How many electrons must be added to an isolated spherical conductor of radius 20cm to produce an electric field 1000N/C just outside the surface?(a) 2.77*10^20(b) 2.77*10^10(c) 1.77*10^10(d) 5.4*10^10I have been asked this question at a job interview.I'd like to ask this question from Continuous Charge Distribution topic in portion Charges and Fields of Physics – Class 12

How many electrons must be added to an isolated spherical conductor of

1.	How many electrons must be added to an isolated spherical conductor of radius 20cm to produce an electric field 1000N/C just outside the surface?(a) 2.7710^20(b) 2.7710^10(c) 1.7710^10(d) 5.410^10I have been asked this question at a job interview.I'd like to ask this question from Continuous Charge Distribution topic in portion Charges and Fields of Physics – Class 12
Answer» Correct choice is (b) 2.7710^10 The explanation is: The electric field E = k \(\frac {Q}{R^2}\) where k=910^9 N m^2 C^-2 and Q is the charge of the sphere, r is the radius of the sphere. Therefore Q = \(\frac {Er^2}{k}=\frac {10000.2^2}{910^9}\) = 4.4410^-9. NUMBER of electrons REQUIRED for this amount of charge is = \(\frac {4.4410^{-9}}{1.60210^{-19}}\) = 2.77*10^10.

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