10. Three long, straight wires are mounted on the vertices of an equilateral triangle as shown in the figure. The wires carry currents of I₁ = 9.50 A, I₂ = 4.00 A, and I3 = 7.00 A. Each side of the triangle has a length of 32.0 cm, and the point (A) is located half way between (1₁) and (12) along one of the sides. Find the magnitude of the magnetic field at point (A). 0989 T 60 ssf60 ssf60 ssf60 ssf60 se 60 ssf ssf60 ssf60 ss ssf60 ssf60 ssf60 ssf60 ssf60 ssf60 ssf60 50 ssf60 ssf60 ssf60 ssí f60 ssf60 ss 60 ssf60 ssf60 s f60 ssf60 ss 09588 f60 s 160 ssf60 ssf60 ssf60 ssf60 ssf60

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem 10: Magnetic Field at a Point in a Wire Triangle Setup**

Three long, straight wires are mounted on the vertices of an equilateral triangle as shown in the accompanying diagram. The wires carry currents of \( I_1 = 9.50 \, \text{A} \), \( I_2 = 4.00 \, \text{A} \), and \( I_3 = 7.00 \, \text{A} \). Each side of the triangle has a length of \( 32.0 \, \text{cm} \), and the point (A) is located halfway between \( (I_1) \) and \( (I_2) \) along one of the sides. Find the magnitude of the magnetic field at point (A).

**Magnetic Field: \[ \boxed{} \] \, \text{T}**

**Diagram Explanation:**

- The diagram illustrates an equilateral triangle with vertices labeled \( I_1 \), \( I_2 \), and \( I_3 \).
- Each wire is placed at one vertex of the triangle: 
  - \( I_1 \) is marked with a circle containing an "X", indicating the current flows into the plane.
  - \( I_2 \) and \( I_3 \) are marked with circles containing dots, indicating the currents flow out of the plane.
- The point (A) is located along the line segment connecting \( I_1 \) and \( I_2 \), exactly halfway between these two points.
- Side lengths of the triangle are given as \( 32.0 \, \text{cm} \).

The task is to determine the magnetic field's magnitude at point (A) due to the currents in the wires.
Transcribed Image Text:**Problem 10: Magnetic Field at a Point in a Wire Triangle Setup** Three long, straight wires are mounted on the vertices of an equilateral triangle as shown in the accompanying diagram. The wires carry currents of \( I_1 = 9.50 \, \text{A} \), \( I_2 = 4.00 \, \text{A} \), and \( I_3 = 7.00 \, \text{A} \). Each side of the triangle has a length of \( 32.0 \, \text{cm} \), and the point (A) is located halfway between \( (I_1) \) and \( (I_2) \) along one of the sides. Find the magnitude of the magnetic field at point (A). **Magnetic Field: \[ \boxed{} \] \, \text{T}** **Diagram Explanation:** - The diagram illustrates an equilateral triangle with vertices labeled \( I_1 \), \( I_2 \), and \( I_3 \). - Each wire is placed at one vertex of the triangle: - \( I_1 \) is marked with a circle containing an "X", indicating the current flows into the plane. - \( I_2 \) and \( I_3 \) are marked with circles containing dots, indicating the currents flow out of the plane. - The point (A) is located along the line segment connecting \( I_1 \) and \( I_2 \), exactly halfway between these two points. - Side lengths of the triangle are given as \( 32.0 \, \text{cm} \). The task is to determine the magnetic field's magnitude at point (A) due to the currents in the wires.
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