The flat base of a hemisphere of radius $a$ with no charge inside it lies in a horizontal plane. A uniform electric field $\vec E$ is applied at an angle $\frac {\pi }{4}$ with the vertical direction. The electric flux through the curved surface of the hemisphere is
The flat base of a hemisphere of radius $a$ with no charge inside it lies in a horizontal plane. A uniform electric field $\vec E$ is applied at an angle $\frac {\pi }{4}$ with the vertical direction. The electric flux through the curved surface of the hemisphere is
- [AIEEE 2012]
- A
$\pi {a^2}E$
- B
$\frac{{\pi {a^2}E}}{{\sqrt 2 }}$
- C
$\frac{{\pi {a^2}E}}{{2\sqrt 2 }}$
- D
$\frac{{(\pi + 2)\,\pi {a^2}E}}{{{{(2\sqrt 2 )}^2}}}$
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