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  4. A charge q is placed at the centre of the open end of a cylindrical vessel. The flux of the electric field through the surface of the vessel is

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Q. A charge $q$ is placed at the centre of the open end of a cylindrical vessel. The flux of the electric field through the surface of the vessel is

Electric Charges and Fields

Solution:

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Total flux through the cylindrical gaussian surface $=\frac{q}{\varepsilon_{0}}$
Flux through open cylinder $=\frac{1}{2}$ (Total flux)
$=\frac{q}{2 \varepsilon_{0}}$