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A hollow cylindrical shell of length L and radius Rhas charge Q uniformly distributed along its length. You may assume that the potential is defined to be zero at a distance of 1 meter from the center of the system and that the length Lis much longer than the radius R. (Figure 1) Figure 1 of 1

A hollow cylindrical shell of length L and radius Rhas charge Q uniformly distributed along its length. You may assume that the potential is defined to be zero at a distance of 1 meter from the center of the system and that the length Lis much longer than the radius R. (Figure 1) Figure 1 of 1

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**Text Description:** A hollow cylindrical shell of length \( L \) and radius \( R \) has charge \( Q \) uniformly distributed along its length. You may assume that the potential is defined to be zero at a distance of 1 meter from the center of the system and that the length \( L \) is much longer than the radius \( R \). **Diagram Explanation:** The figure illustrates a hollow cylindrical shell. It is depicted as a three-dimensional shape, open at the top and bottom, with arrows pointing outward from the cylindrical surface. These arrows suggest the uniform distribution of charge \( Q \) along the length of the cylinder. The emphasis on the length \( L \) being much greater than the radius \( R \) is crucial for understanding the distribution and effects of the charge, particularly in flux and potential calculations.
Transcribed Image Text:**Text Description:** A hollow cylindrical shell of length \( L \) and radius \( R \) has charge \( Q \) uniformly distributed along its length. You may assume that the potential is defined to be zero at a distance of 1 meter from the center of the system and that the length \( L \) is much longer than the radius \( R \). **Diagram Explanation:** The figure illustrates a hollow cylindrical shell. It is depicted as a three-dimensional shape, open at the top and bottom, with arrows pointing outward from the cylindrical surface. These arrows suggest the uniform distribution of charge \( Q \) along the length of the cylinder. The emphasis on the length \( L \) being much greater than the radius \( R \) is crucial for understanding the distribution and effects of the charge, particularly in flux and potential calculations.
**Question:** What is the electric field outside the cylindrical shell for \( r > R \)? Express your answer in terms of variables \( Q, L, r, \) and \( R \). Combine all numerical values together into one multiplier. **Hint:** There is an option to view available hints by expanding the "View Available Hint(s)" section. **Equation Editor:** The diagram shows an equation editor with various mathematical symbols and operations, including options for exponents \( x^a \), fractions \( \frac{a}{b} \), square roots \(\sqrt{x}\), nth roots \(\sqrt[n]{x}\), and others such as absolute values \(|x|\) and scientific notation \( x \cdot 10^n \). **Answer Field:** There is a text field labeled "E_\text{outside}" where the answer should be entered for \( r > R \).
Transcribed Image Text:**Question:** What is the electric field outside the cylindrical shell for \( r > R \)? Express your answer in terms of variables \( Q, L, r, \) and \( R \). Combine all numerical values together into one multiplier. **Hint:** There is an option to view available hints by expanding the "View Available Hint(s)" section. **Equation Editor:** The diagram shows an equation editor with various mathematical symbols and operations, including options for exponents \( x^a \), fractions \( \frac{a}{b} \), square roots \(\sqrt{x}\), nth roots \(\sqrt[n]{x}\), and others such as absolute values \(|x|\) and scientific notation \( x \cdot 10^n \). **Answer Field:** There is a text field labeled "E_\text{outside}" where the answer should be entered for \( r > R \).
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