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?
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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Chapter1: Units, Trigonometry. And Vectors
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F127e312b-eb11-4e03-8035-8bed0448f3b8%2Fa9a01083-21de-4f81-ad21-3e3f9183225f%2Ftn8sb4_processed.png&w=3840&q=75)
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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