Electric Power

on . Posted in Electrical Engineering

Electrical power, abbreviated as P, is the rate at which electrical energy is transferred or converted into other forms of energy, such as mechanical or thermal energy.  The power delivered by an electrical circuit is equal to the product of the voltage (V) and the current (I) flowing through the circuit.  This relationship is known as Joule's Law.  Electrical power can be calculated using various other formulas depending on the specific circumstances, such as the use of AC or DC power, reactive power, or power factor.

Electric Power formula

$$P \;=\; V \; I$$     (Electric Power)

$$V \;=\; P \;/\; I$$

$$I \;=\; P \;/\; V$$

Symbol English Metric
$$P$$ = power $$W$$ $$kg-m^2\;/\;s^3$$
$$V$$ = voltage $$V$$ $$kg-m^2\;/\;s^3-A$$
$$I$$ = current $$A$$ $$C\;/\;s$$

Electric Power formula

$$P \;=\; R \; I^2$$     (Electric Power)

$$R \;=\; P \;/\; I^2$$

$$I \;=\; \sqrt{ P \;/\; R }$$

Symbol English Metric
$$P$$ = power $$W$$ $$kg-m^2\;/\;s^3$$
$$R$$ = resistance $$\Omega$$ $$kg-m^2\;/\;s^3-A^2$$
$$I$$ = current $$A$$ $$C\;/\;s$$

Electric Power formula

$$P \;=\; V^2 \;/\; R$$     (Electric Power)

$$V \;=\; \sqrt{ P \; R }$$

$$R \;=\; \ V^2 \;/\; P$$

Symbol English Metric
$$P$$ = power $$W$$ $$kg-m^2\;/\;s^3$$
$$V$$ = voltage $$V$$ $$kg-m^2\;/\;s^3-A$$
$$R$$ = resistance $$\Omega$$ $$kg-m^2\;/\;s^3-A^2$$

Tags: Power Electrical