Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Electrical Power (): The rate at which electrical energy is transferred by a circuit. The SI unit is the Watt (), where .
Electrical Energy (): The total energy consumed over a period of time . In domestic settings, it is often measured in kilowatt-hours () instead of Joules ().
Mains Electricity: Most domestic supplies use Alternating Current (). In many IGCSE contexts, the standard supply is approximately at a frequency of .
The Three-Pin Plug: Consists of the Live wire (Brown, carries high voltage), Neutral wire (Blue, completes the circuit at ), and Earth wire (Green/Yellow striped, safety wire).
Safety Components: Fuses and Circuit Breakers (MCBs) protect circuits from overheating by breaking the connection when the current exceeds a specific rating. The fuse must be placed in the Live wire.
Earthing and Double Insulation: The Earth wire provides a low-resistance path to the ground for fault currents. Appliances with plastic casings that do not require an earth wire are 'Double Insulated' and marked with the symbol.
Cost of Electricity: Calculated by multiplying the energy used in by the cost per unit. is the energy used by a appliance running for hour ().
📐Formulae
💡Examples
Problem 1:
An electric kettle is rated at and is connected to a mains supply. Calculate the current flowing through the kettle and suggest an appropriate fuse rating ().
Solution:
Explanation:
Since the operating current is , a fuse with a rating slightly higher than the operating current must be chosen to prevent it from blowing during normal use. Therefore, a fuse is the most appropriate choice.
Problem 2:
A light bulb is left on for hours. If the cost of electricity is per , calculate the total cost of using the bulb.
Solution:
Explanation:
First, convert the power from Watts to kilowatts (). Then, multiply the power by time in hours to find the energy in . Finally, multiply the energy by the price per unit.