Triangular Wire The diagram below depicts a wire carrying a current I = 4.95 A. The wire splits into two channels of resistance R₂ = 8.250 and R₁ = 3.10. The channels re-join, forming a current in the shape of an isosceles triangle with base distance d = 8.9 cm and height L = 12 cm. The loop is entered into a region of space where there is a uniform magnetic field, B = 1.55 x 10-2T, as shown. The loop is placed such that the field lies in the plane of the loop. What is the magnitude of the torque on the circuit about the wire's vertical axis? torque= N R₂R₁ S

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**Triangular Wire**

The diagram below depicts a wire carrying a current \( I = 4.95 \, \text{A} \). The wire splits into two channels of resistance \( R_2 = 8.25 \, \Omega \) and \( R_1 = 3.1 \, \Omega \). The channels re-join, forming a current in the shape of an isosceles triangle with base distance \( d = 8.9 \, \text{cm} \) and height \( L = 12 \, \text{cm} \). The loop is entered into a region of space where there is a uniform magnetic field, \( B = 1.55 \times 10^{-2} \, \text{T} \), as shown. The loop is placed such that the field lies in the plane of the loop. What is the magnitude of the torque on the circuit about the wire's vertical axis?

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The diagram shows:

1. A triangular loop of wire positioned between two magnets labeled "N" (North) and "S" (South).
2. The wire splits into two resistive paths, \( R_1 \) and \( R_2 \), before re-joining to form an isosceles triangle.
3. The dimensions of the triangle are given with a base \( d = 8.9 \, \text{cm} \) and a height \( L = 12 \, \text{cm} \).
4. The magnetic field, represented by arrows, is uniform and oriented vertically downwards with a magnitude of \( 1.55 \times 10^{-2} \, \text{T} \).

A text box labeled "torque=" is included at the bottom to allow input of the calculated torque value.
Transcribed Image Text:**Triangular Wire** The diagram below depicts a wire carrying a current \( I = 4.95 \, \text{A} \). The wire splits into two channels of resistance \( R_2 = 8.25 \, \Omega \) and \( R_1 = 3.1 \, \Omega \). The channels re-join, forming a current in the shape of an isosceles triangle with base distance \( d = 8.9 \, \text{cm} \) and height \( L = 12 \, \text{cm} \). The loop is entered into a region of space where there is a uniform magnetic field, \( B = 1.55 \times 10^{-2} \, \text{T} \), as shown. The loop is placed such that the field lies in the plane of the loop. What is the magnitude of the torque on the circuit about the wire's vertical axis? --- The diagram shows: 1. A triangular loop of wire positioned between two magnets labeled "N" (North) and "S" (South). 2. The wire splits into two resistive paths, \( R_1 \) and \( R_2 \), before re-joining to form an isosceles triangle. 3. The dimensions of the triangle are given with a base \( d = 8.9 \, \text{cm} \) and a height \( L = 12 \, \text{cm} \). 4. The magnetic field, represented by arrows, is uniform and oriented vertically downwards with a magnitude of \( 1.55 \times 10^{-2} \, \text{T} \). A text box labeled "torque=" is included at the bottom to allow input of the calculated torque value.
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