The interaction of electric charges `q_1 and q_2` separated by a distance r is `F=1/(4piepsilon_0)(q_1q_2)/r^2`
If `p_1 and p_2` are the properties of two magnetic poles , separated by a distance r , the force is `F=(mu_0)/(4pi)(p_1p_2)/r^2`
a. Write two similar properties of these two forces.
b. Name the quantities `p_1,p_2 and mu_0` .
c. Show that 'p' has the ampere metre^2.

Explanation

a. i. Both are inverse square law forces
ii. Both are long range , can be attractive or repulsive.
b. `p_1 and p_2` are called pole strengths
`mu_0` - is the property of vacuum (or air) and is called permeability .
c. Force between conductors `F=(mu_0I^2l)/(2a)`
To find unit we take `[(mu_0I^2l)/(2a)]=[(mu_0)/(4pi)(p^2)/r^2]`
`([I^2][L])/([L])=([P^2])/([L^2])" ":.[P^2]=[I^2][L^2]`
`:.` P has unit, A m or Dimensions given , `[F]=[q^2/(4piepsilon_0r^2)]=[(mu_0p^2)/(4pir^2)]`
`([q^2])/([epsilon_0])=[mu_0].[P^2]" ":.[P^2]=([q^2])/([epsilon_0][mu_0])=([q^2])/([epsilon_0mu_0])=[q^2c^2]=[I^2T^2xxL^2T^(-2)]`
Since `1/(epsilon_0mu_0)=c^2" ":.[P]=[I.L]`