A hollow cylinder has a charge q coulomb within it. If Φ is the electric flux in units of V-m associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be: [Diagram: Image]
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Question

A hollow cylinder has a charge q coulomb within it. If Φ is the electric flux in units of V-m associated with the curved surface B, the flux linked with the plane surface A in units of V-m will be: [Diagram: Image]

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G1 Physics · Accepted Answer

Step 1: Closed Gaussian cylinder comprises two plane ends A and C and curved surface B. Step 2: Net flux Φₐ + Φᵦ + Φ𝒸 = q/ε₀. Step 3: By symmetry of plane ends Φₐ = Φ𝒸; Φᵦ = Φ. Step 4: 2Φₐ + Φ = q/ε₀ ⇒ Φₐ = (q/ε₀ − Φ)/2.