1. ## Inequality Problem

The elements of an electric circuit dissipate $p$ watts of power. The power $p_R$ dissipated by a resistor in the circuit is given by $p_R=Ri^2$, where $R$ is the resistance (in Ohms) and $i$ is the current (in A). Graph the possible values of $p$ and $i$ for $p>p_R$ and $R=.5$ Ohms

2. $p>p_R$
$
p_R = Ri^2$

$
p>Ri^2$

Can you graph it now?

3. So $p_R = Ri^2\quad \Rightarrow y=.5x^2$

And $p>p_R\quad \Rightarrow y=.5x$

Are those right?

4. What you are trying to do is to graph p against i and find the region that satisfies the properties $p>p_R$ and $p_R = .5i^2$

$p>p_R$ and $p_R = Ri^2$ => $p>Ri^2$