Power
Power is the time rate of expending or absorbing energy, measured in watts (W). Power, is commonly denoted by the letter p or P.
Mathematically,
where p is power in watts (W), w is energy in joules (J), and t is time in seconds (s). From voltage and current equations, it follows that;
Thus, if the magnitude of current I and voltage are given, then power can be evaluated as the product of the two quantities and is measured in watts (W).
Sign of power:
Plus sign: Power is absorbed by the element. (Resistor, Inductor)
Minus sign: Power is supplied by the element. (Battery, Generator)
Passive sign convention:
If the current enters through the positive polarity of the voltage, p = +vi If the current enters through the negative polarity of the voltage, p = – vi
Polarities for Power using passive sign convention
(a) Absorbing Power (b) Supplying Power