Three infinitely long parallel wires carry currents /1 = 400.0 A, 2 = 300.0 A, and l3 = 500.0 A in the directions shown in the figure below, with separation distance d= 10.0 cm in the vertical direction. - 1½ - I3 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)?

icon
Related questions
Question
### Problem Statement:

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, with separation distance \( d = 10.0 \, \text{cm} \) in the vertical direction.

#### Diagram Description:

The figure shows:
- Three parallel wires labeled \( I_1 \), \( I_2 \), and \( I_3 \).
- Wires \( I_1 \) and \( I_3 \) have current flowing to the left.
- Wire \( I_2 \) has current flowing to the right.
- Wires are separated by a vertical distance \( d = 10.0 \, \text{cm} \) each.

Axes are labeled \( y \) vertically, with gravitational acceleration \( g \) pointing downwards, and \( x \) 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 Statement: 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, with separation distance \( d = 10.0 \, \text{cm} \) in the vertical direction. #### Diagram Description: The figure shows: - Three parallel wires labeled \( I_1 \), \( I_2 \), and \( I_3 \). - Wires \( I_1 \) and \( I_3 \) have current flowing to the left. - Wire \( I_2 \) has current flowing to the right. - Wires are separated by a vertical distance \( d = 10.0 \, \text{cm} \) each. Axes are labeled \( y \) vertically, with gravitational acceleration \( g \) pointing downwards, and \( x \) 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)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS