Electronic – Create a circuit with 3 identical light bulbs that all have different brightnesses

batterieslightphysics

I'm learning about circuits in my physics class, and we've been given an assignment to create a circuit that can only use 3 identical light bulbs that should all have a different brightness. I've tried for hours to get this to work, but I've so far only found several ways to make it where one lightbulb has a different brightness but the other two are the same. I've tried many different combinations of parallel and series branches and haven't gotten anything to work so far. Any suggestions? Thank you! EDIT: Not glowing at all DOES count as a different brightness, but only as long as the current is still going through the bulb, i.e. it is not just a broken circuit.

schematic

simulate this circuit – Schematic created using CircuitLab

schematic

simulate this circuit

These are just a few of the things I've tried, I can't remember the other ones right now but they were basically variations of these.

Best Answer

There is no solution to this problem if you're only allowed to use ideal components.