A uniform magnetic field of 0.0245 T points vertically upward. (Figure 1) a. Find the magnitude of the magnetic flux through the bottom of the open-topped rectangular box shown in the figure, given that the dimensions of the box are L = 32.0cm , W = 14.0 cm , and H = 13.0 cm . b. Find the magnitude of the magnetic flux through the back side of the open-topped rectangular box. c. Find the magnitude of the magnetic flux through the left side of the open-topped rectangular box. d. Find the magnitude of the magnetic flux through the right side of the open-topped rectangular box.

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Chapter1: Units, Trigonometry. And Vectors
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A uniform magnetic field of 0.0245 T points vertically upward. (Figure 1)

a. Find the magnitude of the magnetic flux through the bottom of the open-topped rectangular box shown in the figure, given that the dimensions of the box are L = 32.0cm , W = 14.0 cm , and H = 13.0 cm .

b. Find the magnitude of the magnetic flux through the back side of the open-topped rectangular box.

c. Find the magnitude of the magnetic flux through the left side of the open-topped rectangular box.

d. Find the magnitude of the magnetic flux through the right side of the open-topped rectangular box.

The image depicts a rectangular box situated in a magnetic field. The box is oriented such that its length (L), width (W), and height (H) are clearly labeled. The magnetic field is represented by blue arrows, uniformly oriented in a vertical direction, indicating the direction of the magnetic field vector, \(\vec{B}\), which is perpendicular to the surface of the box.

Key elements in the diagram:

1. **Dimensions of the Box**:
   - The box has three dimensions, labeled as \(L\) (length), \(W\) (width), and \(H\) (height).

2. **Magnetic Field**:
   - The vector \(\vec{B}\) represents a uniform magnetic field.
   - The arrows indicate the direction of the magnetic field, which is pointing upwards, normal to the top surface of the box.

3. **Dashed Lines**:
   - The diagram includes dashed lines indicating the edges of the box that are not directly visible from this perspective.

This type of diagram is commonly used in physics to illustrate concepts such as magnetic flux, where the orientation and surface area of the box in relation to the magnetic field affect calculations.
Transcribed Image Text:The image depicts a rectangular box situated in a magnetic field. The box is oriented such that its length (L), width (W), and height (H) are clearly labeled. The magnetic field is represented by blue arrows, uniformly oriented in a vertical direction, indicating the direction of the magnetic field vector, \(\vec{B}\), which is perpendicular to the surface of the box. Key elements in the diagram: 1. **Dimensions of the Box**: - The box has three dimensions, labeled as \(L\) (length), \(W\) (width), and \(H\) (height). 2. **Magnetic Field**: - The vector \(\vec{B}\) represents a uniform magnetic field. - The arrows indicate the direction of the magnetic field, which is pointing upwards, normal to the top surface of the box. 3. **Dashed Lines**: - The diagram includes dashed lines indicating the edges of the box that are not directly visible from this perspective. This type of diagram is commonly used in physics to illustrate concepts such as magnetic flux, where the orientation and surface area of the box in relation to the magnetic field affect calculations.
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