3 m Currents I, = 7.0 A and Iz run perpendicular to the x-y plane in long straight wires as shown in the figure. If the net magnetic field at the origin is in the direction shown and 0= 37. Find the value of I (in A). 1. 7.5 10.5

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**Question:** 

Identify the value of \( I_2 \) given the currents \( I_1 = 7.0 \, \text{A} \) and \( I_2 \) running perpendicular to the xy-plane in long straight wires as shown in the figure.

The net magnetic field at the origin is in the direction shown with an angle of \( \theta = 37^\circ \).

### Diagram Explanation:

A diagram shows the following layout:
- The xy-plane with the origin labeled as \( O \).
- There are two long straight wires each carrying a current:
  - Wire 1 with current \( I_1 \) of 7.0 A, positioned 3 meters below the x-axis (at y = -3m).
  - Wire 2 with current \( I_2 \) of unknown magnitude, positioned 6 meters to the right of the y-axis (at x = 6m).
- The magnetic field \( \mathbf{B} \) at the origin \( O \) is shown, making an angle \( \theta = 37^\circ \) with the negative y-axis.

### Potential Answers:
1. 7.5 A
2. 10.5 A

Using these observations, solve for the value of \( I_2 \).

---

For further educational resources and solutions, consider understanding the principles of magnetic fields generated by current-carrying wires using Biot-Savart Law and Ampère's Law.
Transcribed Image Text:**Question:** Identify the value of \( I_2 \) given the currents \( I_1 = 7.0 \, \text{A} \) and \( I_2 \) running perpendicular to the xy-plane in long straight wires as shown in the figure. The net magnetic field at the origin is in the direction shown with an angle of \( \theta = 37^\circ \). ### Diagram Explanation: A diagram shows the following layout: - The xy-plane with the origin labeled as \( O \). - There are two long straight wires each carrying a current: - Wire 1 with current \( I_1 \) of 7.0 A, positioned 3 meters below the x-axis (at y = -3m). - Wire 2 with current \( I_2 \) of unknown magnitude, positioned 6 meters to the right of the y-axis (at x = 6m). - The magnetic field \( \mathbf{B} \) at the origin \( O \) is shown, making an angle \( \theta = 37^\circ \) with the negative y-axis. ### Potential Answers: 1. 7.5 A 2. 10.5 A Using these observations, solve for the value of \( I_2 \). --- For further educational resources and solutions, consider understanding the principles of magnetic fields generated by current-carrying wires using Biot-Savart Law and Ampère's Law.
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