No, they don't get at all hot. 
3906 transistors are rated at 40 volts max and 1 amp hooked up to 1/4 watt
resistors. 
Nothing gets hot. Not even warm up to a 6 milliamp draw were I to set the
current that high and short the out put. Then it gets warm.

 At one milliamp with shorted output...nothing gets the least bit hot.
Ode



At 11:00 PM 6/27/2004 -0500, you wrote:
>That is because when the transistors reach saturation the load that is 
>driving the equation is no longer the resistance of the water but it is the 
>load which the p-n junction at saturation represents that drives the 
>equation. Since silver ions are still entering the water the resistance of 
>the water continues to lower (the reciprocal of conductance) however since 
>the transistors are at their limit the only load felt is the resistance 
>across the p-n junction which will remain constant since this is the limit 
>of the transistor and so the voltage stays the same. I imagine the 
>transistors get pretty hot if left at that point for very long.
>
>At 09:14 PM 6/27/04, you wrote:
>       Frankly, I don't see how the current could remain constant, and the 
>volts remain  constant, while the conductivity is changing.
>
>
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