Electrical energy can be calculated using which of the following formulas?
- AOption (a)
Energy = Current × Resistance
- BOption (b)
Energy = Voltage × Current
- COption (c)
Energy = Power × Time
- DOption (d)
Energy = Power ÷ Time
View answer & explanationHide answer & explanation
Correct answer
Energy = Power × Time
Why this answer is correct
The correct answer is Energy = Power times Time.
Key Points
- Electrical Energy represents the total work done by an electric current in maintaining the flow of charge through a circuit for a given duration.
- Electric Power (P) is defined as the rate at which electrical energy is consumed or dissipated in an electrical circuit. It is mathematically expressed as Power = Energy / Time.
- By rearranging the fundamental definition of power, Electrical Energy (E) can be calculated as the product of the power consumed and the time interval over which it is used: Energy = Power × Time.
- In the International System of Units (SI), energy is measured in Joules (J). One Joule is defined as the energy transferred when a power of one Watt (W) is applied for one Second (s).
- This relationship is fundamental for calculating electricity bills, where the total energy consumption is determined by the wattage of appliances and their duration of operation.
Additional Information
- Power Components:
- Electric Power itself is the product of Voltage (V) and Current (I). Therefore, energy can also be expressed as Energy = Voltage × Current × Time.
- The unit of power is the Watt, named after the Scottish inventor James Watt.
- Commercial Unit of Energy:
- The Kilowatt-hour (kWh) is the standard unit for commercial electricity consumption, often referred to as a Unit.
- One Kilowatt-hour is equal to 1000 Watts used for one hour (3600 seconds), which equates to 3.6 × 106 Joules.
- Ohm’s Law and Energy:
- According to Ohm’s Law, Voltage = Current × Resistance. Substituting this into the energy formula yields Energy = I2 × R × t, known as Joule’s Law of Heating.
- This formula explains how electrical energy is converted into heat energy in resistors.