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I will certainly agree that the _current_ will be extra large as the
bulb is turned on, but that will only last until the bulb warms. When
the bulb is still cool, the power is greatest. As the filiment warms
the power in (in the form of IV) decreases while the power out
increases (primarily in the form of sigma*T^4). I just don't see any
source of "thermal inertia" that will cause the temp to keep rising and
overshoot the equilibrium value before settling back.
Tim F