The problem quickly becomes very complex if the usual parallel and series resistor equations are used. It can be done, but there are easier methods. It is quite simple if symmetry is invoked. Suppose a current of 3 A flows through the supply leads. Since the cube has a 3-fold symmetry about rotations through the […]
Resistor Cube Solution Read More »
This is an old problem; one that I encountered when I was in high school. Nonetheless it can be a challenge if never seen before. Suppose that a group of 12 1.0 ohm resistors make up the edges of a cube. They are connected at the corners of the cube, and on opposite diagonal corners
The steps necessary to solve the problem depend on the results of each use of the scales. Thus the solution quickly becomes very complicated if mapped out with numbers. Therefore, I present an more abstract solution first and then add the numbers later. There are four points to solving the problem: Let us consider families
Solution to the Scales and Counterfeit Coin Problem Read More »
This problem was given to me many years ago by my friends Heather and Ross. You have a bag of 117 coins of which 1 is a counterfeit. This counterfeit is identical to the other coins except that it is slightlyheaver or lighter than the real coins. You do not know which. You are given
The Scales and the Counterfeit Coin Read More »
Comments that are pertinent to the post topics are welcome. Comments will be moderated and any comment that includes profanities, hate speech, offensive language or even material that is inappropriate or not pertinent (ie something like advertising for printer ink on a post about science) will cause the submitter to be blocked from this site.
