The flat base of a hemisphere of radius a with no charge inside it lies in a horizontal plane. A uniform electric field $E$ is applied at an angle $\frac{π}{4}$ with the vertical direction. The electric flux through the curved surface of the hemisphere is

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We know that, ϕ = ∮ E ⋅ d S = E ∮ d S cos 4 5 ∘ In case of hemisphere ϕ curved ​ = ϕ circular ​ Therefore, ϕ curved ​ = E π a 2 ⋅ 2 ​ 1 ​ = 2 ​ E π a 2 ​

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