Consider two positive charges placed a distance r12 apart. 1) Describe this rela

Question

Consider two positive charges placed a distance r12 apart. 1) Describe this relation in words. 2) Who is credited with this relation? Divide both sides by Q2. 3) What new relation do you obtain? 4) Describe and provide all of the physical units for each relation. 5) If you were to place a free + charge a distance r13 from Q1, describe what will happen and provide a relation for the acceleration it will initially experience. You will need to assume some things...state these. 6) What alternate units could you provide for the relation in 3, that involve the electric potential?

Explanation / Answer

Above given equation is the mathematical expression of Coulomb's law or Coulomb's inverse-square law.

F=k (Q1 Q2/r2)rˆ

k= 1/40

In 1785, the French physicist Charles-Augustin de Coulomb published his first three reports of electricity and magnetism where he stated his law.

Now if we divide F by Q2 we get following equation,

F/Q2 = (1/40) Q1/r2

E = (1/40) Q1/r2

Electric Field: E=F/q (force per unit charge), An electric field is a vector field that associates to each point in space the Coulomb force experienced by a test charge. The electric at a given point is defined as the (vectorial) force that would be exerted on a stationary test particle of unit charge by electromagnetic forces.

Force is measured in newtons, charge in coulombs, and distance in metres. And for electric field SI units are newtons per coulomb (NC1) or, equivalently, volts per metre (Vm1), which in terms of SI base units are kgms3A1.

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