- 9 Volt Battery
- X-Mas light
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here's the math:
25w per 50 bulb strand connected to 120v ac source.
P=25w
V1=120v
V2(voltage drop across one bulb) = 120 / 50 = 2.4v
P = V1 X I
25w = 120v X I
I = .208333
V2 = I X R1
2.4v = .208333A X R1
R1 = 11.52 ohms per bulb
V3=9v
V3 = I X (R1 + R2)
9v = .208333 X (11.52 + R2)(we will neglect the internal resistance of the 9v battery)
R2 = 31.68 ohms
take a 50 light wire on 240 V. it actually is made of 3 series strips of 1x16 + 2x17 lamps. divide 240 / 17 and you get 14+ V. the resistace of the 240 V source is really small and i think of the wires and stuff in the lamp wire too
take a 20 light wire on 240 V. its a single strip of 20 lights and i think there are the same lights as in the 50. still each light gets 11+ V
to see visually the effects of the 9 V battery resistance try :
add a battery in parallel with the light (that reduces the resistance to 1/2)
add another light in parallel (thats close to the effect of multiplying the resistance by 2)
to find it exactly use multimeter and calculator
measure battery voltage with light connected and without (i'd measure short time after light disconnected and the battery did not 'recover' yet)
V with light / V without light = R light / (R light + R battery)
measure current light takes (in mA)
V without light / current = (R light + R battery)
V with light / current = R light
the resistance of light depends on the temperature (brightness of light). its resistance much higher when its hotter
i liked to make and hack stuff since i remember myself. especially electrical stuff. and i study electronics in school