Electrostatics Question 433

Question: Two spheres A and B of radius a and b respectively are at same electric potential. The ratio of the surface charge densities of A and B is [MP PMT 2001]

Options:

A) ab

B) ba

C) a2b2

D) b2a2

Show Answer

Answer:

Correct Answer: B

Solution:

Given electric potential of spheres are same i.e. VA=VB

therefore 14πε0.Q1a= 14πε0.Q2b Q1Q2=ab ……(i)

as surface charge density σ=Q4πr2

therefore σ1σ2=Q1Q2×b2a2=ab×b2a2=ba



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