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Both are Inverse square law. It corresponds to the concept of lines of force spreading out uniformly from a source (mass or electric charge). If you imagine these line passing through a sphere surrounding the source at a distance R, The lines have to pass through its surface area of 4pi.R^2, so their density goes inversely as the square of the radius, (inverse square law) and hence the concept of lines of force.

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Q: How is Coulomb's Law similar to Newton's Law of gravitation?
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