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Introducing Flux

If the total ...

Question

If the total electric flux through the paraboloidal surface due to a uniform electric field of magnitude $E_{0}$ in the direction shown in fig is $ϕ = X E_{0} π r^{2} / 2$ . Find out the value of X?

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Solution

total field lines entering the flat surface= total field lines leaving the curved surface
Therefore, flux = field perpendicular to flat surface $\times$ Area of flat surface = $E_{0} π r^{2}$

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