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.

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**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 \(\vec{F} = I \cdot (L \times \vec{B})\).
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. --- **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. --- **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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