Understanding the electrical energy and charge calculator — concept and principle
Electrical energy is what you pay for on an electricity bill and what a battery stores. This calculator converts an appliance's power and running time into energy in kilowatt-hours (kWh) and megajoules (MJ), and, given the supply voltage, works out the current drawn and the total charge moved in amp-hours. Use it to estimate running costs, compare appliances or size a battery or generator.
How it is calculated
- Energy: E = P × t. In kWh: P (W) × t (h) ÷ 1000.
- Energy in MJ: P × t × 3600 ÷ 10⁶, since one hour is 3600 seconds and 1 J = 1 W·s.
- Current: I = P ÷ V.
- Charge: Q = I × t, shown in amp-hours (A·h); 1 Ah = 3600 coulombs.
The principle
Power is the rate of energy transfer, so energy is power multiplied by time. The watt-hour is a practical unit: 1 kWh = 1000 W for 3600 s = 3.6 million joules exactly. Voltage is energy per unit charge (1 V = 1 J/C), so dividing power by voltage gives the rate at which charge flows, which is current; multiplying current by time gives charge. The same relations hold for DC circuits and for AC circuits with purely resistive loads, such as kettles and heaters, where power factor is 1.
Worked example
- Inputs: P = 1500 W, t = 2 h, V = 230 V.
- Energy = 1500 × 2 ÷ 1000 = 3 kWh.
- In joules: 1500 × 2 × 3600 = 10,800,000 J = 10.8 MJ.
- Current = 1500 ÷ 230 = 6.52173913 A.
- Charge = 6.5217 × 2 = 13.04347826 Ah.
| Power (W) | Energy (kWh) |
|---|---|
| 375 | 0.75 |
| 750 | 1.5 |
| 1,125 | 2.25 |
| 1,500 | 3 |
| 1,875 | 3.75 |
| 2,250 | 4.5 |
| 3,000 | 6 |
How to read the result
Multiply kWh by your tariff to get cost: at a price of p per kWh, this example costs 3 × p. The current shows whether a circuit or extension lead can carry the load; compare it with the rating of the breaker, fuse or cable. Typical values: a phone charger uses tens of watts while charging and a kettle 2–3 kW.
Common mistakes
- Confusing kW (a rate) with kWh (an amount).
- Using an appliance's maximum rated power when it actually cycles on and off, as fridges and air conditioners do.
- Applying I = P ÷ V to motors or electronics with a power factor below 1; the real current is P ÷ (V × PF).
Frequently asked questions
How many joules are in 1 kWh?
Exactly 3.6 × 10⁶ J, or 3.6 MJ.
Does the Ah figure mean the same thing on AC?
On AC the current reverses, so it is the RMS current multiplied by time, not a net transfer of charge. It is meaningful mainly for DC and battery systems.
Why does the same appliance draw more current at 120 V than at 230 V?
For the same power, current is inversely proportional to voltage: 1500 W draws about 12.5 A at 120 V but 6.5 A at 230 V.
Sources: BIPM, The International System of Units (SI Brochure), 9th ed., 2019 · NIST Special Publication 811, Guide for the Use of the International System of Units