Consider two conducting spheres of radii R1 and R2 with R1 > R2 . If the two are at the same potential, the larger sphere has more charge than the smaller sphere. State whether the charge density of the smaller sphere is more or less than that of the larger one.

NCERT Class XII
Physics - Exemplar Problems

Chapter 2. Potential and Capacitance

1

Answers

2015-06-10T23:26:24+05:30

This Is a Certified Answer

×
Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
Potential of conducting spheres on the surface can be:
                V = 1/(4πε) * Q / R

So if the two spheres are at the same potential, then the charge on the larger sphere is more than that on the smaller sphere.
               V1 = V2  =>  Q1 / R1  = Q2/ R2
   =>  ρ1 * 4 π R1³ / (3 R1)   = ρ2 * 4 π R2³ / (3 R2)
   =>    ρ1 / ρ2  =  R2² / R1²

     If R1 > R2,  then    ρ1  < ρ2

1 5 1
click on thanks button above please