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Question

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 Fig. 3.128. 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 ?

A
R2/R1
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B
R22/R11
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C
R1/R2
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D
R21/R22
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Solution

The correct option is A R2/R1Their potential will be same, i.e, V1=V2or kq1R1=kq2R2 or q1q2=R1R2(i)or E1E2=kq1/R21kq2/R22=q1q2(R2R1)2(ii)now using equation (i) and(ii)E1E2=R1R2(R2R1)2=R2R1

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