The total number of electrons in the human body is typically in the order of 10^28. Suppose, due to some reason, you and your friend lost 1% of this number of electrons. Calculate the electrostatic force between you and your friend separated at a distance of 1m. Compare this with your weight. Assume mass of each person is 60 kg and use point charge approximation.
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number of electrons in human body = 10^28
charge appeared on my friend and I , C = 1% of charge on 10^28 electrons
= 1/100 × 10^28 × 1.6 × 10^-19 C
= 1.6 × 10^7 C
force between us , Fe = kq²/r²
= 9 × 10^9 × (1.6 × 10^7)²/(1)² [as r = 1m]
= 9 × 2.56 × 10^9 × 10¹⁴
= 23.04 × 10²³ N
= 2.304 × 10²⁴ N
mass on each of us, m = 60kg
so, gravitational force between us, Fg = Gm²/r²
= 6.67 × 10^-11 × 60 × 60/1²
= 6.67 × 36 × 10^-9
= 240.12 × 10^-9
= 2.4012 × 10^-7 N
≈ 2.4 × 10^-7 N
Fe/Fg = 2.304 × 10²⁴/2.4 × 10^-7
= 0.96 × 10³¹ ≈ 10³¹
hence, electrostatic force is approximately 10³¹ times stronger than gravitational force.
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