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MHT CET 2024 (16 May, Shift 2) · Electric Flux & Gauss's Law

Electric Flux & Gauss's Law question from MHT CET 2024 (16 May, Shift 2)

Q37MHT CET 2024 · 16 MAY · SHIFT 2Easy

Electric Flux & Gauss's Law

A hollow cylinder has charge ' $q$ ' $C$ 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: (a)

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 (a).

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