wiz-icon
MyQuestionIcon
MyQuestionIcon
9
You visited us 9 times! Enjoying our articles? Unlock Full Access!
Question

A charge Q is placed symetrically at the centre of a closed cylinder as shown in the figure. The flux associated with the curved surface of the cylinder is


A

Q2ε0cosα

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

Qε0cosα

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C

2Qε0cosα

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Qε0sinα
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B

Qε0cosα


Flux through curved surface = Total flux through cylinder-Flux through caps A and B

ϕc=ϕtotal(ϕA+ϕB)...(1)

Using formula for flux through cone of semi angle α, flux through caps A and B:

ϕA=ϕB=Q2ε0(1cosα)

Total flux through closed
cylinder, ϕtotal=Qε0

So, from (1) flux through curved surface, ϕc=Qε02Q2ε0(1cosα)

ϕc=Qε0(11+cosα)

ϕc=Qε0cosα

Hence, option (b) is correct answer.


flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon