CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Charge on the outer sphere is q and the inner sphere is grounded. Then the charge q on the inner sphere is, for (r2>r1)




A
zero
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
q=q
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
q=r1r2q
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
q=r1r2q
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

Step 1: Given that:


Charge on outer sphere = q

Radius of outer sphere = r2

Radius of inner sphere = r1

The inner sphere is grounded.

Step 2: Calculation of charge(q') on the inner sphere:

As the inner sphere is grounded,

The net potential on the surface of inner sphere = 0

Now,

The potential at the surface of charged sphere is given by;

V=14πε0QR ..........(1)

Where Q is the charge on the sphere and R is the radius of the sphere.

Now, the electric potential on the inner surface is due to the charge on it as well as the charge on the outer sphere.

Therefore, the net potential on the inner sphere will be;

Vinner=14πϵ0qr1+14πϵ0qr2

But from equation (1), we get;

14πϵ0qr1+14πϵ0qr2=0

14πϵ0qr1=14πϵ0qr2

qr1=qr2

q=qr1r2

q=r1r2q

Hence,

Option C)r1r2q is the correct option.


flag
Suggest Corrections
thumbs-up
11
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Dielectrics
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon