**Problem Statement:**Three wires with (nonzero) current flowing perpendicular to the page are spaced equally on a line as shown below.![Diagram](diagram)The first wire experiences no force due to the other two wires when the following is true regarding the current magnitudes of \(i_2\) and \(i_3\):1. \(i_2 = 3i_3\)2. \(i_3 = i_2\)3. none of these4. \(i_3 = 3i_2\)5. it is impossible for the first wire to experience no force6. \(i_3 = 2i_2\)7. \(i_2 = 2i_3\)**Explanation of Diagram:**The diagram shows three wires arranged in a horizontal line, with currents \(i_1\), \(i_2\), and \(i_3\) respectively flowing perpendicularly into or out of the page. Each wire has a corresponding current labeled next to it. The spacing between each wire is equal.**Concept:**The net force on the first wire due to the other two wires must be zero for it to experience no force. This requires that the magnetic forces exerted on the first wire by the second and third wires cancel each other out. The directions and magnitudes of these forces are determined by the directions of the currents and the distances between the wires. **Answer Choices and Analysis:**1. \(i_2 = 3i_3\)2. \(i_3 = i_2\)3. none of these4. \(i_3 = 3i_2\)5. it is impossible for the first wire to experience no force6. \(i_3 = 2i_2\)7. \(i_2 = 2i_3\)

Three wires with (nonzero) current flowing shown below. i, i, i, The first wire experiences no force due to the current magnitudes of iz and ig: O i2 = 3i3 O i3 = i2 O none of these O i3 = 3i2 O it is impossible for the first wire to experiene O i3 = 2i2 O i2 = 2i3

Three wires with (nonzero) current flowing shown below. i, i, i, The first wire experiences no force due to the current magnitudes of iz and ig: O i2 = 3i3 O i3 = i2 O none of these O i3 = 3i2 O it is impossible for the first wire to experiene O i3 = 2i2 O i2 = 2i3

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Magnetic Force

A magnetic force arises when a charged particle or a current-carrying conductor is placed in a magnetic field. It is created because of the movement of the charged particles.

Question

**Problem Statement:**

Three wires with (nonzero) current flowing perpendicular to the page are spaced equally on a line as shown below.

![Diagram](diagram)

The first wire experiences no force due to the other two wires when the following is true regarding the current magnitudes of \(i_2\) and \(i_3\):

1. \(i_2 = 3i_3\)
2. \(i_3 = i_2\)
3. none of these
4. \(i_3 = 3i_2\)
5. it is impossible for the first wire to experience no force
6. \(i_3 = 2i_2\)
7. \(i_2 = 2i_3\)

**Explanation of Diagram:**

The diagram shows three wires arranged in a horizontal line, with currents \(i_1\), \(i_2\), and \(i_3\) respectively flowing perpendicularly into or out of the page. Each wire has a corresponding current labeled next to it. The spacing between each wire is equal.

**Concept:**

The net force on the first wire due to the other two wires must be zero for it to experience no force. This requires that the magnetic forces exerted on the first wire by the second and third wires cancel each other out. The directions and magnitudes of these forces are determined by the directions of the currents and the distances between the wires.

**Answer Choices and Analysis:**

1. \(i_2 = 3i_3\)
2. \(i_3 = i_2\)
3. none of these
4. \(i_3 = 3i_2\)
5. it is impossible for the first wire to experience no force
6. \(i_3 = 2i_2\)
7. \(i_2 = 2i_3\)

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