Here are 4 Gaussian spheres; A has radius 2R, while and D have radius R. Consider the charges associate B and C to be a distance of 2R from their centers.

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**Educational Website Content: Gaussian Spheres and Electric Flux**

**Introduction to Gaussian Spheres:**

The diagram presents four Gaussian spheres:

- **Sphere A**: Has a radius of 2R.
- **Spheres B, C, and D**: Each has a radius of R.
  
The charges associated with spheres B and C are positioned 2R from their centers.

**Question 8:**

Determine the correct ranking of net electric flux through the surfaces:

- a. D > A > C > B 
- b. A > D > C = B 
- c. A = C > D = B 
- d. A > C > D > B 

**Question 9:**

Consider if the size of sphere A doubles. How does this change the net flux through sphere A?

- a. 4 times larger
- b. no change
- c. half as much
- d. twice as large
- e. 4 times less

**Question 10:**

If charge C is moved twice as far away from its original position, how would this change the flux through sphere C?

- a. no change
- b. it would be 1/4 as much
- c. it would be twice as large
- d. it would be 4 times as large
- e. it would be half as much

**Analysis and Explanation:**

Each question involves calculations and understanding of electric flux through Gaussian surfaces, as dictated by Gauss's Law. The distances and dimensions of the spheres and positions of the charges will impact the net electric flux observed in each case.<|vq_6477|>
Transcribed Image Text:**Educational Website Content: Gaussian Spheres and Electric Flux** **Introduction to Gaussian Spheres:** The diagram presents four Gaussian spheres: - **Sphere A**: Has a radius of 2R. - **Spheres B, C, and D**: Each has a radius of R. The charges associated with spheres B and C are positioned 2R from their centers. **Question 8:** Determine the correct ranking of net electric flux through the surfaces: - a. D > A > C > B - b. A > D > C = B - c. A = C > D = B - d. A > C > D > B **Question 9:** Consider if the size of sphere A doubles. How does this change the net flux through sphere A? - a. 4 times larger - b. no change - c. half as much - d. twice as large - e. 4 times less **Question 10:** If charge C is moved twice as far away from its original position, how would this change the flux through sphere C? - a. no change - b. it would be 1/4 as much - c. it would be twice as large - d. it would be 4 times as large - e. it would be half as much **Analysis and Explanation:** Each question involves calculations and understanding of electric flux through Gaussian surfaces, as dictated by Gauss's Law. The distances and dimensions of the spheres and positions of the charges will impact the net electric flux observed in each case.<|vq_6477|>
Here are 4 Gaussian spheres: A has a radius of 2R, while B, C, and D have a radius of R. Consider the charges associated with B and C to be at a distance of 2R from their centers.

- Sphere A has a charge of +2q.
- Sphere B has a charge of +q.
- Sphere C has a charge of -2q.
- Sphere D has a charge of -q.
Transcribed Image Text:Here are 4 Gaussian spheres: A has a radius of 2R, while B, C, and D have a radius of R. Consider the charges associated with B and C to be at a distance of 2R from their centers. - Sphere A has a charge of +2q. - Sphere B has a charge of +q. - Sphere C has a charge of -2q. - Sphere D has a charge of -q.
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