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Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.
Correct answer is '3'. Can you explain this answer?
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Consider two concentric non-conducting uniformly charged spherical she...
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Consider two concentric non-conducting uniformly charged spherical she...
Calculation of Interaction Potential Energy between Two Spheres:
Given Data:
- Radius of smaller sphere (r1) = 3m
- Charge on smaller sphere (Q1) = 10 µC
- Radius of larger sphere (r2) = 6m
- Charge on larger sphere (Q2) = 200 µC
- Permittivity of free space (ε0) = 8.85 x 10-12 C2/N m2
Calculation:
- Interaction potential energy (U) between two charged spheres is given by the formula:
U = (Q1 * Q2) / (4πε0 * r)
- Substituting the given values into the formula:
U = (10 x 10-6 * 200 x 10-6-12 * 3)
U = (2 x 10-6) / (4π * 8.85 x 10-12 * 3)
U = (2 x 10-6) / (4π * 26.55 x 10-12)
U = (2 x 10-6) / (105.6 x 10-12)
U = 0.0189 / 0.1056
U = 0.1786 J
Conclusion:
The interaction potential energy between the two spheres is approximately 0.1786 Joules. Therefore, the correct answer is not '3'.
Given Data:
- Radius of smaller sphere (r1) = 3m
- Charge on smaller sphere (Q1) = 10 µC
- Radius of larger sphere (r2) = 6m
- Charge on larger sphere (Q2) = 200 µC
- Permittivity of free space (ε0) = 8.85 x 10-12 C2/N m2
Calculation:
- Interaction potential energy (U) between two charged spheres is given by the formula:
U = (Q1 * Q2) / (4πε0 * r)
- Substituting the given values into the formula:
U = (10 x 10-6 * 200 x 10-6-12 * 3)
U = (2 x 10-6) / (4π * 8.85 x 10-12 * 3)
U = (2 x 10-6) / (4π * 26.55 x 10-12)
U = (2 x 10-6) / (105.6 x 10-12)
U = 0.0189 / 0.1056
U = 0.1786 J
Conclusion:
The interaction potential energy between the two spheres is approximately 0.1786 Joules. Therefore, the correct answer is not '3'.
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Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer?
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Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer?.
Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two concentric non-conducting uniformly charged spherical shells of radius 3m and 6m having charges 10 µC and 200 µC respectively. Find the interaction potential energy between two spheres in joules.Correct answer is '3'. Can you explain this answer?.
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