At your risk. Always use a suitable fuse in series with a battery for safety.
A step is changing to Nuvistor 7586 for about half the heater current. Very toughly from 200mA to 100mA.
A further reduction in heater current can be the use of a direct filament cathode on electron tubes such a CV2269 electrometer or hearing aid subminiature electron tubes. A heater current can be at least as low as 14mA.
If grid at space potential operation is desired a higher anode voltage than filament voltage may be used.
In that case it may be uneconomic to use a resistor to drop the battery voltage from say 9V or 12V to 1.3V for filament.
The best solution might be the classic A and B battery practice.
The anode supply can be a very thin (garage remote control) type 12V batter.
The A battery can be an AAA 1.2V rechargeable battery.
Everything is very slim.
2 slim batteries, a slim electron tube.
Could everything fit in a slim aluminum visiting card holder?
Can the 1.2V battery be used in such a way as to keep grid at space potential even when the input transformer is connected to grid without capacitor. Ie no grid cathode electron emission current. This would reduce number of components eliminating a possible coloration from a capacitor. Transformers do not count as they sound great, giving state of the art low noise etc.
Can an electron tube mic booster amplifier of state of the art quality be made inside a pocket slim box including battery in series with suitable safety fuse?
Can thin tape wound ring cores be used for input or output transformer?
Should input, output connectors be 1/8in mono?
Can the need of internal signal transformers be eliminated by using a mic with a step up transformer (eg MD21 HN, MD421 HL, Unidyne III, and an output transformer inside an 1/4in jack? See Canford red impedance converter using Neutrik components.
If it is possible power consumption should be very low.
On previous posts it can be seen that an optimum anode current as low as 30μA is possible thereby reducing common bass heaviness.
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