Identical light bulbs can be attached to identical ideal batteries in three different ways (A, B, or C), as shown in the figure. The ranking (from lowest to highest) of the total power produced by the battery is

Question

Identical light bulbs can be attached to identical ideal batteries in three different ways (A, B, or C), as shown in the figure.  The ranking (from lowest to highest) of the total power produced by the battery is

BlackTom AI · Accepted Answer

The question asks us to compare the total power produced by identical ideal batteries connected to identical light bulbs arranged in three different ways (A, B, C). Since all bulbs are identical, their resistance is the same. The power delivered by a battery to a load depends on the total resistance the battery sees: higher total resistance yields less power, and lower total resistance yields more power.

Option B: In this configuration, the two bulbs appear to be arranged in a way that increases the overall resistance the battery must drive (for example, two bulbs in series). When resistances add in series, the total resistance becomes R_total = R + R = 2R, which is larger than the single-bulb case. With a higher R_total and the same battery voltage, the power P = V^2 / R_total is smaller. Thus, B tends to give the least power among the three.

Option A: Here there is a single bulb directly connected to the battery. The total resistance is just R, so the power is P = V^2 / R. This is more than the power in Option B (since 1R < 2R) but less than scenarios where the effective resistance is reduced below R (e.g., parallel connections), so A sits in the middle.

Option C: This arrangement sets the bulbs in a way that lowers the total resistance seen by the battery (for example, multiple bulbs in parallel). In parallel, the equivalent resistance is R_eq = R/n for n identical bulbs connected in parallel, which is smaller than R. A smaller R_eq yields a larger power P = V^2 / R_eq. Therefore, C produces the most power among the three configurations.

Putting it together in order from lowest to highest power, the sequence B, then A, then C makes sense: B has the highest total resistance, A has a moderate resistance (one bulb), and C has the lowest total resistance (parallel-like arrangement).

Identical light bulbs can be attached to identical ideal batteries in three different ways (A, B, or C), as shown in the figure. The ranking (from lowest to highest) of the total power produced by the battery is单项选择题

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