Three, equal, positive, point charges are moved through a uniform electric field as shown in the diagram below. Let W1, W2, and W3 equal the amount of work done by the electric field on charges q1, q2, and q3 respectively. Which of the following statements is true?
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Three, equal, positive, point charges are moved through a uniform electric field as shown in the diagram below. Let W1, W2, and W3 equal the amount of work done by the electric field on charges q1, q2, and q3 respectively. Which of the following statements is true?
a. W1 > W3 > W2
b. W3 < W2 < W1
c. W2 > W3 > W1
d. W1 < W2 < W3
e. W1 = W2 = W3
![**Title: Understanding Work Done by an Electric Field on Point Charges**
**Introduction:**
Three, equal, positive, point charges are moved through a uniform electric field as shown in the diagram below. Let \( W_1 \), \( W_2 \), and \( W_3 \) equal the amount of work done by the electric field on charges \( q_1 \), \( q_2 \), and \( q_3 \) respectively. Which of the following statements is true?
**Diagram Explanation:**
- The diagram displays a uniform electric field (\(\vec{E}\)) directed towards the right.
- Three positive point charges, labeled \( q_1 \), \( q_2 \), and \( q_3 \), are shown moving from \( x = 2.0 \, \text{m} \) to \( x = 5.0 \, \text{m} \).
- \( q_1 \) moves in a straight horizontal line.
- \( q_2 \) follows a slightly descending linear path.
- \( q_3 \) moves along an ascending and then descending path, forming a loop.
- The y-axis represents position, while the x-axis represents the horizontal distance within the field.
**Choices:**
a. \( W_1 > W_3 > W_2 \)
b. \( W_3 < W_2 < W_1 \)
c. \( W_2 > W_3 > W_1 \)
d. \( W_1 < W_2 < W_3 \)
e. \( W_1 = W_2 = W_3 \)
**Conclusion:**
Consider the path taken by each charge within the electric field to determine the work done. As the electric field is uniform and the charges are equal, focus on the horizontal displacement and path orientation relative to the field direction.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8ede0637-a731-4aa5-a543-54dacf89e51e%2F34d3f6f2-8d26-4305-bfb0-f26dd36bedab%2Frw8w822_processed.png&w=3840&q=75)
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