Question #120968
Two bodies of equal charges each of 1C are separated in air by a distance of 1km. find the magnitude of the electric force between them.
1
Expert's answer
2020-06-08T10:15:12-0400

According to the Coulomb's law (https://en.wikipedia.org/wiki/Coulomb%27s_law) the force can be calculated as

F=kq1q2εr2,F = k\dfrac{q_1q_2}{\varepsilon r^2}, where q1q_1 and q2q_2 are the charges, rr is the distance between charges, k9109Nm2C2k \approx 9\cdot10^9\,\mathrm{N\,m^2\,C^{-2}} and ε\varepsilon is the permittivity, for air ε=1.0005941.\varepsilon = 1.000594 \approx 1.

Therefore,

F=9109Nm2C21C1C(1000m)2=9103N.F = 9\cdot10^9\,\mathrm{N\,m^2\,C^{-2}}\cdot\dfrac{1\,\mathrm{C}\cdot1\,\mathrm{C}}{(1000\,\mathrm{m})^2} = 9\cdot10^3\,\mathrm{N}.


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