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Electric power calculator

Formula

$$P = UI$$

Electric power equals voltage times current: P = UI.

ENT-level problem

A resistor of resistance $R = 10$ ohm is connected to a source of voltage $U = 20$ V. Find the current flowing through the resistor.

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Ohm's law for a circuit segment: $I = U/R$.

$$I = \frac{U}{R} = \frac{20}{10} = 2 \text{ A}$$

Explanation

Power shows how much energy a device consumes or produces per unit of time. The unit of power is the watt (W): 1 W = 1 J/s. At 220 V and 5 A a lamp uses 1100 W.

With the resistance known, power can also be found as P = I²R and P = U²/R — handy when the current or the voltage is unknown. The total power of household appliances decides whether the wiring and the fuse can handle it.

Frequently asked questions

How do you find power from current and resistance?

Use P = I²R. For I = 2 A and R = 10 Ω the power is 40 W.

What does a device's power rating mean?

Power is the energy consumed per unit of time: a 1000 W device uses 1 kWh of electricity per hour.

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