HomePhysicsP2: ElectricityP2.1 Mains Electricity – AC Current and Voltage

P2: Electricity

P2.1 Mains Electricity – AC Current and VoltageP2.2 Power, Current, and VoltageP2.3 Ohm's Law and ResistanceP2.4 Circuits – Series and Parallel
P2: Electricity

Mains Electricity – AC Current and Voltage

Understanding alternating current, power calculations, and electrical safety

Electrical power transmission

Mains Electricity

AC power for homes and businesses

AC vs DC Current
Understanding the two types of electric current

Mains electricity uses alternating current (AC), where electrons periodically reverse direction. In the UK, mains electricity has a frequency of 50 Hz, meaning it completes 50 cycles every second.

Direct current (DC) flows in one constant direction. Batteries and solar cells produce DC. AC is preferred for mains electricity because it's easier to transform to different voltages for efficient long-distance transmission.

UK mains voltage is approximately 230 V RMS (root mean square). The peak voltage reaches about 325 V, but RMS gives the equivalent DC voltage for power calculations.

Power and Energy Calculations
Key equations for electrical energy

Power (P) measures the rate of energy transfer. For electrical circuits:

P = V × I

Power (W) = Voltage (V) × Current (A)

Energy (E) is power multiplied by time. For electricity billing, we use kilowatt-hours (kWh):

E = P × t

Energy (kWh) = Power (kW) × Time (hours)

One kilowatt-hour equals 3.6 × 10⁶ joules. To calculate cost, multiply kWh by the price per unit (typically £0.25-0.35 per kWh).

Electrical Safety
Fuses and circuit breakers

Fuses contain thin wire that melts if current exceeds the rated value, breaking the circuit. Common ratings are 3A, 5A, and 13A. Choose a fuse rated just above the normal operating current.

Circuit breakers automatically switch off when current is too high. Unlike fuses, they can be reset after tripping. Both devices protect against overheating and fire from excessive current.

AC Voltage and Power Calculator
Explore mains electricity, calculate power and energy costs
UK Mains: 230V RMS, 50 Hz (Peak: 325V)
+325V0V-325V1 cycle = 0.02s (50 Hz)

AC (Alternating Current)

  • • Direction alternates periodically
  • • UK Mains: 230V, 50 Hz
  • • Used for power transmission
  • • Easy to transform voltage

DC (Direct Current)

  • • Flows in one direction only
  • • Batteries, solar cells
  • • Used in electronics
  • • Constant voltage level

Power (P = V × I)

690 W

0.69 kW

Energy (E = P × t)

1.38 kWh

4.97 MJ

Cost

£0.41

Fuse Selection

Fuse rating should be just above the normal operating current. Current = P ÷ V = 690 ÷ 230 = 3.0A

Key Terms Flashcards
Click the card to reveal the definition

Alternating Current (AC)

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Worked Example
Calculating energy and cost

Question:

A 3 kW electric oven runs for 2 hours. Calculate the energy used in kWh and the cost at £0.30 per kWh.

Answer:

Energy = Power × Time
E = 3 kW × 2 h = 6 kWh

Cost = Energy × Price per unit
Cost = 6 kWh × £0.30 = £1.80

Test Your Knowledge
Question 1 of 6

What is the frequency of UK mains electricity?