wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
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
EπR2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2πR2E
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
πR2E
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Zero
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D 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.

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon