ElectrostaticsHard
Question
A hollow cylinder has charge q C within it. if φ is the electric flux in unit of voltmeter associated with the curved surface B, the flux liked with the plane surface A in unit of voltmeter will be


Options
A.

B.

C.

D.

Solution
Let electric flux linked with surface A, B and C are φA, φB and φC respectively.
Thus φtotal = φA + φB + φC
∵ φA = φC
and φtotal =
(Form Gauss′s Law)
∴
= 2φA + φB But φB = φ (given)
Hence,
= 2φA + φ
or
- φ = 2 φA or φa = 
Thus φtotal = φA + φB + φC
∵ φA = φC
and φtotal =
(Form Gauss′s Law) ∴
= 2φA + φB But φB = φ (given)Hence,
= 2φA + φ or
- φ = 2 φA or φa = 
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