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Coulomb's Law - Mathematical Form

Find the eele...

Question

Find the eelectric force btween two protons separated bya distance of 1 fermi $(1 f e r m i = 10 - 15)$ the protons in a nucleus remain at a separation of this order.

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Solution

Charge on each proton $= 1.6 \times 10^{- 19}$ coulomb
Distance between the charges $= 10^{- 15} m$
$F_{e} = \frac{1}{4 π ϵ_{0}} \frac{q^{2}}{r^{2}} = 9 \times 10^{9} \times \frac{(1.6 \times 10^{- 19})^{2}}{(10^{- 15})^{2}} = 230 N$

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