Assume that you have 10^{23} carbon atoms. Al | vedclass

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Question

(A) Each carbon atom has $6$ electrons and $6$ protons. Total number of electrons (and protons) = $6 	imes 10^{23}$.The total charge $q$ at each pole

Vedclass · Accepted Answer

$5 	imes 10^5 \ N$

Vedclass · Answer

(A) Each carbon atom has $6$ electrons and $6$ protons. Total number of electrons (and protons) = $6 	imes 10^{23}$.The total charge $q$ at each pole is $q = (6 	imes 10^{23}) 	imes (1.6 	imes 10^{-19} \ C) = 9.6 	imes 10^4 \ C$.The distance between the North Pole and the South Pole is the diameter of the Earth,$d = 2R = 2 	imes 6400 \ km = 1.28 	imes 10^7 \ m$.Using Coulomb's Law: $F = \frac{k q_1 q_2}{d^2} = \frac{(9 	imes 10^9) 	imes (9.6 	imes 10^4)^2}{(1.28 	imes 10^7)^2}$.$F = \frac{9 	imes 10^9 	imes 92.16 	imes 10^8}{1.6384 	imes 10^{14}} = \frac{829.44 	imes 10^{17}}{1.6384 	imes 10^{14}} \approx 506 	imes 10^3 \ N = 5.06 	imes 10^5 \ N$.Thus,the force is approximately $5 	imes 10^5 \ N$.

Assume that you have $10^{23}$ carbon atoms. All the nuclei are placed at the North Pole of the Earth and all the electrons are placed at the South Pole of the Earth. (Radius of Earth = $6400 \ km$). The force between the charges is approximately:

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