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The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center
(1) Zero
(2) E
(3)E/2
(4) E /3?
(1) Zero
(2) E
(3)E/2
(4) E /3?
Most Upvoted Answer
The electric field at a distance 3R 2 from center of a charged conduct...
Understanding the Problem
The question revolves around the electric field generated by a charged conducting spherical shell. We need to analyze the electric field at different distances from the center of the shell.
Key Concepts
- Conducting Spherical Shell: The charge resides on the surface, and the electric field inside the shell is zero.
- Electric Field Outside the Shell: For points outside the shell, the electric field behaves as if all the charge were concentrated at the center.
Electric Field Calculations
1. At Distance 3R:
- The electric field at distance 3R from the center is given as E.
- This indicates that the electric field can be calculated using the formula for the electric field due to a point charge: E = kQ/r².
2. At Distance 9R:
- Now, we need to evaluate the electric field at distance 9R from the center.
- According to the same principles, the electric field E' at 9R can be derived as follows:
- E' = kQ/(9R)² = kQ/(81R²) = E/9, considering E = kQ/(3R)².
Conclusion
- Since the electric field at 9R is E/9, we need to compare it to the given options:
- (1) Zero
- (2) E
- (3) E/2
- (4) E/3
None of these options match E/9 directly; however, it indicates that at 9R, the electric field is significantly weaker than at 3R.
Final Answer
- Therefore, the electric field at a distance of 9R from the center of the charged conducting spherical shell is none of the provided options. It can be concluded that E’ = E/9, which is less than E/3 but not specifically listed as an option.
The question revolves around the electric field generated by a charged conducting spherical shell. We need to analyze the electric field at different distances from the center of the shell.
Key Concepts
- Conducting Spherical Shell: The charge resides on the surface, and the electric field inside the shell is zero.
- Electric Field Outside the Shell: For points outside the shell, the electric field behaves as if all the charge were concentrated at the center.
Electric Field Calculations
1. At Distance 3R:
- The electric field at distance 3R from the center is given as E.
- This indicates that the electric field can be calculated using the formula for the electric field due to a point charge: E = kQ/r².
2. At Distance 9R:
- Now, we need to evaluate the electric field at distance 9R from the center.
- According to the same principles, the electric field E' at 9R can be derived as follows:
- E' = kQ/(9R)² = kQ/(81R²) = E/9, considering E = kQ/(3R)².
Conclusion
- Since the electric field at 9R is E/9, we need to compare it to the given options:
- (1) Zero
- (2) E
- (3) E/2
- (4) E/3
None of these options match E/9 directly; however, it indicates that at 9R, the electric field is significantly weaker than at 3R.
Final Answer
- Therefore, the electric field at a distance of 9R from the center of the charged conducting spherical shell is none of the provided options. It can be concluded that E’ = E/9, which is less than E/3 but not specifically listed as an option.
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The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3?
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The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3?.
The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric field at a distance 3R 2 from center of a charged conducting spherical shell of radius R is E The electre field at a distance 9R of this sphere is 11 from the center(1) Zero(2) E(3)E/2(4) E /3?.
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