In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed. The electric flux φ through the bowl is

Question

In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed. The electric flux φ through the bowl is (A) 2 π R E (B) 4 π R2 E (C) 2 π R2 E (D) π R2 E

Tardigrade Admin · Accepted Answer

φ= E ( ds ) cos θ= E (2 π r 2) cos 0°=2 π r 2 E.

Q. In a region of space having a uniform electric field $E$ , a hemispherical bowl of radius $r$ is placed. The electric flux $ϕ$ through the bowl is

$2 π RE$

$4 π R^{2} E$

$2 π R^{2} E$

$π R^{2} E$

$ϕ = E (d s) cos θ = E (2 π r^{2}) cos 0^{\circ} = 2 π r^{2} E$ .

Q. In a region of space having a uniform electric field E, a hemispherical bowl of radius r is placed. The electric flux ϕ through the bowl is

2πRE

4πR2E

2πR2E

πR2E