Question

A cylinder of radius R and length L is placedin the uniform electric field E perpendicular to the cylinder axis. The total flux entering in to curved surface of the cylinder is given by

Answer 1

Answer:

zero

Explanation:

At any point on the curved surface, E and area vector are perpendicular to each other

therefore E.dS=0

⇒ϕ=0

Answer 2

Answer:

Total flux entering the cylinder with length L and radius R is 2πRL E.

Explanation:

total  flux entering the surface is given by

  ∅  =  E.ds

where  E is electric field          

           ds is area element

now, for given cylinder of length L and radius R  in uniform electric field E   ∅ = E.da₁ + E.da₂ + E.da₃

da₁ and da₃ are area perpendicular to  cylindrical axis

so E.da₁ and E.da₃ will be zero.

 ∅ = E .da₂

curved surface area of cylinder is2πRL.

  ∅ = E (  2πRL)

∅= 2πRL E