Q.

Two spherical conductors A and B of radii 1 mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in the equilibrium condition the ratio of electric fields at surfaces of A and B is

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a

4: 1

b

1 : 2

c

2 : 1

d

1 : 4

answer is C.

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Detailed Solution

V=K⋅QR V2=K⋅Q2R=K⋅QR12K⋅QR=K⋅Qd d=2RWhen the two conducting spheres are connected by a conducting wire, charge will flow from one sphere (having higher potential) to other (having lower potential) till both acquire the same potential. Therefore, E=Vr⇒E1E2=r2r1=21=2:1
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Two spherical conductors A and B of radii 1 mm and 2mm are separated by a distance of 5 cm and are uniformly charged. If the spheres are connected by a conducting wire then in the equilibrium condition the ratio of electric fields at surfaces of A and B is