2 Two lightbulbs of resistance $R_1$ and $R_2$ ($R_2 > R_1$) are
3 connected in series. Which is brighter? What if they are connected
9 In series, the same current $I$ flows through both bulbs,
10 so the power (proporional to the brightness) can be found via
14 P_1 = I^2 R_1 &< I^2 R_2 = P_2 \\
19 In series, both bulbs see the same voltage $V$,
20 so the power (proporional to the brightness) can be found via
23 \frac{1}{R_1} &> \frac{1}{R_2} \\
24 \frac{V^2}{R_1} &> \frac{V^2}{R_2} \\
25 P_1 = \frac{V^2}{R_1} &> \frac{V^2}{R_2} = P_2 \\