A cube with 1.40 m edges is oriented as shown in the figure in a region of uniform electric field. a) Find the electric flux through the right face if the electric field, in newtons per coulomb ( N/C), is given by 4.00i. (N*m(shift-6)2/C) b)Find the electric flux through the right face if the electric field, in newtons per coulomb ( N/C), is given by -2.60j. c)Find the electric flux through the right face if the electric field, in newtons per coulomb ( N/C), is given by -3.60i + 2.60k. d)What is the total flux through the cube for each of these fields?

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A cube with 1.40 m edges is oriented as shown in the figure in a region of uniform electric field.

a) Find the electric flux through the right face if the electric field, in newtons per coulomb ( N/C), is given by 4.00i. (N*m(shift-6)2/C) 

b)Find the electric flux through the right face if the electric field, in newtons per coulomb ( N/C), is given by -2.60j

c)Find the electric flux through the right face if the electric field, in newtons per coulomb ( N/C), is given by -3.60i + 2.60k.

d)What is the total flux through the cube for each of these fields?

The image depicts a three-dimensional coordinate system with a cube placed in the positive octant. The cube is oriented with its edges parallel to the three axes: x, y, and z.

### Description:

- **Axes:**
  - The x-axis is drawn horizontally, extending from the origin to the left.
  - The y-axis is also horizontal but extends to the right.
  - The z-axis is vertical, extending upwards from the origin.

- **Cube:**
  - The cube is positioned such that it sits in the first octant, where all the coordinates (x, y, z) are positive.
  - The cube's edges are aligned with each axis, indicating that the axes are perpendicular to each other.

### Explanation:

This diagram is useful for understanding spatial relationships in a three-dimensional space and visualizing how objects can be positioned relative to a coordinate system. It can serve as an introductory model for exploring concepts in geometry, physics, and computer graphics where spatial awareness and dimensions are critical.
Transcribed Image Text:The image depicts a three-dimensional coordinate system with a cube placed in the positive octant. The cube is oriented with its edges parallel to the three axes: x, y, and z. ### Description: - **Axes:** - The x-axis is drawn horizontally, extending from the origin to the left. - The y-axis is also horizontal but extends to the right. - The z-axis is vertical, extending upwards from the origin. - **Cube:** - The cube is positioned such that it sits in the first octant, where all the coordinates (x, y, z) are positive. - The cube's edges are aligned with each axis, indicating that the axes are perpendicular to each other. ### Explanation: This diagram is useful for understanding spatial relationships in a three-dimensional space and visualizing how objects can be positioned relative to a coordinate system. It can serve as an introductory model for exploring concepts in geometry, physics, and computer graphics where spatial awareness and dimensions are critical.
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