How to find the dimension formula for inductance and also the dimension for resistance ?
Dimensions of L,
Dimensions of R,
Firstly consider resistance.
It's defining equation is, Ohm's law,
But electric field has units (force)/(charge).
Also, charge has dimensions of (current)(time) and force has dimensions (mass)(length)/(time)^2.
Thus, dimensions of
Thus, dimensions of resistance,
For inductance, the defining equation is,
Magnetic field from Lorentz force law has units, (Force)(velocity)^(-1)(charge)^(-1)
Therefore, dimensions of magnetic field,
Therefore dimensions of magnetic flux,
Thus finally, dimensions of inductance,