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How do we calculate power?

Updated: 8/10/2023
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7y ago

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Power (P) is the rate of doing work (W), so its fundamental formula is:

P=W/t

That is:

Power = Work divided by time.

Clear explanation: Power is equal to:

How much work is done (in joules) divided by the time (in seconds) it took to do that work.

For example:

Problem: If a construction worker pushes the wheelbarrow, expending 50 J of work in 2s, how much power does he use?

Answer: 50 J divided by 2 s is 25 W so, the power is equal to 25 watts.

_____________________________________

For electrical engineering and electronics, power is calculated as:

P = I2R, or

P= V2/R, or

P= VI

where P is power, I is current, R is resistance, and V is voltage.

The big power formulas are:

Formula 1 - Electrical (electric) power equation:

Power P = I × V = R × I2 = V2 ⁄ R

where power P is in watts, voltage V is in volts and current I is in amperes (DC).

If there is AC, look also at the power factor PF = cos φ and φ = power factor angle (phase angle) between voltage and amperage.

Formula 2 - Mechanical (mechanic) power equation:

Power P = E ⁄ t = W

where power P is in watts, energy E is in joules, and time t is in seconds. 1 W = 1 J/s

There is much potential for confusion between the value for Work (measured in joules but often written in formulas as W) and Power (measured in watts and often written in formulas as W). However, symbols for quantities (work) are italicised, W,whereas symbols for units are upright.

In these formulas, W always refers to watts, although units should never be written in equations.

Scroll down to related links and look at "Calculation: electrical voltage, current, resistance, and power". Look at the written italic letters and normal letters. The SI unit of "work or energy" is the same. One joule is the amount of work done when an applied force of 1 newton moves through a distance of 1 metre in the direction of the force. That is energy.

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11y ago
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11y ago

The big power Formulas:

Formula 1 - Electrical (electric) power equation: Power P = I × V = R × I² = V² ⁄ R

where power P is in watts, voltage V is in volts and current I is in amperes (DC).

If there is AC, look also at the power factor PF = cos φ and φ = power factor angle

(phase angle) between voltage and amperage.

Formula 2 - Mechanical (mechanic) power equation: Power P = E ⁄ t = W ⁄ t

where power P is in watts, energy E is in joules, and time t is in seconds. 1 W = 1 J/s

Scroll down to related links and look at "Formulas and calculations - Electricity and Electric Charge".

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15y ago

To calculate the power consumption of an electrical or electronic device you have to multiply the voltage applied to the device times the current consumed. This is a little trickier than it would first appear; the voltage applied is usually 120 volts(117 to 125 but who's counting?) the current consumed is a bit more complicated. To measure this requires an ammeter ( an AC ammeter) and a little time. The current consumption will not be constant, so it must be averaged over time. The longer your time measurement the more accurate your power measurement will be.

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11y ago

Electrical power is measured in Watts (Unit) represented by 'W' (Symbol).

To calculate it, you multiply the supply voltage by the current taken in by the device/equipment/machine you're operating.

Anyway, let's say you had a heater which had a current of 16 Amps and took a single-phase supply voltage of 230V (a normal house supply):

To get power, you would write the following formula:

W = V x I

Which translates as:

Power = Voltage x Current [SYMBOL - I and UNIT - Amps (A) ]

You would then calculate:

W = 230 Volts x 16 Amps = 3680 Watts [or 3.68 Kilowatts]

You have now established that your heater takes in

3680 Watts of electrical power.

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15y ago

Power = work/time = force * distance / time = force * average velocity.

Electric power = voltage * current

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15y ago

watts

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