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# Physics - SI Unit Conversion

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I need to convert the SI unit 0.40 V m^-1 (Volts per metre) to N C^-1 (Newtons per Couloumb).

https://brainmass.com/physics/units/physics-si-unit-conversion-185440

## SOLUTION This solution is FREE courtesy of BrainMass!

The conversion factor is, in fact, 1 V m^-1 = 1 N C^-1, and therefore, 0.40 V m^-1 = 0.40 N C^-1.

I provide below some information on how the conversion factor of 1 V m^-1 = 1 N C^-1 comes about ...

The voltage V delivered by a battery is the amount of work done by the battery when one coulomb of charge flows from the negative terminal to the positive terminal. Thus, voltage is a measure of electrical potential energy. A one-volt battery will do one joule of work (that is, deliver one joule of energy) if one coulomb of charge flows from the negative terminal to the positive terminal. Thus, volt = joule/coulomb, or 1V = 1 J/C.

Now, 1 V = 1 Nm/C [Since 1 J = 1 N m]

Thus, 1 V/m = 1 N/C.

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