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Electromagnetic Induction

Question

Wired Faculty App

A cylinder of radius R and length L is placed in a uniform electric field E parallel to the cylinder axis. The total flux for the surface of the cylinder is given by

2 $π$ R² E

$\frac{π R^{2}}{E}$

$\frac{R}{E}$

Zero

Solution

D.

Zero

Flux through surface A

$ϕ = E \times {πR}^{2}$

$ϕ_{A} = E \times π R^{2}$

Flux through curved surface

C = $\int E . dS$

= $\int Eds$ cos90^o

C = 0

Total flux through cylinder = $ϕ_{A} + ϕ_{B} + ϕ_{C}$

= 0

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