Need help in electric field problem

AI Thread Summary
The total number of electrons in 25.0 g of carbon is calculated to be approximately 2.51 x 10^24. The force of attraction between the electrons at the North Pole and protons at the South Pole is determined to be about 2.65 x 10^13 N. For a third charge located at the equator, the force exerted by the charges is approximately 5.32 x 10^11 N. These calculations utilize fundamental constants such as the permittivity of free space and the charge of an electron. The discussion effectively demonstrates the application of electrostatic principles in a theoretical scenario.
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Part A
Suppose all the electrons in a quantity of carbon atoms with a mass of 25.0 g were located at the North Pole of the Earth and all the protons at the South Pole. What would be the total force of attraction exerted on each group of charges by the other? The atomic number of carbon is 6, and the atomic mass of carbon is 12.0 g/mol.

Use 8.85×10−12 C^2/N*m^2 for the permittivity of free space, 1.60×10−19 C for the magnitude of the charge on an electron, 6.02×1023 mol^-1 for Avagadro's number, and 6.38×106 m for radius of the earth.

Part B
What would be the magnitude of the force exerted by the charges in part (a) on a third charge that is equal to the charge at the South Pole, and located at a point on the surface of the Earth at the equator?
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Part AThe total number of electrons in 25.0 g of carbon is given by: N_e= (25.0 g * (6.02*10^23 mol^-1))/(12.0 g/mol) = 2.51*10^24 electrons The total force of attraction on each group of charges is given by: F_attraction = (2.51*10^24 * 1.60*10^-19 C^2)/(8.85*10^-12 C^2/N*m^2 * (6.38*10^6 m)^2) = 2.65*10^13 N Part BThe magnitude of the force exerted by the charges on a third charge located at the equator is given by: F_equator = (2.51*10^24 * 1.60*10^-19 C^2)/(8.85*10^-12 C^2/N*m^2 * (4.00*10^7 m)^2) = 5.32*10^11 N
 
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