Suppose the exact charge neutrality does not hold in a
world and the electron has a charge 1% less in magnitude
than the proton. Calculate the Coulomb force acting
between two blocks of iron each of mass 1 kg separated
by a distance of 1 m. Number of protons in an iron atom
= 26 and 58 kg of iron contains 6 x 10 % atoms.
Solution : Each atom of iron will have a net positive charge
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Answer:
F = 1.66∗10^21 N
Explanation:
Electric force between two charged object are:
F= kQ1Q2/r2
Where k = 1/4piEo
Now, we need to find out the charge of the iron samples:
Each bar has a mass of 1 kg.
So, the number of atoms in each bar is:
Na = m/n
=6∗10^26/58
=1.0344∗10^25atoms
Each atom has 26 protons:
Np = 26Na
= 2.69∗10^26 protons
The exceeding charge of the each rod is:
Q = 0.01Na∗qe
=4.304∗10^5C
Finally, the force between two rods:
F=kQ1Q2/r2
= 9∗10^9 x (4.304)^2 x 10^10/ 1^2
= 1.66∗10^21 N
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