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Q.

Two spherical conductors of radii R1  and  R2  are separated by a distance much larger than the radius of either sphere. The spheres are connected by a conducting wire as shown in figure. If the charges on the spheres in equilibrium are q1  and  q2, respectively, what is the ratio of the field strength at the surfaces of the spheres?

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a

R2/R1

b

R22/R12

c

R1/R2

d

R12/R22

answer is A.

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Detailed Solution

Their potential will be same, i.e., V1=V2 or kq1R1−kq2R2  or  q1q2−R1R2or E1E2=kq1/R12kq2/R22=q1q2(R2R1)2=R1R2(R2R1)2=R2R1
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