Electric Power

  • Electric power is the rate at which electrical energy is consumed or produced by an electrical device.
  • It is the amount of energy used per unit time.
  • The formula for electric power is:

P = VI

P = Power (in watts)
V = Voltage (in volts)
I = Current (in amperes)

Another formula based on Ohm’s Law is:

P = I2R or P = V2R

  • The SI unit of electric power is the watt (W), where 1 watt equals 1 joule per second (1 W = 1 J/s).
  • Large quantities of power are expressed in kilowatts (kW) and megawatts (MW).

1 kW = 1000 W, and 1 MW = 1,000,000 W.

  • Electrical energy consumed is calculated as:

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

  • The unit of electrical energy consumed in households is kilowatt-hour (kWh), also known as a unit of electricity.
  • Electric power is used in various devices like household appliances, industrial machinery, and transportation systems.
  • The amount of electric power used determines the electricity bill.
  • The efficiency of electrical devices is calculated using the ratio of useful power output to total power input, usually expressed as a percentage:

Efficiency = (Useful Power Output / Total Power Input)×100

  • Electrical devices have a power rating, indicating how much power they consume or deliver under standard operating conditions.
  • For example, a 100 W light bulb consumes 100 watts of power when turned on.
  • In electrical circuits, the power dissipated by resistors, transferred by batteries, or consumed by other components is a crucial factor in designing and analyzing circuits.

Let’s practice!