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MHT CET 2025 (20 Apr, Shift 1) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from MHT CET 2025 (20 Apr, Shift 1)

Q22MHT CET 2025 · 20 APR · SHIFT 1Easy

Electric Flux & Gauss's Law

A hollow cylinder has a charge of ' $q$ ' $C$ within it. If $\phi$ is the electric flux associated with the curved surface B, the flux linked with the plane surface A will be

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Answer: (d)

Total flux: $\phi_A + \phi_B + \phi_C = \dfrac{q}{\varepsilon_0}$ , with $\phi_B = \phi$ (curved surface).
By symmetry the flat ends share equally: $\phi_A = \phi_C$ .
$\phi_A = \dfrac{1}{2}\left(\dfrac{q}{\varepsilon_0} - \phi\right)$
So the answer is (d).

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