## Resistance Units

What are the base SI units for electrical resistance?

Hint
Electrical resistance is a measure of the opposition to current flow. The unit for resistance is an Ohm (Ω).
$$Resistance=\frac{Voltage}{Current}$$$Electrical resistance is a measure of the opposition to current flow. Ohm's law states $$R=V/I.$$ The unit for resistance is an Ohm (Ω), which is one volt (V) per ampere (A). $$1\:\Omega =1\:\frac{V}{A}$$$
Voltage is the electrical potential difference between two points, which is defined as the work (watts) needed per unit of charge (ampere).
$$1\:V =1\:\frac{W}{A}$$$Power is the time rate of doing work. The unit for power is a watt (W), which is one joule per second. $$1\:W=1\:\frac{J}{s}$$$
Joule (J) is a unit of work, which is the product of a unit force (one newton) acting through a unit distance (one meter).
$$1\:J=1\:N\cdot m$$$A newton is a unit of force, which is described in the following SI base units: $$\frac{m\cdot kg}{s^{2}}$$$
Combining all units together:
$$\Omega =\frac{V}{A}=\frac{W}{A^2}=\frac{J}{s\cdot A^2}=\frac{N\cdot m}{s\cdot A^2}=\frac{kg\cdot m^2}{s^3\cdot A^2}$$$$$\frac{kg\cdot m^2}{s^3\cdot A^2}$$$