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Find the charged enclosed by a sphere of charge density ρ and radius a. 
  • a)
    ρ (4πa2)
  • b)
    ρ(4πa3/3)
  • c)
    ρ(2πa2)
  • d)
    ρ(2πa3/3)
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Find the charged enclosed by a sphere of charge density ρ and radi...
Answer: b
Explanation: The charge enclosed by the sphere is Q = ∫∫∫ ρ dv.
Where, dv = r2 sin θ dr dθ dφ and on integrating with r = 0->a, φ = 0->2π and θ = 0->π, we get Q = ρ(4πa3/3).
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Find the charged enclosed by a sphere of charge density ρ and radius a.a)ρ (4πa2)b)ρ(4πa3/3)c)ρ(2πa2)d)ρ(2πa3/3)Correct answer is option 'B'. Can you explain this answer?
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