The figure below shows a box-shaped closed surface with one of its edges lying on the x-axis, and its left edge located at x = a. The sides have lengths a = b = 0.500 m and c = 0.750 m. Throughout the region, there is a nonuniform electric field given by LÈ = (3.50 N/C + (2.20 :)x²)? m2 . c where x is in meters. +x-direction. ... x= a Calculate the net electric flux by showing your calculation of the electric flux through each of the 6 faces of the box-shaped closed surface. You can choose how you label each face. For example your can label the faces as Face 1 -6, or front face, back face, left face etc. This must be clearly labelled on your work. a) face 1 b) face 2 c) face 3 d) face 4 e) face 5 f) face 6 g) Net Electric Flux through the closed surface (add the electric flux from each face)

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The figure below shows a box-shaped closed surface with one of its edges lying on the x-axis, and its left edge located at \( x = a \). The sides have lengths \( a = b = 0.500 \, \text{m} \) and \( c = 0.750 \, \text{m} \).

Throughout the region, there is a nonuniform electric field given by:
\[
\vec{E} = (3.50 \, \text{N/C} + (2.20 \, \frac{\text{N}}{\text{m}^2 \cdot \text{C}}) x^2) \hat{i}
\]
where \( x \) is in meters. +x-direction.

### Diagram
The diagram shows a rectangular box outlined with dimensions labeled as \( c \), \( a \), and \( b \) along the y, x, and z axes respectively. The electric field \( \vec{E} \) is indicated by an arrow pointing in the positive x-direction.

### Instructions
Calculate the net electric flux by showing your calculation of the electric flux through each of the 6 faces of the box-shaped closed surface. You can choose how you label each face. For example, you can label the faces as Face 1-6, or front face, back face, left face, etc. This must be clearly labeled in your work.

### Tasks
a) Face 1  
b) Face 2  
c) Face 3  
d) Face 4  
e) Face 5  
f) Face 6  
g) Net Electric Flux through the closed surface (add the electric flux from each face)
Transcribed Image Text:The figure below shows a box-shaped closed surface with one of its edges lying on the x-axis, and its left edge located at \( x = a \). The sides have lengths \( a = b = 0.500 \, \text{m} \) and \( c = 0.750 \, \text{m} \). Throughout the region, there is a nonuniform electric field given by: \[ \vec{E} = (3.50 \, \text{N/C} + (2.20 \, \frac{\text{N}}{\text{m}^2 \cdot \text{C}}) x^2) \hat{i} \] where \( x \) is in meters. +x-direction. ### Diagram The diagram shows a rectangular box outlined with dimensions labeled as \( c \), \( a \), and \( b \) along the y, x, and z axes respectively. The electric field \( \vec{E} \) is indicated by an arrow pointing in the positive x-direction. ### Instructions Calculate the net electric flux by showing your calculation of the electric flux through each of the 6 faces of the box-shaped closed surface. You can choose how you label each face. For example, you can label the faces as Face 1-6, or front face, back face, left face, etc. This must be clearly labeled in your work. ### Tasks a) Face 1 b) Face 2 c) Face 3 d) Face 4 e) Face 5 f) Face 6 g) Net Electric Flux through the closed surface (add the electric flux from each face)
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