A spherical conductor of rådius a is placed in a'uniform electric field E = Ek. The potential at a point E a P(r,0) for r>a, is given by, & (r,0) = constant Egrcos0 + -cos0 Where 'r'is the distance ofP from the centre O of the sphere and O'is the angle OP makes with the z- axis.

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A spherical conductor of rådius a is placed in a uniform electric field E = Ek. The potential at a point
P(r,0) for r>a, is given by, (7, 0) = constant E,rcos0 + co
Ea
cos O
Where 'r' is the distance of P from the centre O of the sphere and O is the angle OP makes with the z-
axis.
P.
CAREER ENDEAVOUR
The charge density on the sphere at 0 = 30° is :
%3D
(a) 3/3 €,E, 12
(b) 3ɛ,E, /2
(c) V3€,E, /2
(d) ɛ,E, /2
Transcribed Image Text:A spherical conductor of rådius a is placed in a uniform electric field E = Ek. The potential at a point P(r,0) for r>a, is given by, (7, 0) = constant E,rcos0 + co Ea cos O Where 'r' is the distance of P from the centre O of the sphere and O is the angle OP makes with the z- axis. P. CAREER ENDEAVOUR The charge density on the sphere at 0 = 30° is : %3D (a) 3/3 €,E, 12 (b) 3ɛ,E, /2 (c) V3€,E, /2 (d) ɛ,E, /2
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