There are two concentric metal shells of radii r 1 and r 2 (> r 1 ). If initially, the outer shell has a charge q and the inner shell is having zero charge and then inner shell is grounded. Find:
(i) Charge on the inner surface of outer shell.
(ii) Final charges on each sphere.
(iii) Charge flown through wire in the ground.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i) (r 1 /r 2 )q
(ii) Charge on inner shell= –(r 1 /r 2 )q and charge on the outer shell = q
(iii) Charge flown in to the earth =(r 1 /r 2 )q
Sol.
Let charge q' appears on the inner shell after grounding
(i) potential of inner shell = 0 (grounded)
∴ 
– 
+ 
= 0
or 
= 
∴ q' = 
∴ charge on inner surface of outer shell ⇒ –q'
or ; k – q' = 
(ii) Final charges on spheres:
inner sphere → q' = 
outer sphere → q
(iii) initial charges on inner sphere = 0
final charges on inner sphere = q'
or charge flown from inner sphere to earth ⇒ – q' = 
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