38 Chapter 2
For a power of 12 dBm:
0.001 10 0.00006309 W.
1012
The voltage across 600 Ω is
EWR
0 00006309 600
0 195
.V.
Note that this 12-dBm power level can appear across any impedance and will always
be the same power level. Voltages will vary to maintain this power level. In constant-
voltage systems the power level varies as the impedance is changed. In constant-
current systems the voltage changes as the impedance varies (i.e., 12 dBm across
8 Ω 0 00006309..V). 8 0 022
2.2 Measuring Electrical Power .....................................................................................
WEl cosθ (2.8)^
WZI^2 cosθ (2.9)^
W
E
Z
2
cosθ
where W is the power in watts, E is the electromotive force in rms volts, I is the current in rms
amperes,Z is the magnitude of the impedance in ohms [in audio (AC) circuits Z (impedance) is
used in place ofR (AC resistance)], and θ is the phase difference between E and I in degrees.
These equations are only valid for single frequency rms sine wave voltages and currents.
2.2.1 Most Common Technique
- Measure Z and θ.
- Measure E across the actual load Z so that
W E
Z
2
cosθ.