Question

Using the following equations for force, work done, power, current and potential difference (or otherwise) give the following derived units in terms of base units. Show all of your working.

F=ma, W=Fd, P=ΔW/Δt', I=ΔQ/tΔ, V=W/Q

a. Joules

b. Watts

c. Volts

Answer 1

(a)

$$\rm J=N*m=kg*m/s^2*m=kg*m^2/s^2$$

(b)

$$\rm W= J/s=kg*m^2/s^3$$

(c)

$$\rm V=\frac{J}{C}=\frac{kg*m^2/s^2}{A*s}=\frac{kg*m^2}{A*s^3}$$