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(1−cosα)
Total flux through closed
cylinder, ϕtotal=Qε0
So, from (1) flux through curved surface, ϕc=Qε0−2Q2ε0(1−cosα)