A cylinder of radius r and length l is placed in a uniform electric field of intensity E acting parallel to the axis of the cylinder. The total flux over curved surface area is

Question

A cylinder of radius r and length l is placed in a uniform electric field of intensity E acting parallel to the axis of the cylinder. The total flux over curved surface area is (A) 2π rE (B) ((2π/l))E (C) 2π rlE (D) (E/2π rl)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/229b749d5ec1fdb931ed42a7a32101ca-.png" /> Total flux emerging from the curved surface of the cylinder, φ= E ⋅ ds =E d s cos θ Here, θ =90° φ=E d s cos 90° φ=0

Q. A cylinder of radius $r$ and length $l$ is placed in a uniform electric field of intensity $E$ acting parallel to the axis of the cylinder. The total flux over curved surface area is

$2 π r E$

$(\frac{2 π}{l}) E$

$2 π r lE$

$\frac{E}{2 π r l}$

Zero

Total flux emerging from the curved surface of the cylinder,
$ϕ = E \cdot d s = E d s cos θ$
Here, $θ = 9 0^{\circ}$
$ϕ = E d s cos 9 0^{\circ}$
$ϕ = 0$

Q. A cylinder of radius r and length l is placed in a uniform electric field of intensity E acting parallel to the axis of the cylinder. The total flux over curved surface area is

2πrE

(l2π​)E

2πrlE

2πrlE​