Q). Two charged spheres of radii  R 1 and  R 2 having equal surface charge density. The ratio of their potential is
(1) R 1 / R 2
(2) R 2 / R 1
(3) R 1 / R 2 2
(4) R 2 / R 1 2

Dear student,

Both the spheres have the same surface charge densities.

Let us suppose that the sphere with radius R1 has a charge q1 on it, and that the sphere with radius R2 has a charge q2 on it.

Now,

q1/[4π(R1)²] = q2/[4π(R2)²]

=> q1/R1² = q2/R2² => q1/q2 = (R1/R2)²

Potential in first sphere = V1 = kq1/R1

Potential on second sphere = V2 = kq2/R2

Thus, V1/V2 = q1.R2/q2.R1 = (q1/q2).(R2/R1)=(R1/R2).

Option 1 is correct
Regards

 
 

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