It's not a trick, it's that's the most used and standard formula!
I´m not taking about the formula or theory, the point is the 1/x key on the calculator!
In your experience and known world is the most used (and surely your E/E experience is much bigger than mine), but there are EE people you don´t know out there (less than 1% at this point, maybe?) like me who for decades never touched the 1/x key on the calculator for parallel resistance calculation. I promise you I´m not alone. BTW I´m pissed with my well paid professors who didn´t told me:"Dears students just use the 1/x key to save time". Sometime the easiest way can be very clear and simple, but if you don´t know it and you know a way to do get what you need, good luck to understand you are losing time!
Then how would you determine the parallel sum of three or four resistors, like R1||R2||R3||R4?
Rp12=R1*R2/(R1+R2)
Rp123=Rp12*R3/(Rp12+R3)
Rp1234=Rp123*R4/(Rp123+R4)
Very long and stupid way once you know how to use the 1/x key. Is the result a wrong one? No, so that´s why I was keep going like this, of course for massive calculation Excel was my best friend.
Now, wait a minute. Probably once I tipped on mine TI-68
(Z1 [1/x] +Z2 [1/x] +Z3 [1/x] +Z4 [1/x] ) [1/x]
where Zn were complex impedance, please note that [1/x] means the 1/x key.
It could be I used even
^-1
wihch means 3 keys on the calculator, not sure about that. Probably no, I am more crazy than stupid.
1/R = 1/R1 + 1/R2 + 1/R3 + 1/R4 + ...
I think perhaps you are not serious and you are pulling everyone's leg?...
Of course I saw that equation and also used it! The whole point is it never clicked in my mind to use the damn
1/x key, and I thank
G0HZU for telling me that.
It also depend on the calculator you had. If you had one which after pressing [1/x] was displaying immediately the result then probably this discussion makes you LOL.
Mine by pressing the [1/x] was just putting the -1 at the exponent and sitting there, to get the result you had to press [ENTER].
Anyway good for you and bad for me. Case closed. I already lost enough time by no using the 1/x key. Please forgive me but in this discussion I have the feeling I am wasting my time by talking about how I wasted my time in the past. I am not irritated at all, I am just facing the crude reality LOL.
PS: I miss now my old trusty TI-68 soo much, we won a lot of battles togheter! It was declared dead two years ago, the display was just showing garbage all the time. May his soul rest in peace.
http://www.datamath.org/Sci/Modern/TI-68.htm.