---
title: "Five conducting wires meet at a single junction in a circuit, as shown in the diagram. Four of the wires carry known currents: \\(I_1 = 4.0\\text{ A}\\) toward the junction, \\(I_2 = 2.5\\text{ A}\\) away from the junction, \\(I_3 = 1.5\\text{ A}\\) toward the junction, and \\(I_4 = 6.0\\text{ A}\\) away from the junction. What are the magnitude and direction of the current \\(I_5\\) in the fifth wire?"
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url: "https://nerd-notes.com/ubq/116057/"
date_modified: "2026-08-03T10:14:46+00:00"
---

# Five conducting wires meet at a single junction in a circuit, as shown in the diagram. Four of the wires carry known currents: \(I_1 = 4.0\text{ A}\) toward the junction, \(I_2 = 2.5\text{ A}\) away from the junction, \(I_3 = 1.5\text{ A}\) toward the junction, and \(I_4 = 6.0\text{ A}\) away from the junction. What are the magnitude and direction of the current \(I_5\) in the fifth wire?

Five conducting wires meet at a single junction in a circuit, as shown in the diagram. Four of the wires carry known currents: \(I_1 = 4.0\text{ A}\) toward the junction, \(I_2 = 2.5\text{ A}\) away from the junction, \(I_3 = 1.5\text{ A}\) toward the junction, and \(I_4 = 6.0\text{ A}\) away from the junction. What are the magnitude and direction of the current \(I_5\) in the fifth wire?

![A central junction node represented by a solid dark circle. Five straight wire lines meet at this central node. Wire 1 extends up and left with an arrow pointing toward the node labeled I_1 = 4.0 A. Wire 2 extends up and right with an arrow pointing away from the node labeled I_2 = 2.5 A. Wire 3 extends down and right with an arrow pointing toward the node labeled I_3 = 1.5 A. Wire 4 extends down and left with an arrow pointing away from the node labeled I_4 = 6.0 A. Wire 5 extends straight down from the node with no arrow, labeled I_5. No other labels, lines, text, or axes appear.](https://nerd-notes.com/wp-content/uploads/ubq-frq-generated/stem-fig-1-1785752085-JpjaAl.jpg)

- **A.** \(3.0\text{ A}\), directed away from the junction
- **B.** \(14.0\text{ A}\), directed toward the junction
- **C.** \(3.0\text{ A}\), directed toward the junction
- **D.** \(14.0\text{ A}\), 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/116057/*