Electric field

[sticky1]

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How can an electric field be given in Volts/meter? Which formula gives the electric field in Volts/meter?

 

[Trayshawn]

I don't know if theres like a particular name for it or something but just think about it

volts = the potential energy per charge.

electric field = the force per charge


whats the relationship between potential energy and force? force x distance = potential energy
rewritten, force = potential energy/ distance
divide both sides by charge and you get E = V/m

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[Ace-Co-A]

Working off of the previous comments, the definition of the voltage is the potential energy difference corresponding to two points separated by some short distance "dR" through an electric field "E":

V = -int (EdR) on the interval [0,R]
V = -E*R
Given in units, this is [V] = V = N*C^(-1)*m where [E] =N/C.

Rewriting for the units of the electric field (N/C), we get [E] = [V]/m = V/m

I hope that clarifies.