Thread: Is the Superposition Principle invalid?
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Old April 1st 07, 02:49 PM posted to rec.radio.amateur.antenna
Cecil Moore[_2_] Cecil Moore[_2_] is offline
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First recorded activity by RadioBanter: Mar 2007
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Default Is the Superposition Principle invalid?
Cecil Moore wrote:
V1 + V2 = V3 (vectors or phasors)

(V1 + V2)^2 = V3^2 (scalars)

In fact, the irradiance (power) equation falls out
directly from the above valid equation. Continuing
the process:

V1^2 + 2(V1)(V2) + V2^2 = V3^2

V1^2 + 2*SQRT(V1^2)*SQRT(V2^2) + V2^2 = V3^2

V1^2 + V2^2 + 2*SQRT(V1^2*V2^2) = V3^2

Dividing both sides of the equation by Z0 yields:

P1 + P2 + 2*SQRT(P1*P2) = P3

There you have it. The mathematical derivation of
the irradiance (power) equation.
--
73, Cecil http://www.w5dxp.com
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