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Hi Dave,
Your analysis, or critique rather, has been misdirected. In fact, everyone has been suckered. Not unusual given the problem was crafted to be disingenuous. It is, after all, this group's form of "Three Card Monte." Can you pick the card that is the one-eyed Jack? With a little re-ordering here.... On Sat, 17 Nov 2007 16:08:04 +0000, Dave wrote: Wave#3 = Wave#1 superposed with Wave#2 Wave#3 is the only thing real here. These two waves superpose to V = 92.38v and I = 1.85a Note: P = 171 joules/sec Superposition is a process that gives us a solution to a system that exists, not a figurative one. However, the process of superposition requires the suspension of reality to perform computation, and to render the solution that is real. yes, lets say source S1 supplies a voltage V1 into a load L1, where L1 is a pure 50 Ohm resistance. Dave, herein lies everyone's presumption, and one that has been "suggested" originally. What you "interpret" does not exist independently. In fact, S1 has no independent existence (neither does the other source). This is the artificial contrivance of partially solving a superposition problem. Let's simply look at these "suggestions:" Wave#1: V = 50v at 0 deg, I = 1.0a at 0 deg, P = 50 joules/sec In the reality of two waves, this artificial condition is arrived at only through removing the second wave from the reality. And like wise: Wave#2: V = 50v at 45 deg, I = 1.0a at 45 deg, P = 50 joules/sec In the reality of two waves, this artificial condition is arrived at only through removing the first wave from the reality. Neither of these artificial conditions actually exist in the reality of superposed waves, and that is the con. The group has been fixated on the separate artificial environments with their partial solutions as though they actually exist independent of the reality of the superposed, complete solution. You have changed the circuit. Of course he has. That is the allowed method of computing superposition (he has in fact not done the full method of superposition analysis - but that is immaterial to the discussion except only to note that Cecil's posts are often rife with error). The egregious error is found he *During each second*, Wave#1 supplies 50 joules of energy Wave #1 is not independent in reality, so the statement is wrong. What is provided (50 joules) is only a partial solution in the method of computing the superposition which for that computation, suspends reality to examine the separate constituents in an artificial environment. 73's Richard Clark, KB7QHC |
#2
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Dave wrote:
Since you have changed the circuit source 1 is connected to, you should not be surprised it supplies a different power. But these are not "sources" per se, they are EM waves with a fixed constant energy content. EM waves simply cannot, willy-nilly, increase their energy content. The actual source could conceivably be light-years away so it would take light-years to increase the energy content of the EM waves. So please tell us how a 50 watts/unit-area wave can increase its energy content to 85.5 watts/unit-area while being light-years away from any source. -- 73, Cecil http://www.w5dxp.com |
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