current, and PVC insulation and sheath to keep it where it should be.

14DC and AC

DC: direct current constant, one direction AC: alternating current sine wave, reverses direction Rectified AC → DC rectifier flips the negative half

Direct current (DC) flows in one direction at a steady level. The three most common sources:

  1. a battery of cells
  2. a DC generator
  3. 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

N S flux leaves N, enters S (outside the magnet) Current-carrying conductor field is circular, all along the conductor

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.

N S rotation 90°180°270°360° +U−U max max (other direction)
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.

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.

laminated steel core alternating flux Φ SupplyV₁ = 110 Vprimary: 50 turns Output → loadV₂ = 55 Vsecondary: 25 turns
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

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

Power station 25 kV generator Transmission 400 kV / 275 kV pylons, national grid Distribution 132 · 33 · 11 kV local substations Homes 230 V 1-phase Commercial / ind. 400 V 3-phase step UP step DOWN step DOWN
  1. Generate: fossil fuels or nuclear energy make steam, which drives a turbine and generator at about 25 kV. Solar and hydro are other sources.
  2. 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.
  3. 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.
  4. Step down again for streets: 230 V for domestic, and 400 V for commercial and industrial properties (shops, schools, factories).
Learn theseVoltage
Generation voltage25 kV
Transmission voltage400 kV (also 275 kV)
Distribution voltages132 kV · 33 kV · 11 kV
Supply to buildings400 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.

120°240°360° L1 L2 L3
L1 (brown), L2 (black) and L3 (grey) each peak 120° after the one before.
L1L2L3 N star point STAR (secondary)
Star: 4 wires (3 lines + neutral). Line to neutral = 230 V, line to line = 400 V.
no star point, no neutral DELTA (primary)
Delta: 3 wires. The distribution transformer's primary is delta and its secondary is star, which gives you a neutral.

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

QuantitySymbolUnitFormulas
VoltageV, U, U₀volt (V)V = I×R · V = P÷I
CurrentIamp (A)I = V÷R · I = P÷V
ResistanceR (Z for AC)ohm (Ω)R = V÷I
PowerPwatt (W)P = I×V
SeriesRt = R₁+R₂+R₃ · I same · V splits
Parallel1/Rt = 1/R₁+1/R₂+1/R₃ · V same · I splits
TransformerV₁/V₂ = N₁/N₂
Rule of thumb230 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

10 Ω and 40 Ω in parallel: total resistance?

1/Rt = 0.1 + 0.025 = 0.125 → Rt = 8 Ω (lower than 10 Ω ✓)

Express 0.25 MΩ in kΩ, and 45 mA in amps.

250 kΩ · 0.045 A

Why do transformers only work on AC?

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.

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