Addendum:
Direct link to bigger schematic image http://www.instructables.com/file/F8QACNGGAJUTTOO/?size=ORIGINAL
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Parts List :
Q1 - BC547C
R1 - 1k 1/4W
SW1 - Switch
C1,C2 - 10nF ceramic capacitor (marked with 103)
D1 - 1N4148
LED - any 3 volt led
a toroid ferite core and wire
see my outhe instructable for details on how to make the winding http://www.instructables.com/id/How-to-make-a-Joule-Thief/step3/Winding-the-toroid-transformer/
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You can cut the current in half by using the Supercharged Joule Thief in my blog here. Just increase the 1.5k resistor to a higher value, like 4.7k or even higher. The higher the resistor, the less base bias will be, and the less battery current.
Also, remember that an hour in the library is worth a day in the laboratory. Read about some other JT experiments. One of my favorites is Quantsuff's LED web pages.
02. Check the parts (transistor and led).
03. The How - To for winding the is in my outher instructable http://www.instructables.com/id/How-to-make-a-Joule-Thief/step3/Winding-the-toroid-transformer/ .
04. The voltage at the LED shud be equal the voltage rated for him (like 3v 3.2v or 3.4v or 3.6v if it is a white one).
05. The battery voltage shud be over 1 volt for testing.
1. soldering points should be conducting and connections should be like in the schematics. One change though: I didn't use the switch and the D1 as acmefixer below said it would waste power -- being stingy is one of the points of JT, right? :)
2. Q1 and LED are ok. Q1 is BC547B and LED is for 3.6 V.
3. I wound the inductor again. The first time it was quite messy and with 20 rounds. Now it is with 10 rounds and looks nice. I used 1-core plastic covered wire, I don't know its gauge but it looks thin enough. I was able to wind about 20 rounds on the toroid whose inside diameter is 7 mm.
4. The voltage at LED still shows the same as the battery voltage: 1.5 V. However, another JT I made does the same but it works anyway. This one: http://www.emanator.demon.co.uk/bigclive/joule.htm Hmm... is it so that the current peaks make the LED light up but don't show in the multimeter??
5. Battery voltage is 1.5 V
Are you sure that the schematics is correct?
The other JT circuit had BC550 whose hFE=800, I think I will try out that, too. I also wonder how fine-tuned the component values have to be in order to achieve the best performance of the circuit (or in my case, even some). I saw somewhere that 1 round of coil winding equals to 38 uH but I have no clue whether it really is so. Maybe I'll play around with those as well.
http://www.datasheetcatalog.com/datasheets_pdf/B/C/5/4/BC547C.shtml