So would a resistor with a 3R on the common cathode do the same job as a single res. of value R on each of the 3 color leads?
No. Once again, when two LED's are turned on they will have less brightness than a single one on by itself (and with 3R, they will all be less bright to begin with). With a single R in each lead the brightness will be the same regardless of how many are on. In theory...it depends on the rest of your circuit and what it's current-sourcing/sinking capacity is.
And wouldn't any configuration lead to a dimming when more than one color lights up?
No. Look at the circuit for our
Gadget Shield (second page, on the right side):
http://ruggedcircuits.com/AS010/as010.pdfThis circuit keeps the same brightness in all LED's regardless of how many are on.
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The
Rugged Motor Driver: two H-bridges, more power than an L298, fully protected