In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a circle of radius a = 6.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.
In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a circle of radius a = 6.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.
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Chapter1: Units, Trigonometry. And Vectors
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In the figure a butterfly net is in a uniform electric field of magnitude E = 3.7 mN/C. The rim, a circle of radius a = 6.1 cm, is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.
![In the figure, a butterfly net is in a uniform electric field of magnitude \( E = 3.7 \, \text{mN/C} \). The rim, a circle of radius \( a = 6.1 \, \text{cm} \), is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.
#### Explanation of the Diagram:
- The diagram shows a butterfly net placed within a field of parallel lines, representing the uniform electric field.
- Arrows in the field indicate the direction of the electric field, which is perpendicular to the plane of the net's opening.
- The opening of the net is circular with the given radius of 6.1 cm.
#### Solution Box:
- There's a box indicating the calculation result with the entry:
- **Number**: \( 0.042 \, E^{-3} \)
- **Units**: \( \text{N} \cdot \text{m}^2/\text{C} \)
This part represents the calculation for the electric flux, which is based on the formula:
\[
\Phi = E \cdot A = E \cdot \pi a^2
\]
where:
- \( \Phi \) is the electric flux.
- \( E \) is the electric field strength.
- \( A \) is the area of the circle.
- \( a \) is the radius of the circle.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F42eb3f21-115e-47f2-b59c-753292f0c3d6%2F526d45f6-f7a2-4db8-a105-38eefd88810e%2F008qhph_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In the figure, a butterfly net is in a uniform electric field of magnitude \( E = 3.7 \, \text{mN/C} \). The rim, a circle of radius \( a = 6.1 \, \text{cm} \), is aligned perpendicular to the field. The net contains no net charge. Find the magnitude of the electric flux through the netting.
#### Explanation of the Diagram:
- The diagram shows a butterfly net placed within a field of parallel lines, representing the uniform electric field.
- Arrows in the field indicate the direction of the electric field, which is perpendicular to the plane of the net's opening.
- The opening of the net is circular with the given radius of 6.1 cm.
#### Solution Box:
- There's a box indicating the calculation result with the entry:
- **Number**: \( 0.042 \, E^{-3} \)
- **Units**: \( \text{N} \cdot \text{m}^2/\text{C} \)
This part represents the calculation for the electric flux, which is based on the formula:
\[
\Phi = E \cdot A = E \cdot \pi a^2
\]
where:
- \( \Phi \) is the electric flux.
- \( E \) is the electric field strength.
- \( A \) is the area of the circle.
- \( a \) is the radius of the circle.
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