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Question: Answered & Verified by Expert
If a small sphere of mass m and charge q is hanged from a silk thread at an angle θ with the surface of a vertical charged conducting plate, then for equilibrium of sphere the surface charge density of the plate -
PhysicsElectrostaticsJEE Main
Options:
  • A ε0mgtanθq
  • B 0mgtanθq
  • C ε0 mg q tan θ
  • D ε0mgtanθ3q
Solution:
1187 Upvotes Verified Answer
The correct answer is: 0mgtanθq



T sin θ = qE(1)

T cos θ = mg(2)

tan θ= q Emg = q σ2 ε0mg

σ = 2 ε0mgtanθq

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