Electrical Math

Electrical Power

Volts times amps equals watts - the link between electricity and real work, heat and cost.

Why this matters

Where it occurs

Power calculations appear when sizing heaters, checking motor loads, reading energy bills and verifying that wiring and breakers can carry the load.

Why calculate it

Power is what electricity actually delivers - heat, motion and light. Current alone does not tell you the full story.

What decision it supports

Is this circuit overloaded? What size breaker? How much does running this equipment cost per shift?

What happens if it is wrong

Underestimating power means undersized conductors and protection - the classic recipe for overheating and fires.

The concept

Electrical power is the rate at which electrical energy becomes work or heat. For a resistive load, P = V x I - a 230 V heater drawing 10 A delivers 2300 W.

The same power can be expressed through Ohm's Law as P = I² x R, which shows why current is the enemy of wiring: losses grow with the square of the current.

Energy is power over time: kilowatt-hours. A 2.3 kW heater run for 6 hours uses 13.8 kWh - multiply by the rate to get the cost.

Formula

Electrical Power

P = V x I

  • P = Power (watts (W))
  • V = Voltage (volts (V))
  • I = Current (amperes (A))

Worked example

Problem: A heater draws 10 A from 230 V. What power does it use?

  1. Identify the formula: P = V x I.
  2. Substitute: P = 230 x 10.
  3. Calculate: P = 2300 W = 2.3 kW.

2300 W. Wiring and protection must be sized for this continuous load.

Advertisement

Quick solve: practice it

Problem 1/3Solved 0Streak 0

A 5 A motor winding has 8 Ω of resistance. What power does it dissipate?

Quick-solve habit: calculate, then ask yourself - does this answer make sense in real units?

Games that use this mathematics

Apply the calculation inside a workplace simulation.

Used in these trades