Power analysis is of paramount importance. Power is the most important quantity in electronic and communication systems because such systems involve transmission of power from one point to another.
We will begin by defining instantaneous and average power.
There are several different definitions of power in AC circuits; all, however, have dimension of V*A or W (watts).
Instantaneous power:
p(t) is the time
function of the power, p(t) = u(t)*i(t). It is the product of the
time functions of the voltage and current. This definition of instantaneous
power is valid for signals of any waveform. The unit for instantaneous power is VA.
Real or average power:
P can be defined in two ways: as the real part
of the complex power or as the simple average of the instantaneous power. The second
definition is more general because with it we can define the instantaneous power for any
signal waveform, not just for sinusoids. It is given explicitly in the
following expression
The unit for real or average power is
watts (W), just as for power in DC circuits. Real power is dissipated as heat
in resistances.
Instantaneous Power p(t)
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