ElectrostaticsMedium
Question
An insulated non-conducting solid sphere of radius a, carrying a positive charge +4Q uniformly distributed throughout its volume, is surrounded by a concentric thick conducting spherical shell of inner radius b and outer radius c. This thick shell carries a negative charge −2Q (see figure). The correct options are :-
Options
A.Electric field strength at distance r (r < a) from the center has magnitude E = (1/(4πε0)) (4Q/a3) r, directed radially outward
B.Charge on the inner surface of the conducting spherical shell is +2Q
C.Charge on the outer surface of the conducting spherical shell is +2Q
D.Electrical energy stored in region 0 < r < a [i.e. in the inner sphere] is 2Q2/(5πε0a)
Solution
Gauss's law gives E = 4Qr/(4πε0a3) inside the sphere, so A is true.
The inner shell surface carries −4Q and the outer +2Q, so B is false and C true.
The field energy inside is (4Q)2/(40πε0a) = 2Q2/(5πε0a), so D is true.
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