1outer has to be a shperical concentric shell not a sphere
1take both of them as shell. ok
1
Euclid
·2010-11-01 02:02:22
no inner has to be a sphere:)
now it can be considered as a system of two capacitors as shown, first between the earthed sphere and shell and the second between shell and earth, that are clearly in parallel combination.
So C1 = 4Πε0abb - a (a general solution)
and C2 = 4Πε0b (for spherical conductor)
hence Ceff = C1 + C2
or Ceff = 4Πε0b2b - a
1
Euclid
·2010-11-01 02:04:03
this can also be proved by finding out the potential difference between the two...
49now the obvious question will be that WHY IS THERE 2 CAPACITANCES CONSIDERED INSTEAD OF 1??
i feel Euclid will like to answer it himself!!