Straight Wire Segment A straight wire segment of length I makes an angle of 34 degrees with respect to the axis. The wire carries a current of 5.6 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the negative z direction with a magnitude given by B = Bo()¹, where Bo = 2.3 T and L = 2.31 m. Y A Force e X X X L X X X X X X B(x) What is the component of the force on the wire segment? force= Torque If the wire is free to rotate about the z axis, what is the magnitude of the torque on the wire segment? torque=

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**Straight Wire Segment**

A straight wire segment of length \( L \) makes an angle of 34 degrees with respect to the \( x \) axis. The wire carries a current of 5.6 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the negative \( z \) direction with a magnitude given by \( B = B_0 \left( \frac{x}{L} \right)^2 \), where \( B_0 = 2.3 \, \text{T} \) and \( L = 2.31 \, \text{m} \).

**Diagram Description:**

The diagram shows a coordinate system with an \( x \) and \( y \) axis. A straight wire of length \( L \) is oriented at an angle \( \theta \) (34 degrees) from the \( x \) axis. The wire carries a current \( I \) and is set within a magnetic field \( \vec{B}(x) \), which is directed into the page (indicated by crosses).

**Force**

*Question:*
What is the \( x \) component of the force on the wire segment?

*Input:*
\[ \text{force} = \]

**Torque**

*Question:*
If the wire is free to rotate about the \( z \) axis, what is the magnitude of the torque on the wire segment?

*Input:*
\[ \text{torque} = \]
Transcribed Image Text:**Straight Wire Segment** A straight wire segment of length \( L \) makes an angle of 34 degrees with respect to the \( x \) axis. The wire carries a current of 5.6 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the negative \( z \) direction with a magnitude given by \( B = B_0 \left( \frac{x}{L} \right)^2 \), where \( B_0 = 2.3 \, \text{T} \) and \( L = 2.31 \, \text{m} \). **Diagram Description:** The diagram shows a coordinate system with an \( x \) and \( y \) axis. A straight wire of length \( L \) is oriented at an angle \( \theta \) (34 degrees) from the \( x \) axis. The wire carries a current \( I \) and is set within a magnetic field \( \vec{B}(x) \), which is directed into the page (indicated by crosses). **Force** *Question:* What is the \( x \) component of the force on the wire segment? *Input:* \[ \text{force} = \] **Torque** *Question:* If the wire is free to rotate about the \( z \) axis, what is the magnitude of the torque on the wire segment? *Input:* \[ \text{torque} = \]
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