Title: Analysis of Forces on Parallel Wires with Opposing Currents---**Problem Statement:**Consider two parallel wires carrying a current \( I \) in the same direction. Positioned midway between these two wires is a third wire, also parallel, carrying a current \( 0.5 \, I \) in the opposite direction to the first two wires. Determine the direction of the net forces on the outer wires.---**Options:**- **Option A:** Both forces on the two wires are in the same direction in space. - **Option B:** Both forces are away from the center wire. - **Option C:** Since the net forces are zero, there is no direction. - **Option D:** Both forces are toward the center wire.---**Analysis:**When analyzing the forces between current-carrying wires:1. **Magnetic Forces Between Parallel Currents:** - Parallel currents attract, while anti-parallel currents repel each other.2. **Interaction Details:** - The two outer wires attract each other because their currents are in the same direction. - Each outer wire is repelled by the center wire because the center wire carries current in the opposite direction.3. **Net Force Consideration:** - Due to the differing magnitudes and directions of forces, careful analysis and vector summation are required to determine net forces.By applying the right-hand rule and superposition principle, the net effect on each outer wire can be deduced as either toward or away from the center wire. The specific directionality is determined by the relative strengths of the attraction and repulsion forces.Given this explanation and understanding of electromagnetic theory, students are expected to choose the correct option based on calculated net forces.---**Conclusion:**Students should apply concepts of magnetic force interactions and vector analysis to correctly conclude whether the net forces on the outer wires are toward or away from the center wire.

According to the given question, The following diagram can be drawn,

Two parallel wires carry a current I in the same direction. Midway between these wire is a third wire, also parallel to the other two, which carries a current 0.5 I, but in the direction opposite from the first two wires. In which direction are the net forces on the outer wires?

Two parallel wires carry a current I in the same direction. Midway between these wire is a third wire, also parallel to the other two, which carries a current 0.5 I, but in the direction opposite from the first two wires. In which direction are the net forces on the outer wires?

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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