Points to Remember:
- Power (P) is the rate of energy consumption.
- Energy (E) is power multiplied by time.
- Current (I) is power divided by voltage.
- Units: Power (Watts or kW), Energy (kWh), Current (Amperes), Voltage (Volts), Time (hours).
Introduction:
This question requires a factual and analytical approach to determine the energy consumed and the current drawn by an electrical kettle with a given power rating and operating time. The fundamental principles of electrical power and energy are used to solve this problem. The formula relating power, voltage, current, and energy are crucial. We will apply these formulas to calculate the required values.
Body:
1. Energy Consumed:
- The power rating of the kettle is 2.2 kW (kilowatts).
- The kettle operates for 3 hours.
- Energy consumed (E) is calculated using the formula: E = P Ã t, where P is power and t is time.
- Therefore, E = 2.2 kW Ã 3 hours = 6.6 kWh (kilowatt-hours).
2. Current Drawn:
- The voltage rating of the kettle is 220 V (volts).
- The power rating is 2.2 kW, which is equal to 2200 W (watts).
- Current (I) is calculated using the formula: P = V Ã I, where P is power, V is voltage, and I is current.
- Rearranging the formula to solve for I: I = P / V
- Therefore, I = 2200 W / 220 V = 10 A (amperes).
Conclusion:
In summary, the electrical kettle consumes 6.6 kWh of energy when operated for three hours. The current drawn by the kettle during operation is 10 amperes. These calculations are based on the fundamental principles of electrical power and energy. It’s important to note that this calculation assumes 100% efficiency, which is not realistic in practice due to energy losses as heat. Understanding energy consumption is crucial for managing household electricity bills and promoting energy conservation. Further analysis could involve calculating the cost of electricity consumption based on the local electricity tariff. This understanding promotes responsible energy usage and contributes to sustainable practices.