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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...
Let's consider the inner shell first.
The charge density on the inner shell can be calculated using the formula:
ρ = Q / (4πr^2)
where ρ is the charge density, Q is the total charge, and r is the radius of the shell.
Given that the inner shell has a radius of 3m and a charge of 10μC (10 * 10^-6 C), we can calculate the charge density:
ρ_inner = (10 * 10^-6 C) / (4π(3m)^2) = (10 * 10^-6 C) / (36π m^2) = 10 / (36π) * 10^-6 C/m^2
Now let's consider the outer shell.
The charge density on the outer shell can also be calculated using the same formula:
ρ = Q / (4πr^2)
Given that the outer shell has a radius of 6m and a charge of -20μC (-20 * 10^-6 C), we can calculate the charge density:
ρ_outer = (-20 * 10^-6 C) / (4π(6m)^2) = (-20 * 10^-6 C) / (144π m^2) = -5 / (36π) * 10^-6 C/m^2
So, the charge density on the inner shell is 10 / (36π) * 10^-6 C/m^2 and the charge density on the outer shell is -5 / (36π) * 10^-6 C/m^2.
The charge density on the inner shell can be calculated using the formula:
ρ = Q / (4πr^2)
where ρ is the charge density, Q is the total charge, and r is the radius of the shell.
Given that the inner shell has a radius of 3m and a charge of 10μC (10 * 10^-6 C), we can calculate the charge density:
ρ_inner = (10 * 10^-6 C) / (4π(3m)^2) = (10 * 10^-6 C) / (36π m^2) = 10 / (36π) * 10^-6 C/m^2
Now let's consider the outer shell.
The charge density on the outer shell can also be calculated using the same formula:
ρ = Q / (4πr^2)
Given that the outer shell has a radius of 6m and a charge of -20μC (-20 * 10^-6 C), we can calculate the charge density:
ρ_outer = (-20 * 10^-6 C) / (4π(6m)^2) = (-20 * 10^-6 C) / (144π m^2) = -5 / (36π) * 10^-6 C/m^2
So, the charge density on the inner shell is 10 / (36π) * 10^-6 C/m^2 and the charge density on the outer shell is -5 / (36π) * 10^-6 C/m^2.
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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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