1μC charge is uniformly distributed on a spherical shell given by equation x2+y2+z2=25. What will be the flux through an imaginary sphere of radius 3m and centre at origin ?
A
25N-m2/C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
50N-m2/C
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
5N-m2/C
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 Given:
Charge, q=1μC=10−6C.
Equation of spherical shell, x2+y2+z2=25
that means, centre of spherical shell is origin and radius, R=5m.
Radius of imaginary sphere, r=3m
Here, R>r
As there is no charge inside the imaginary sphere, i.e. q=0.
So, electric flux ϕ through imaginary sphere is given by