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. $2\pi rE$
• B. $\left(\frac{2\pi }{l}\right)E$
• C. $2\pi rlE$
• D. $\frac{E}{2\pi rl}$
• E. zero

Answer 1

The correct option is E zero

Total flux emerging from the curved surface of the cylinder,
$\varphi =E\cdot ds=Eds\cos \theta$
Here, $\theta ={90}^o$
$\varphi =Eds\cos {90}^o$
$\varphi =0$.