What is the dimension of resistance?

Answer 1

Dimension of resistance can be worked out by using Ohm's law

You know V = IR or R = V/I....(1)

The dimensional formalism of equation (1) can be written as follows

[R] = [V]/[I] = [W/q]/[I] { since potential refers to work done(W) per unit charge }

So [R] = [w]/[qI] = [W]/[I2T] { [I] = [q]/[T] where T stands for time }

thus [R] = [ML2T-2]/[A2T] { dimension of current is taken as [A] }

= [M1L2T1A-2] (ans)