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. 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?

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. 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?

Infinity Learn · Accepted Answer

Their potential will be same, i.e., $$V1=V2kq1R1kq2R2orq1q2=R1R2$$⇒$$E1E2=kq1/R12kq2/R22=q1q2R2R12=R1R2R2R12=R2R1$$

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