---
title: "A circuit consists of an ideal battery and three resistors, labeled 1, 2, and 3, connected in a single continuous series loop. A graph of electric potential \\(V\\) as a function of position \\(x\\) along the circuit loop is shown. Which of the following correctly ranks the resistances \\(R_1\\), \\(R_2\\), and \\(R_3\\) of the three resistors?"
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url: "https://nerd-notes.com/ubq/117244/"
date_modified: "2026-08-04T06:45:05+00:00"
---

# A circuit consists of an ideal battery and three resistors, labeled 1, 2, and 3, connected in a single continuous series loop. A graph of electric potential \(V\) as a function of position \(x\) along the circuit loop is shown. Which of the following correctly ranks the resistances \(R_1\), \(R_2\), and \(R_3\) of the three resistors?

A circuit consists of an ideal battery and three resistors, labeled 1, 2, and 3, connected in a single continuous series loop. A graph of electric potential \(V\) as a function of position \(x\) along the circuit loop is shown. Which of the following correctly ranks the resistances \(R_1\), \(R_2\), and \(R_3\) of the three resistors?

![A graph of electric potential V in volts versus position x along a circuit path. The vertical axis is labeled V (V) with tick marks at 0, 2, 4, 6, 8, 10, and 12. The horizontal axis is labeled Position x. A solid black line starts at (0,0), rises vertically to (0,12), then remains horizontal at V = 12 V until x_1. From x_1 to x_2, labeled Resistor 1, the line slopes downward linearly from 12 V to 6 V. From x_2 to x_3, labeled Resistor 2, the line slopes downward linearly from 6 V to 4 V. From x_3 to x_4, labeled Resistor 3, the line slopes downward linearly from 4 V to 0 V. The line then remains horizontal at 0 V. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785825905-YS9jgh.jpg)

- **A.** \(R_1 > R_3 > R_2\)
- **B.** \(R_2 > R_3 > R_1\)
- **C.** \(R_1 > R_2 > R_3\)
- **D.** \(R_3 > R_2 > R_1\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/117244/*