... since you mention power... are you sure you don't have your units confused somewhere? But oops... I told you I wouldn't give you any more hints.
... I know they [the PSI Slayers] will (quite correctly) tear your arguments to shreds, and I even know how they'll do it. ... [Jane Q. Public, 2014-08-04]
... I know where you're making at least one mistake, but I already told you that you're going to have to discover it on your own. [Jane Q. Public, 2014-08-07]
It's fascinating that you'd wrongly implied my previous calculations had units confused somewhere, but haven't pointed out the actual units confusion in the eq. 4 I posted yesterday.
I made a mistake by forgetting to divide by the 1mm thickness "x" of the enclosing shell:
electricity = k*(T_h - T_c)/x (Eq. 4)
The corrected temperatures with the aluminum enclosing shell are so close to those with the superconducting shell that the differences don't show up with the four significant figures I'm using. So my original thermal superconductor approximation was even more accurate than I thought.
"... non-person... disingenuous and intended to mislead
Jane, instead of typing all those charming statements, have you considered that it might be quicker and easier to just write down the equation describing conservation of energy around the heated plate at equilibrium? You'd quickly see that adding a passive enclosing plate reduces the net heat flow out, which warms the heated plate.
"Jesus, you're a dumbshit.
Again, your telepathy isn't working correctly. I don't think you're being stupid. I just think you either haven't thought deeply enough about the equation describing conservation of energy at equilibrium, or that you've betrayed humanity by deliberately spreading civilization-paralyzing misinformation.
That's why I wanted to stress that admitting mistakes isn't the end of the world. I just admitted a mistake in my most recent calculation, and I'm okay. In fact, one way to convince posterity that you're honestly confused rather than deliberately spreading civilization-paralyzing misinformation would be to show that you have the courage to stop being wrong.
"If an honest man is wrong, after it is demonstrated that he is wrong, he either stops being wrong or he stops being honest." -- Anonymous [Lonny Eachus, 2013-09-27]