Relationships Between Force, Field, Energy, Potential Video Lessons

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Problem: Show conversion of units. C/Vm and C^2/Nm2 and F/m. Show how one another converts to another. Units of permittivity.

FREE Expert Solution

The given units refer to one quantity - The permittivity of free space, ε0.

The units are encountered in various equations such as:

V = (1/(4πε0))•(Q/r) - Units of ε0 = C/(V•m)

F = kq1q2/r2 = (1/(4πε0))•(q1q2/r2) - units of  ε0 = C2/(N•m2)

In capacitance, C = ε0A/d Units of ε0 = F/m

We'll show that these units can be converted from one to another.

We'll use the definitions of the units and their relationships.

We have the unit of charge, C.

We have the unit of the length, m

We have the unit of capacitance, Farad, F.

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Problem Details

Show conversion of units. C/Vm and C^2/Nm2 and F/m. Show how one another converts to another. Units of permittivity.

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