---
title: "Three identical incandescent light bulbs, labeled 1, 2, and 3, each with constant resistance \\(R\\), are connected to an ideal battery of potential difference \\(\\varepsilon\\) as shown in the diagram. Bulb 1 is connected in series with the parallel combination of Bulb 2 and Bulb 3. Which of the following correctly ranks the brightness \\(B_1\\), \\(B_2\\), and \\(B_3\\) of the three bulbs?"
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url: "https://nerd-notes.com/ubq/120414/"
date_modified: "2026-08-23T04:34:31+00:00"
---

# Three identical incandescent light bulbs, labeled 1, 2, and 3, each with constant resistance \(R\), are connected to an ideal battery of potential difference \(\varepsilon\) as shown in the diagram. Bulb 1 is connected in series with the parallel combination of Bulb 2 and Bulb 3. Which of the following correctly ranks the brightness \(B_1\), \(B_2\), and \(B_3\) of the three bulbs?

Three identical incandescent light bulbs, labeled 1, 2, and 3, each with constant resistance \(R\), are connected to an ideal battery of potential difference \(\varepsilon\) as shown in the diagram. Bulb 1 is connected in series with the parallel combination of Bulb 2 and Bulb 3. Which of the following correctly ranks the brightness \(B_1\), \(B_2\), and \(B_3\) of the three bulbs?

![A rectangular direct-current circuit schematic with straight black wire connections. On the left vertical branch is a battery symbol with two parallel lines representing an ideal battery, labeled \(\varepsilon\). From the top of the battery, the wire extends horizontally to the right through a standard circle symbol containing an internal filament loop labeled 1. To the right of bulb 1, the wire reaches a junction that splits into two parallel vertical branches. The first branch contains a circle symbol labeled 2, and the second parallel branch to its right contains a circle symbol labeled 3. The two parallel branches rejoin at a bottom junction, and the return wire extends horizontally to the left back to the bottom of the battery. No other labels, lines, text, or circuit components appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1787459670-t8lIBD.jpg)

- **A.** \(B_1 > B_2 = B_3\)
- **B.** \(B_1 = B_2 = B_3\)
- **C.** \(B_2 = B_3 > B_1\)
- **D.** \(B_1 > B_2 > B_3\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/120414/*