Hi I am trying to figure out the best way to arrange 5 lightbulbs to get all of them to have the maximum brightness with a 30V battery. The 5 five lightbulbs have different resistances: 3ohms, 6ohms, 8ohms, 11ohm, and 13ohms.
I am working with the following equations:
Voltage = Current * Resistor
Power = Current * Current * Resistor.
My idea was to organize the 3 and 6 ohms resistors in series and the other three (8, 10, 13ohms) in parallel.
I've done a lot of calculations and found the power each lightbulb would have in this case, and then drew out another scneario where the 10 and 13ohms are in series and the 3, 6, and 8 are in parallel.
I know that if all the resistors were the same resistance than the way to get the max current would be to place them all in parallel hence giving the max voltage and power, but when the lightbulbs have diferent resistance I can't seem to find another way other than trial and error. There has to be a better way to go about this than using trial and error.
Any points would be greatly appreciated...