A wire segment is bent into a sinusoidal shape with period of 2π, which gives y=sin⁡(x) and the wire has length of 2π in the x-direction. The wire is carrying a current of 7.5 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the positive z-direction with a magnitude given by B=B0x, where B0 =1.6 T/m. What is the y-component of the force on the wire segment?

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Chapter1: Units, Trigonometry. And Vectors
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A wire segment is bent into a sinusoidal shape with period of 2π, which gives y=sin⁡(x) and the wire has length of 2π in the x-direction. The wire is carrying a current of 7.5 A in the direction shown in the figure. There is a magnetic field in the vicinity of the wire which points in the positive z-direction with a magnitude given by B=B0x, where B0 =1.6 T/m. What is the y-component of the force on the wire segment?

The image is a graph displaying a sinusoidal wave on a coordinate plane. Here's a detailed breakdown:

**Axes:**
- The horizontal axis is labeled as "x" and is marked from 0 to 6.
- The vertical axis is labeled as "y" and is marked from -1 to 1.

**Graph Details:**
- The graph is a sinusoidal wave, typical of a basic sine or cosine function.
- It starts at the origin and moves upwards to a peak, then down through the origin to a trough, before returning upwards.
- The wave completes one full cycle from 0 to approximately 6 on the x-axis.

**Arrows and Labels:**
- At approximately x = 1.5 and x = 4.5, there are arrows pointing parallel to the direction of the wave.
- These arrows are labeled with the Roman numeral "II," possibly indicating parts of the wave or shifts.

**Grid:**
- The background contains a dotted grid pattern which supports reading the graph values more precisely.

This graph is likely used to illustrate wave behavior, and the periodic nature of trigonometric functions such as sine and cosine.
Transcribed Image Text:The image is a graph displaying a sinusoidal wave on a coordinate plane. Here's a detailed breakdown: **Axes:** - The horizontal axis is labeled as "x" and is marked from 0 to 6. - The vertical axis is labeled as "y" and is marked from -1 to 1. **Graph Details:** - The graph is a sinusoidal wave, typical of a basic sine or cosine function. - It starts at the origin and moves upwards to a peak, then down through the origin to a trough, before returning upwards. - The wave completes one full cycle from 0 to approximately 6 on the x-axis. **Arrows and Labels:** - At approximately x = 1.5 and x = 4.5, there are arrows pointing parallel to the direction of the wave. - These arrows are labeled with the Roman numeral "II," possibly indicating parts of the wave or shifts. **Grid:** - The background contains a dotted grid pattern which supports reading the graph values more precisely. This graph is likely used to illustrate wave behavior, and the periodic nature of trigonometric functions such as sine and cosine.
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