Let There Be Light!

The questions below are due on Monday February 24, 2025; 10:00:00 PM.
 
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In each of the following circuits, is it possible to adjust the positive, finite, non-zero resistances R_1 and R_2 such that the light bulbs have the same voltage drop across them? If so, enter any single example of a valid combination of R_1 and R_2, as a comma-separated list in units of Ohms. If not, enter None, None (verbatim).

We can model each light bulb as a resistor. In each circuit, there are two different bulbs (one with a 10\Omega resistance, and one with a 20\Omega resistance).

1) Circuit 1

R_1, R_2 (in Ohms), or None, None: 

2) Circuit 2

R_1, R_2 (in Ohms), or None, None: 

3) Circuit 3

R_1, R_2 (in Ohms), or None, None: