Physics problem. Please Help!!?
There are N=2011 contact points on a circuit board. Each is connected to the others by a wire of resistance R. What is the resistance between any two points?
Hint: By definition the resistance between any two points is the ratio of an applied voltage V and the resulting current I. If we assign one of the two points a potential of zero and the other a potential of V, then what is the potential of the other N-2 points? Does current flow between points at the same potential? Other than the direct path between the two points, what are the other possible paths and their resistances? What current will these other paths contribute? What current will direct path contribute?
Thanks in advance!!!!
Comments
If there are 2011 contact points, there are 2010 resistances in a circuit.
The resistance between any 2 adjacent points is R/2010.
No idea what you mean by N-2 points.
The current is the same through all 2010 resistances, but the applied PD across the entire circuit will need to be 2010 x V. The circuit current will remain I throughout.
I really don't know what else to say! Peculiar question.