Is current/resistance a parabola? (For lack of a better word)
here is a graphical inverse relationship when Voltage is constant (10V) and \$R=\frac{V}{I}\$

However sometimes current is constant then means V is proportional to R using same formula above or rearranged V=IR or in the EU,   U=IR

Here is a another way to show same data



Here are 3 circuits with resistance and reactance with R,L,C &amp; f chose to give the same impedance , current and power but at different phases.  

The series 100R current and power for each circuit is shown in same order as schematic. Which one dissipates the most real most total?

http://tinyurl.com/jm6nuel


The scope only shows power in the 1st resistor.