In the figure below, the current in the long, straight wire is I₁ = 3.90 A, and the wire lies in the plane of the rectangular loop, which carries 14.0 A. The dimensions shown are c = 0.100 m, a = 0.150 m, and = 0.450 m. Find the magnitude and direction of the net force exerted by the magnetic field due to the straight wire on the loop. magnitude N direction -Select- Q

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In the figure below, the current in the long, straight wire is \( I_1 = 3.90 \, \text{A} \), and the wire lies in the plane of the rectangular loop, which carries \( 14.0 \, \text{A} \). The dimensions shown are \( c = 0.100 \, \text{m}, a = 0.150 \, \text{m}, \) and \( \ell = 0.450 \, \text{m} \). Find the magnitude and direction of the net force exerted by the magnetic field due to the straight wire on the loop.

- **Magnitude**: [Input box] N
- **Direction**: [Select box with options]

**Diagram Description**:

1. **Configuration**: The diagram consists of a straight vertical wire carrying current \( I_1 \) and a rectangular loop carrying current \( I_2 = 14.0 \, \text{A} \).
2. **Dimensions**:
   - Distance \( a = 0.150 \, \text{m} \) from the straight wire to the nearest side of the loop.
   - Width \( c = 0.100 \, \text{m} \) of the loop.
   - Height \( \ell = 0.450 \, \text{m} \) of the loop.
3. **Currents**: Both \( I_1 \) and \( I_2 \) are directed upwards in the diagram.

The problem is to determine the net magnetic force on the loop due to the straight wire.
Transcribed Image Text:In the figure below, the current in the long, straight wire is \( I_1 = 3.90 \, \text{A} \), and the wire lies in the plane of the rectangular loop, which carries \( 14.0 \, \text{A} \). The dimensions shown are \( c = 0.100 \, \text{m}, a = 0.150 \, \text{m}, \) and \( \ell = 0.450 \, \text{m} \). Find the magnitude and direction of the net force exerted by the magnetic field due to the straight wire on the loop. - **Magnitude**: [Input box] N - **Direction**: [Select box with options] **Diagram Description**: 1. **Configuration**: The diagram consists of a straight vertical wire carrying current \( I_1 \) and a rectangular loop carrying current \( I_2 = 14.0 \, \text{A} \). 2. **Dimensions**: - Distance \( a = 0.150 \, \text{m} \) from the straight wire to the nearest side of the loop. - Width \( c = 0.100 \, \text{m} \) of the loop. - Height \( \ell = 0.450 \, \text{m} \) of the loop. 3. **Currents**: Both \( I_1 \) and \( I_2 \) are directed upwards in the diagram. The problem is to determine the net magnetic force on the loop due to the straight wire.
The image shows a dropdown menu with several directional options. The menu includes the following items:

- "---Select---"
- "upward"
- "downward"
- "to the left"
- "to the right"
- "into the page"
- "out of the page"

This dropdown menu allows users to select a direction, which can be useful in educational tools for teaching concepts related to vectors, motion, or spatial orientation.
Transcribed Image Text:The image shows a dropdown menu with several directional options. The menu includes the following items: - "---Select---" - "upward" - "downward" - "to the left" - "to the right" - "into the page" - "out of the page" This dropdown menu allows users to select a direction, which can be useful in educational tools for teaching concepts related to vectors, motion, or spatial orientation.
Expert Solution
Step 1

The required force due to the field generated by the current carrying wire on the closed loop is given by:

F = μoI1I22πal

 

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