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Q.

Calculate the total electric flux through the paraboloidal surface due to a uniform electric field of magnitude $E_{0}$ in the direction shown in figure.

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a

$\frac{E_{0} π r^{2}}{2}$

b

$\frac{E_{0} π r^{2}}{3}$

c

Zero

d

$E_{0} π r^{2}$

answer is D.

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Detailed Solution

Since net flux through the whole body is zero.
So flux through flat surface ( $E_{0} π r^{2}) =$ flux through paraboloidal surface

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