What Are the Correct Units of Coulomb's Constant?

[ZedCar]

Coulomb's constant, which appears in Coulomb's Law, contains ε0.

The units of ε0 being F/m

Are the units of Coulomb's constant therefore F/m ?

Thank you.

 

[PeterO]

Coulomb's constant, which appears in Coulomb's Law, contains ε0.

The units of ε0 being F/m

Are the units of Coulomb's constant therefore F/m ?

Thank you.

I would have thought F^-1m since k_e = 1/(4∏ε_o)

 

[ehild]

Coulomb's constant, which appears in Coulomb's Law, contains ε0.

The units of ε0 being F/m

Are the units of Coulomb's constant therefore F/m ?

Thank you.

Yes, but farad can be derived from the basic units of the SI system, so the unit of ε0 is A²s⁴kg^-1m^-3 in terms of the basic SI units.

ehild

 

[ehild]

I would have thought F^-1m since k_e = 1/(4∏ε_o)

For parallel plate capacitors, C=εA/d (A is the surface of the plates, d is the distance between them) so farad=[ε]m.

ehild