Question

A hemispherical surface of the radius R is placed in a uniform electric field of strength E parallel to axis of the hemisphere. The electric flux through the curved surface of the hemisphere is

• A. zero
• B. $ 3\pi {{R}^{2}}E $
• C. $ 2\pi {{R}^{2}}E $
• D. $ \pi {{R}^{2}}E $

Answer 1

Answer: (C)

: Flux $ \phi =E(dS)cos\theta $ $ =E(2\pi {{R}^{2}})\cos 0{}^\circ =2\pi {{R}^{2}}E $