Question

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

A
Zero
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
πR2E
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2πR2E
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
EπR2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A Zero As the cylinder is closed so, the total flux ϕtotal passing through the flux will be zero.i.e., ϕtotal=0 Cylinder have two circular faces A and B and a curved surface as shown in figure. So ϕtotal=ϕA+ϕB+ϕcurved ……(1) For face A: Electric flux ϕA=−EA [∵θ=180∘] For face B: Electric flux, ϕB=EA [∵ϕ=0∘] So the net electric flux through circular faces, ϕtotal=ϕcurved+−EA+EA=0 Now, from (1), ϕcurved=0 Alternative Method: Since none of the field lines are actually cutting the curved surface so flux is zero. Hence, option (a) is correct answer.

Suggest Corrections
0
Join BYJU'S Learning Program
Related Videos
Applications of Gauss' Law and the Idea of Symmetry
PHYSICS
Watch in App
Explore more
Join BYJU'S Learning Program