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

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)  3π R2E  (C)  2π R2E  (D)  π R2E

Tardigrade Admin · Accepted Answer

: Flux φ =E(dS)cosθ =E(2π R2) cos 0° =2π R2E

Q. 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

zero

$3 π R^{2} E$

$2 π R^{2} E$

$π R^{2} E$

: Flux $ϕ = E (d S) cos θ$ $= E (2 π R^{2}) cos 0^{\circ} = 2 π R^{2} E$

Q. 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

zero

3πR2E

2πR2E

πR2E

: Flux ϕ=E(dS)cosθ =E(2πR2)cos0∘=2πR2E

$3 π R^{2} E$

$2 π R^{2} E$

$π R^{2} E$

: Flux $ϕ = E (d S) cos θ$ $= E (2 π R^{2}) cos 0^{\circ} = 2 π R^{2} E$