As shown in the figure, two long, straight current-carrying wires (1 and 2) are attached at right angles to a board by wire brackets. The current in wire 1 is 7.89 A in the positive y direction and the current in wire 2 is 5.00 A in the positive x direction. The points A and B are a distance r = 0.200 m from both wires.

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As shown in the figure, two long, straight current-carrying wires (1 and 2) are attached at right angles to a board by wire brackets. The current in wire 1 is 7.89 A in the positive y direction and the current in wire 2 is 5.00 A in the positive x direction. The points A and B are a distance
r = 0.200 m from both wires.

(a) How does the magnitude of the net magnetic field at point A compare to the magnitude of the net magnetic field at point B?

BA > BB

BA = BB

BA < BB

(b) Determine the magnitude of the net magnetic field at points A and B.
point A
T
point B
T

(c) If the brackets holding wire 2 are removed, what will happen to wire 2?
It will rotate clockwise.
It will rotate counterclockwise.
Nothing will happen.

**Transcription for Educational Website**

**Magnetic Fields Around Current-Carrying Wires**

As shown in the figure, two long, straight current-carrying wires (1 and 2) are attached at right angles to a board by wire brackets. The current in wire 1 is 7.89 A in the positive \( y \)-direction, and the current in wire 2 is 5.00 A in the positive \( x \)-direction. The points A and B are a distance \( r = 0.200 \, \text{m} \) from both wires.

**Diagram Explanation:**
- The diagram depicts the two wires (#1 and #2) oriented perpendicularly. 
- Wire 1 has current \( I_1 \) pointing up along the \( y \)-axis.
- Wire 2 has current \( I_2 \) pointing to the right along the \( x \)-axis.
- Points A and B are marked equidistantly from both wires.

**Exercises:**

**(a)** How does the magnitude of the net magnetic field at point A compare to the magnitude of the net magnetic field at point B?
- \(\Box\) \( B_A > B_B \)
- \(\Box\) \( B_A = B_B \)
- \(\Box\) \( B_A < B_B \)

**(b)** Determine the magnitude of the net magnetic field at points A and B.
- Point A: \(\underline{\hspace{1cm}}\) T
- Point B: \(\underline{\hspace{1cm}}\) T

**(c)** If the brackets holding wire 2 are removed, what will happen to wire 2?
- \(\Box\) It will rotate clockwise.
- \(\Box\) It will rotate counterclockwise.
- \(\Box\) Nothing will happen.

This exercise explores the interactions between magnetic fields generated around current-carrying wires and involves analyzing the effects these magnetic fields have at designated points. Understanding these principles is essential for grasping the fundamentals of electromagnetism.
Transcribed Image Text:**Transcription for Educational Website** **Magnetic Fields Around Current-Carrying Wires** As shown in the figure, two long, straight current-carrying wires (1 and 2) are attached at right angles to a board by wire brackets. The current in wire 1 is 7.89 A in the positive \( y \)-direction, and the current in wire 2 is 5.00 A in the positive \( x \)-direction. The points A and B are a distance \( r = 0.200 \, \text{m} \) from both wires. **Diagram Explanation:** - The diagram depicts the two wires (#1 and #2) oriented perpendicularly. - Wire 1 has current \( I_1 \) pointing up along the \( y \)-axis. - Wire 2 has current \( I_2 \) pointing to the right along the \( x \)-axis. - Points A and B are marked equidistantly from both wires. **Exercises:** **(a)** How does the magnitude of the net magnetic field at point A compare to the magnitude of the net magnetic field at point B? - \(\Box\) \( B_A > B_B \) - \(\Box\) \( B_A = B_B \) - \(\Box\) \( B_A < B_B \) **(b)** Determine the magnitude of the net magnetic field at points A and B. - Point A: \(\underline{\hspace{1cm}}\) T - Point B: \(\underline{\hspace{1cm}}\) T **(c)** If the brackets holding wire 2 are removed, what will happen to wire 2? - \(\Box\) It will rotate clockwise. - \(\Box\) It will rotate counterclockwise. - \(\Box\) Nothing will happen. This exercise explores the interactions between magnetic fields generated around current-carrying wires and involves analyzing the effects these magnetic fields have at designated points. Understanding these principles is essential for grasping the fundamentals of electromagnetism.
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