# Define electric power with its s.i. unit and find its expression in term resistance (R) and potential difference (V).

Electric power (p) = $$\frac{work done (w)}{time (t)}$$
$$\implies$$ P = vq/t
$$\because i = \frac{q}{t}$$
$$\implies$$ P = vi
From ohm's law $$v = i*r$$
$$\implies i = \frac{v}{r}$$ using the above value of I in equation $$p = v*i$$ we get
$$\implies p = \frac{v^2}{r}$$