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Electric Charges and Fields

  1. A hollow cylinder has a charge q coulomb within it. If φ is the electric flux in units of voltmeter associated with the curved surface B, the flux linked with the plane surface A in units of voltmeter will be​​​
    1. q
      0
    2. φ
      3

    3. q
      - φ
      ε0
    4. 1
      q
      - φ
      2ε0
Correct Option: D

Since φtotal = φA + φB + φC =
q
ε0

where q is the total charge.
​As shown in the figure, flux associated with the curved surface B is φ = φB
​Let us assume flux linked with the plane surfaces A and C be
φA = φC = φ'
Therefore,
q
= 2φ' + φB = 2φ' + φ
ε0

⇒ φ' =
1
q
- φ
2ε0



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