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Question: Answered & Verified by Expert
In a spherical distribution, the charge density varies as ρr=Ar for a<r<b (as shown) where A is a constant. A point charge Q lies at the centre of the sphere at r=0. The electric field in the region a<r<b has a constant magnitude for

PhysicsElectrostaticsJEE Main
Options:
  • A A=0
  • B A=Q
  • C A = Q 2 π a 2
  • D A = Q 4 π a 2
Solution:
2917 Upvotes Verified Answer
The correct answer is: A = Q 2 π a 2
Q in = a r A r × 4 π r 2 dr + Q = 2 π A r 2 - a 2 + Q

E=Qin4πr2ε0E=A2-a2A2r2+Q4πr2ε0

For E = constant,

- a 2 A 2r 2 + Q 4 π r 2 = 0

A = Q 2 π a 2

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