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4. Three infinitely long parallel wires carry currents /1 = 400.0 A, I2 = 300.0 A, and ls = 500.0 A in the directions shown in the figure below, with separation distance d = 10.0 cm in the vertical direction. a) What are the magnitudes and directions of the magnetic field at the location of each wire due to the other two wires? b) What are the magnitudes and directions of the magnetic force per unit length on each of the wires due to the other two wires? c) What is the mass per unit length of wire #2 if it is suspended at its location (i.e., the gravitational and magnetic forces on the wire are balanced)?

4. Three infinitely long parallel wires carry currents /1 = 400.0 A, I2 = 300.0 A, and ls = 500.0 A in the directions shown in the figure below, with separation distance d = 10.0 cm in the vertical direction. a) What are the magnitudes and directions of the magnetic field at the location of each wire due to the other two wires? b) What are the magnitudes and directions of the magnetic force per unit length on each of the wires due to the other two wires? c) What is the mass per unit length of wire #2 if it is suspended at its location (i.e., the gravitational and magnetic forces on the wire are balanced)?

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**Problem 4** Three infinitely long parallel wires carry currents \( I_1 = 400.0 \, \text{A} \), \( I_2 = 300.0 \, \text{A} \), and \( I_3 = 500.0 \, \text{A} \) in the directions shown in the figure below, with separation distance \( d = 10.0 \, \text{cm} \) in the vertical direction. **Diagram Explanation:** - The diagram shows three horizontal wires, each carrying a current: - Wire 1 (\( I_1 \)) carries a current to the left. - Wire 2 (\( I_2 \)) carries a current to the right. - Wire 3 (\( I_3 \)) carries a current to the left. - The separation distance between each wire is \( d \). A coordinate system is indicated, with the \( y \)-axis pointing vertically and the \( x \)-axis pointing horizontally. **Questions:** a) What are the magnitudes and directions of the magnetic field at the location of each wire due to the other two wires? b) What are the magnitudes and directions of the magnetic force per unit length on each of the wires due to the other two wires? c) What is the mass per unit length of wire #2 if it is suspended at its location (i.e., the gravitational and magnetic forces on the wire are balanced)?
Transcribed Image Text:**Problem 4** Three infinitely long parallel wires carry currents \( I_1 = 400.0 \, \text{A} \), \( I_2 = 300.0 \, \text{A} \), and \( I_3 = 500.0 \, \text{A} \) in the directions shown in the figure below, with separation distance \( d = 10.0 \, \text{cm} \) in the vertical direction. **Diagram Explanation:** - The diagram shows three horizontal wires, each carrying a current: - Wire 1 (\( I_1 \)) carries a current to the left. - Wire 2 (\( I_2 \)) carries a current to the right. - Wire 3 (\( I_3 \)) carries a current to the left. - The separation distance between each wire is \( d \). A coordinate system is indicated, with the \( y \)-axis pointing vertically and the \( x \)-axis pointing horizontally. **Questions:** a) What are the magnitudes and directions of the magnetic field at the location of each wire due to the other two wires? b) What are the magnitudes and directions of the magnetic force per unit length on each of the wires due to the other two wires? c) What is the mass per unit length of wire #2 if it is suspended at its location (i.e., the gravitational and magnetic forces on the wire are balanced)?
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