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Question: Answered & Verified by Expert
A hollow cylinder has a charge q coulomb within it. If ϕ is the electric flux in units of Vm associated with the curved surface B , the flux linked with the plane surface A in units of Vm will be

PhysicsElectrostaticsNEET
Options:
  • A q 2 ε 0
  • B ϕ 3
  • C q ε 0 - ϕ
  • D 1 2 q ε 0 - ϕ
Solution:
2668 Upvotes Verified Answer
The correct answer is: 1 2 q ε 0 - ϕ
Let   ϕ A ϕ B   and   ϕ C  are the electric flux linked with A,Band C .

According to gauss theorem, ϕ total = q ε 0

ϕ A + ϕ B + ϕ C = q ε 0

Since  ϕ A = ϕ C ,

∴     2 ϕ A + ϕ B = q ε 0

or      2 ϕ A = q ε 0 - ϕ B   

or    2 ϕ A = q ε 0 - ϕ

(Given ϕ B = ϕ )

∴     ϕ A = 1 2 q ε 0 - ϕ

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