# How to find the dimension formula for inductance and also the dimension for resistance ?

##### 1 Answer

Dimensions of L,

Dimensions of R,

#### Explanation:

Firstly consider resistance.

It's defining equation is, Ohm's law,

Now

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

Current

Thus, dimensions of resistance,

For inductance, the defining equation is,

But

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,