Two long, parallel conductors, separated by 11.0 cm, carry currents in the same direction. The first wire carries a current I 6.00 A, and the second %3D carries I2 8.00 A. (See figure below. Assume the conductors lie in the %3D plane of the page.)

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### Magnetic Interaction Between Parallel Conductors

**Scenario:**
Two long, parallel conductors, separated by 11.0 cm, carry currents in the same direction. The first wire carries a current \( I_1 = 6.00 \, \text{A} \), and the second carries \( I_2 = 8.00 \, \text{A} \). Assume the conductors lie in the plane of the page.

**Diagram Explanation:**
The diagram shows a set of coordinate axes: \( y \), \( x \), and \( z \). The conductors are parallel and align along the \( x \)-axis, with current \( I_1 \) and \( I_2 \) respectively marked. The current directions are aligned with the positive \( x \)-axis.

**Questions:**

(a) *Magnetic Field from \( I_1 \) at \( I_2 \)*  
- Determine the magnetic field created by \( I_1 \) at the location of \( I_2 \).  
- Input the magnitude in Tesla (T) and select the direction from a dropdown menu.

(b) *Force Per Unit Length on \( I_2 \) by \( I_1 \)*  
- Calculate the force per unit length exerted by \( I_1 \) on \( I_2 \).  
- Input the magnitude in Newtons per meter (N/m) and select the direction.

(c) *Magnetic Field from \( I_2 \) at \( I_1 \)*  
- What is the magnetic field created by \( I_2 \) at the location of \( I_1 \)?  
- Provide the magnitude in Tesla (T) and choose the direction.

(d) *Force Per Unit Length on \( I_1 \) by \( I_2 \)*  
- Determine the force per length exerted by \( I_2 \) on \( I_1 \).  
- Indicate the magnitude in Newtons per meter (N/m) and the direction.

For further assistance, use the "Watch It" video tutorial.
Transcribed Image Text:### Magnetic Interaction Between Parallel Conductors **Scenario:** Two long, parallel conductors, separated by 11.0 cm, carry currents in the same direction. The first wire carries a current \( I_1 = 6.00 \, \text{A} \), and the second carries \( I_2 = 8.00 \, \text{A} \). Assume the conductors lie in the plane of the page. **Diagram Explanation:** The diagram shows a set of coordinate axes: \( y \), \( x \), and \( z \). The conductors are parallel and align along the \( x \)-axis, with current \( I_1 \) and \( I_2 \) respectively marked. The current directions are aligned with the positive \( x \)-axis. **Questions:** (a) *Magnetic Field from \( I_1 \) at \( I_2 \)* - Determine the magnetic field created by \( I_1 \) at the location of \( I_2 \). - Input the magnitude in Tesla (T) and select the direction from a dropdown menu. (b) *Force Per Unit Length on \( I_2 \) by \( I_1 \)* - Calculate the force per unit length exerted by \( I_1 \) on \( I_2 \). - Input the magnitude in Newtons per meter (N/m) and select the direction. (c) *Magnetic Field from \( I_2 \) at \( I_1 \)* - What is the magnetic field created by \( I_2 \) at the location of \( I_1 \)? - Provide the magnitude in Tesla (T) and choose the direction. (d) *Force Per Unit Length on \( I_1 \) by \( I_2 \)* - Determine the force per length exerted by \( I_2 \) on \( I_1 \). - Indicate the magnitude in Newtons per meter (N/m) and the direction. For further assistance, use the "Watch It" video tutorial.
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