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Lesson 1 of 31

Ohm's Law & Electrical Power

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Module Lessons

Electrical Principles & Diagnostics

Lesson Overview

This lesson covers the fundamental principles of Ohm's law and electrical power calculations, enabling correct sizing of circuit protection and controls for domestic heating and plumbing appliances.

Learning Objectives

Apply Ohm's law (V = I × R) to calculate circuit voltage, operating current, and resistance.

Calculate electrical power and appliance running current (P = V × I) for plumbing equipment.

Select appropriately rated switches, control devices, and circuit protective fuses based on calculated loads.

Electrical Units & Ohm's Law

Electricity operates via a flow of electrons around a closed circuit from a source, through a load, and back again. In the UK, the standard single-phase mains supply voltage is nominally 230 V AC at 50 Hz, with an acceptable statutory tolerance between 217 V and 253 V.

Electrical TermUnit & SymbolBasic FormulaPractical Plumbing Context
VoltageVolts (V)V = I × RThe electrical pressure pushing current through the circuit.
CurrentAmperes (A)I = V ÷ RThe rate of electron flow determining conductor and fuse sizing.
ResistanceOhms (Ω)R = V ÷ IThe opposition to current flow within heating elements or cables.
PowerWatts (W)P = V × IThe rate of electrical energy consumption by motors or heaters.
Key TermOhm's Law

The mathematical relationship defining that voltage across a circuit equals the current multiplied by the resistance (V = I × R).

Key TermPotential Difference

The difference in electrical potential between two conductive points in an electrical circuit, measured in volts.

British Standard / Regulation

Both line (brown) and neutral (blue) conductors are legally classified as live conductors because both carry electrical current under normal operational conditions.

Calculating Electrical Power & Running Current

Every electrical appliance has a power rating in watts (W) or kilowatts (kW). To determine the current drawn by an appliance from a nominal 230 V supply, the power formula is transposed to I = P ÷ V.

Exam Tip

A standard domestic 3 kW immersion heater element draws 13.04 A on a 230 V supply (3,000 W ÷ 230 V = 13.04 A). Any control switch or time clock installed must be rated above 13.04 A; fitting an accessory rated at only 10 A will cause rapid terminal burnout.

Conductor Resistance & Circuit Protection

All cables exhibit internal conductor resistance. Using Ohm's law (V = I × R), any resistance in the supply cable produces a voltage drop, reducing the actual potential difference reaching the appliance terminals and generating heat.

Important Note

When calculating fuse ratings for appliances like boilers, divide the rated wattage by the supply voltage. For example, a 600 W boiler requires a running current of 2.61 A (600 ÷ 230), requiring a 3 A fuse in the switched fused spur.

Key Takeaways

Ohm's law defines the relationship between potential difference, current, and resistance using the formula V = I × R.

Appliance running current is calculated using I = P ÷ V, which dictates minimum cable, switch, and fuse ratings.

A 3 kW, 230 V immersion heater draws 13.04 A, requiring a dedicated 16 A protective device and appropriately rated switches.

The UK single-phase mains supply operates at 230 V AC and a frequency of 50 Hz, cycling on and off 100 times per second.

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Protection Against Electric Shock

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