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FIGURE 22-31 Problems 4, 5, and 6 5. CE Referring to Figure 22-31, what is the sign of the charge for each of the three particles? Explain. 6. • CE Suppose the three particles in Figure 22-31 have the same mass and speed. Rank the particles in order of increasing mag- nitude of their charge. Indicate ties where appropriate.

FIGURE 22-31 Problems 4, 5, and 6 5. CE Referring to Figure 22-31, what is the sign of the charge for each of the three particles? Explain. 6. • CE Suppose the three particles in Figure 22-31 have the same mass and speed. Rank the particles in order of increasing mag- nitude of their charge. Indicate ties where appropriate.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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### Understanding Electric Fields: Particle Charges and Behavior **Figure 22-31: Problems 4, 5, and 6** The figure illustrates three charged particles A, B, and C moving through a uniform field represented by evenly spaced circles with arrows pointing to the right. The particles follow different curved paths through this field, with each path illustrating the influence of the electric field on charges. #### Problems: **5. Conceptual Exercise (CE)** *Question:* Referring to Figure 22-31, what is the sign of the charge for each of the three particles? Explain. *Answer Analysis:* - Particle A curves downwards, which suggests it is negatively charged if we interpret the field direction as the direction a positive charge would be influenced. - Particle B curves upwards and also moves in the opposite direction to A, which implies it is positively charged. - Particle C curves more sharply downwards than A, suggesting a stronger interaction with the field, and hence, it is also negatively charged but possibly with a greater magnitude than A. **6. Conceptual Exercise (CE)** *Question:* Suppose the three particles in Figure 22-31 have the same mass and speed. Rank the particles in order of increasing magnitude of their charge. Indicate ties where appropriate. *Answer Analysis:* - Particle B exhibits a path that curves the least, implying it has the smallest interaction with the electric field, hence the smallest charge. - Particle A curves more than B but less than C, suggesting it has a charge larger than B but smaller than C. - Particle C curves the most sharply, which implies it has the greatest magnitude of charge. Therefore, the ranking in terms of increasing charge magnitude is: B < A < C. **Graph Explanation:** - The graph shows three distinct paths (A, B, and C) of particles in a uniform electric field. - The field is represented as a grid of circles with arrows pointing to the right, indicating the direction. - Particle A follows a moderately curved path downward, Particle B follows a slightly upward curve, while Particle C follows a sharply curved path downward. This explanation and analysis provide a foundational understanding of how charges interact with electric fields, critical for deeper study in electromagnetism.
Transcribed Image Text:### Understanding Electric Fields: Particle Charges and Behavior **Figure 22-31: Problems 4, 5, and 6** The figure illustrates three charged particles A, B, and C moving through a uniform field represented by evenly spaced circles with arrows pointing to the right. The particles follow different curved paths through this field, with each path illustrating the influence of the electric field on charges. #### Problems: **5. Conceptual Exercise (CE)** *Question:* Referring to Figure 22-31, what is the sign of the charge for each of the three particles? Explain. *Answer Analysis:* - Particle A curves downwards, which suggests it is negatively charged if we interpret the field direction as the direction a positive charge would be influenced. - Particle B curves upwards and also moves in the opposite direction to A, which implies it is positively charged. - Particle C curves more sharply downwards than A, suggesting a stronger interaction with the field, and hence, it is also negatively charged but possibly with a greater magnitude than A. **6. Conceptual Exercise (CE)** *Question:* Suppose the three particles in Figure 22-31 have the same mass and speed. Rank the particles in order of increasing magnitude of their charge. Indicate ties where appropriate. *Answer Analysis:* - Particle B exhibits a path that curves the least, implying it has the smallest interaction with the electric field, hence the smallest charge. - Particle A curves more than B but less than C, suggesting it has a charge larger than B but smaller than C. - Particle C curves the most sharply, which implies it has the greatest magnitude of charge. Therefore, the ranking in terms of increasing charge magnitude is: B < A < C. **Graph Explanation:** - The graph shows three distinct paths (A, B, and C) of particles in a uniform electric field. - The field is represented as a grid of circles with arrows pointing to the right, indicating the direction. - Particle A follows a moderately curved path downward, Particle B follows a slightly upward curve, while Particle C follows a sharply curved path downward. This explanation and analysis provide a foundational understanding of how charges interact with electric fields, critical for deeper study in electromagnetism.
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