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Keith Dysart wrote:
The impedance encountered by the reflected wave at the generator is the same as the generator's source impedance. No, the generator's source impedance is *NOT* the impedance encountered by the reflected wave. Please reference w2du's article again. http://www.w2du.com/r3ch19a.pdf Forget about the conjugate match and concentrate on the non-dissipative source resistance being different from what you are calling the generator's source impedance. An *active* source creates a source impedance looking back into the source that is *different* from what you are calling the generator impedance. Secondly, the "directional wattmeter" uses superposition to compute Vf and Vr from which it computes Pf and Pr. You, like many others seem willing to subtract Pr from Pf to obtain Pnet. One can directly add and subtract powers under certain conditions. One condition is if two waves are not coherent. Another condition is if two coherent waves have no effect on each other. Since the forward wave and the reflected wave have no effect on each other (except in the human mind) reflected power can simply be subtracted from from forward power to obtain power delivered to the load but that is NOT superposition of powers. It is a simple addition/subtraction of scalars based on the conservation of energy principle. But this would only seem to be valid if superposition works for power. So why are people who accept that superposition does not work for power, prepared to accept that Pnet = Pf - Pr? You seem to have forgotten the definition and rules of superposition. Superposition applies to fields and waves. Superposition doesn't apply to scalars. Power is a scalar. Or another way to express it is: V1 + V2 = V3 (vectors or phasors) (V1 + V2)^2 = V3^2 (scalars) V1^2 + V2^2 V3^2 (scalars) It's a pretty simple principle of mathematics. The square of the sum is NOT equal to the sum of the squares. -- 73, Cecil http://www.w5dxp.com |
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