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Question: Answered & Verified by Expert
A circle of radius a has charge density given by λ=λ0cos2θ on its circumference, where λ0 is a positive constant and θ is the angular position of a point on the circle with respect to some reference line. The potential at the centre of the circle is
PhysicsElectrostaticsJEE Main
Options:
  • A λ04ε0
  • B zero
  • C λ02ε0
  • D λ0ε0
Solution:
2054 Upvotes Verified Answer
The correct answer is: λ04ε0

dq=λadθ=λ0cos2θa dθ

q= θ=0θ=2πλ0cos2θa dθ=λ0πa 

V=q4πε0a=λ04ε0

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