---
title: "A single junction in a direct-current circuit connects five separate wire branches in a steady state. The currents in branches 1 through 4 are given in the table.  | Branch | Current Magnitude | Direction Relative to Junction | |—|—|—| | Branch 1 | 7 A | Toward junction | | Branch 2 | 2 A | Away from junction | | Branch 3 | 4 A | Toward junction | | Branch 4 | 5 A | Away from junction |  Which of the following diagrams correctly represents the magnitude and direction of the current in branch 5 to satisfy conservation of electric charge?"
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url: "https://nerd-notes.com/ubq/121621/"
date_modified: "2026-08-23T05:24:31+00:00"
---

# A single junction in a direct-current circuit connects five separate wire branches in a steady state. The currents in branches 1 through 4 are given in the table.

| Branch | Current Magnitude | Direction Relative to Junction |
|—|—|—|
| Branch 1 | 7 A | Toward junction |
| Branch 2 | 2 A | Away from junction |
| Branch 3 | 4 A | Toward junction |
| Branch 4 | 5 A | Away from junction |

Which of the following diagrams correctly represents the magnitude and direction of the current in branch 5 to satisfy conservation of electric charge?

A single junction in a direct-current circuit connects five separate wire branches in a steady state. The currents in branches 1 through 4 are given in the table.

| Branch | Current Magnitude | Direction Relative to Junction |
|---|---|---|
| Branch 1 | 7 A | Toward junction |
| Branch 2 | 2 A | Away from junction |
| Branch 3 | 4 A | Toward junction |
| Branch 4 | 5 A | Away from junction |

Which of the following diagrams correctly represents the magnitude and direction of the current in branch 5 to satisfy conservation of electric charge?

![A circular central node with five straight line segments radiating outward at equal angles of approximately 72 degrees. The top-left segment is labeled Branch 1 with a solid arrow pointing inward toward the central node and text reading 7 A. The bottom-left segment is labeled Branch 2 with a solid arrow pointing outward away from the central node and text reading 2 A. The bottom-right segment is labeled Branch 3 with a solid arrow pointing inward toward the central node and text reading 4 A. The top-right segment is labeled Branch 4 with a solid arrow pointing outward away from the central node and text reading 5 A. The uppermost vertical segment is labeled Branch 5 with a question mark symbol and no arrow. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-diag-1-1787462670-0IYyT0.jpg)

- **A.** Branch 5 carries \(4\text{ A}\) directed toward the junction.
- **B.** Branch 5 carries \(4\text{ A}\) directed away from the junction.
- **C.** Branch 5 carries \(8\text{ A}\) directed toward the junction.
- **D.** Branch 5 carries \(18\text{ A}\) directed away from the junction.

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/121621/*