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Consider a solid conducting sphere of ra- dius R and total charge Q. Which diagram describes the E(r) vs r (electric field vs radial distance) function for the sphere?

Consider a solid conducting sphere of ra- dius R and total charge Q. Which diagram describes the E(r) vs r (electric field vs radial distance) function for the sphere?

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The image contains two parts titled "part 1 of 2" and "part 2 of 2," both focusing on the electric field \( E(r) \) as a function of radial distance \( r \). --- **Part 1 of 2** - **Text Description:** - A solid conducting sphere with radius \( R \) and total charge \( Q \) is considered. The task is to determine which diagram correctly represents the function \( E(r) \) (electric field versus radial distance) for the sphere. - **Diagram Descriptions:** - Five diagrams labeled \( S \), \( L \), \( G \), \( P \), and \( M \) represent various graphs of \( E(r) \). - **Diagram \( S \):** - The graph shows an initial increase from \( r = 0 \) to a peak near \( r = R \), then follows a curve identified as proportional to \( \frac{1}{r^2} \) indicating a decrease. - **Diagram \( L \):** - The graph remains at zero for \( r < R \), then follows a curve that decreases proportionally to \( \frac{1}{r^2} \) for \( r > R \). - **Diagram \( G \):** - Similar to \( L \), starting at zero for \( r < R \), but differs in scale and slope of the decreasing curve for \( r > R \). - **Diagram \( P \):** - Begins with zero for \( r < R \), then curves down proportional to \( \frac{1}{r} \) for \( r > R \), showing a different decline rate. - **Diagram \( M \):** - Flat line at zero for \( r < R \), transitioning to a decline proportional to \( \frac{1}{r^2} \) for larger \( r \), similar to other diagrams but with a different initial behavior. - **Question:** - The question on the right asks which diagram describes the function \( E(r) \) for the mentioned scenario. - **Answer Options:** - Options are provided to select the corresponding diagram (1. \( S \), 2. \( L \), 3. \( G \), 4. \( P \), 5. \( M \)). --- **Part 2 of 2** - **
Transcribed Image Text:The image contains two parts titled "part 1 of 2" and "part 2 of 2," both focusing on the electric field \( E(r) \) as a function of radial distance \( r \). --- **Part 1 of 2** - **Text Description:** - A solid conducting sphere with radius \( R \) and total charge \( Q \) is considered. The task is to determine which diagram correctly represents the function \( E(r) \) (electric field versus radial distance) for the sphere. - **Diagram Descriptions:** - Five diagrams labeled \( S \), \( L \), \( G \), \( P \), and \( M \) represent various graphs of \( E(r) \). - **Diagram \( S \):** - The graph shows an initial increase from \( r = 0 \) to a peak near \( r = R \), then follows a curve identified as proportional to \( \frac{1}{r^2} \) indicating a decrease. - **Diagram \( L \):** - The graph remains at zero for \( r < R \), then follows a curve that decreases proportionally to \( \frac{1}{r^2} \) for \( r > R \). - **Diagram \( G \):** - Similar to \( L \), starting at zero for \( r < R \), but differs in scale and slope of the decreasing curve for \( r > R \). - **Diagram \( P \):** - Begins with zero for \( r < R \), then curves down proportional to \( \frac{1}{r} \) for \( r > R \), showing a different decline rate. - **Diagram \( M \):** - Flat line at zero for \( r < R \), transitioning to a decline proportional to \( \frac{1}{r^2} \) for larger \( r \), similar to other diagrams but with a different initial behavior. - **Question:** - The question on the right asks which diagram describes the function \( E(r) \) for the mentioned scenario. - **Answer Options:** - Options are provided to select the corresponding diagram (1. \( S \), 2. \( L \), 3. \( G \), 4. \( P \), 5. \( M \)). --- **Part 2 of 2** - **
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