State and explain Coulomb’s law of electrostatics. Express it in vector form.
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Coulomb's law state us that electrostatic force b/w any two charges q and q' seperated by distance r is directly proportional to the product of the magnitude of the charges and inversely proportional to the square of the distance b/w them.
F=q*q’/4πE* r²
In vector form there will multiplication of r^.
The vector form of Coulomb’s law is
F⃗ 12=Q1Q24πϵR212a^12=Q1Q24πϵr⃗ 2−r⃗ 1|r⃗ 2−r⃗ 1|3
The middle expression is the best for understanding the physics of Coulomb’s law. It shows there is a 1/R2 dependence on force with distance R. and shows the positive direction for force is along the line connecting charge 1 to charge 2. The last expression is what I prefer when doing calculations.
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