A conductor suspended by two flexible wires as shown in the figure below has a mass per unit length of 0.0360 kg/m. + Bin (a) What current must exist in the conductor for the tension in the supporting wires to be zero when the magnetic field is 3.44 T into the page? A (b) What is the required direction for the current? (We are looking for the direction of the current in the conductor.) O to the left O to the right O The magnitude is zero.
A conductor suspended by two flexible wires as shown in the figure below has a mass per unit length of 0.0360 kg/m. + Bin (a) What current must exist in the conductor for the tension in the supporting wires to be zero when the magnetic field is 3.44 T into the page? A (b) What is the required direction for the current? (We are looking for the direction of the current in the conductor.) O to the left O to the right O The magnitude is zero.
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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Transcribed Image Text:**Conductor Suspended by Wires and Magnetic Field Analysis**
A conductor suspended by two flexible wires, as illustrated, has a mass per unit length of **0.0360 kg/m**. The system is subjected to a magnetic field with a magnitude of **3.44 T** directed into the page.
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**Diagram Explanation:**
1. **Conductor Setup**:
- The conductor is horizontally suspended between two wires, which allows it to swing freely.
- The conductor is part of an electrical circuit with positive (+) and negative (-) terminals shown at the top.
2. **Magnetic Field (\(\vec{B}_{in}\))**:
- Represented by crosses (×), indicating the field direction is into the page.
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**Problems and Questions:**
**(a)** What current must exist in the conductor for the tension in the supporting wires to be zero when the magnetic field is **3.44 T** into the page?
- **Answer with:** \( \_\_\_\_\_ \, \text{A} \)
**(b)** What is the required direction for the current? (We are looking for the direction of the current in the conductor.)
- Select one:
- ○ to the left
- ○ to the right
- ○ The magnitude is zero
---
This scenario applies principles of electromagnetism to determine the balance of forces acting on the conductor when it is subjected to a magnetic field. The problem focuses on calculating the necessary current to nullify wire tension, effectively making the net force zero through the Lorentz force, where \(\vec{F} = I \cdot (L \times \vec{B})\).
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