The electrostatic force between two charges Q1 and Q2 at a distance r apart is given by F=(Q1*Q2)/(4Pie*Eo*r^2). What is the unit of E?

Princess Sophie E:

The electrostatic force between two charges Q1 and Q2 at a distance r apart is given by F=(Q1*Q2)/(4Pie*Eo*r^2). What is the unit of E?

If charge is in Coulombs (C), distance is in metres (m) and force is in Newtons (N) then Eo, the permitivity of free space is in C ²/(N.m ²)

Princess Sophie E:

The electrostatic force between two charges Q1 and Q2 at a distance r apart is given by F=(Q1*Q2)/(4Pie*Eo*r^2). What is the unit of E?

Hey Princess Sophie!!!


From your formula we can deduce that:

ε ₀ = (Q ₁ Q ₂) / (4π F r ²)

Since 4π does not have a unit, the unit of ε ₀ must be:

(C C) / (N m ²)

If you want to convert it to SI units, you need that C=A s and N=kg m s ^-2.
Then it comes out as:

(A s A s) / (kg m s ^-2 m ²) = (A ² s ⁴) / (kg m ³)


Cheers!

Thanks alot Alan and I Like Serena!! I really appreciate your help!! Thanks!!