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title: "Three identical resistors, each of resistance \\(R\\), are connected to form a closed triangular loop (Configuration 1). A second identical set of three resistors, each of resistance \\(R\\), are connected in series (Configuration 2). What is the ratio of the equivalent resistance across any two vertices of Configuration 1 to the total equivalent resistance of Configuration 2?"
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url: "https://nerd-notes.com/ubq/118340/"
date_modified: "2026-08-04T08:09:35+00:00"
---

# Three identical resistors, each of resistance \(R\), are connected to form a closed triangular loop (Configuration 1). A second identical set of three resistors, each of resistance \(R\), are connected in series (Configuration 2). What is the ratio of the equivalent resistance across any two vertices of Configuration 1 to the total equivalent resistance of Configuration 2?

Three identical resistors, each of resistance \(R\), are connected to form a closed triangular loop (Configuration 1). A second identical set of three resistors, each of resistance \(R\), are connected in series (Configuration 2). What is the ratio of the equivalent resistance across any two vertices of Configuration 1 to the total equivalent resistance of Configuration 2?

![A circuit schematic showing two separate resistor networks labeled Configuration 1 and Configuration 2. Configuration 1 shows three identical resistors, each labeled R, connected in a closed equilateral triangle shape with two terminal leads extending outward from two of the vertices. Configuration 2 shows three identical resistors, each labeled R, connected end-to-end in a straight horizontal line in series between two terminal leads. No other components or labels appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785830975-QWoExz.jpg)

- **A.** \(\dfrac{2}{9}\)
- **B.** \(\dfrac{1}{3}\)
- **C.** \(\dfrac{2}{3}\)
- **D.** \(\dfrac{9}{2}\)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/118340/*