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Coulomb's Law

Part of the Electricity and Magnetism section of Coddy's Physics journey. Lesson 2 of 51.

Two charges a distance r apart push or pull each other with a force:

F=k q1q2r2F = k\,\frac{q_1 q_2}{r^2}

k=9×109 N⋅m2/C2k = 9\times10^{9}\ \mathrm{N\cdot m^2/C^2}. Use the sizes of the charges: the signs only give the direction (like repel, opposite attract).

Two charges pushed apart by equal forces

Both charges feel forces of the same size, in opposite directions, along the line between them.

The distance is squared: twice as far apart, the force is four times smaller; twice the charge on one of them, twice the force.

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Challenge

Two small spheres with positive charges of 2 μC2\ \mathrm{\mu C} and 3 μC3\ \mathrm{\mu C} sit with their centres 0.3 m0.3\ \mathrm{m} apart. Their weight is far too small to count. Draw the force on the 3 μC3\ \mathrm{\mu C} sphere, then find how big the electric force FF between them is.

Try it yourself

Physics diagram: charge

Solve for FF

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