A 1 volt battery and five 1 ohm resistors are to be hooked up in a circuit to have 1 ampere of current. How can this be arranged? You must use all five resistors in the circuit.
Well, one way would be to short circuit 4 of the resistors and just have one resistor that is not short circuited, but I don't think that is what is in mind.
Note that 2 resistors in parallel have half the resistance of a resistor by itself.
In parallel, resistors add like this: 1/(1/R1 + 1/R2).
In series: R1 + R2.
If we had just 4 resistors, put 1 and 2 in series as Group 1.
Then put 3 and 4 in series as Group 2.
Finally put Group 1 in parallel with Group 2.
So I thought of a "Wheatstone Bridge  like" arrangement:
____r1____r2___
/  \
/  \
A  r5  B
\  /
\  /
\__r3______r4___/
The 5th resistor, R5 should have no current across it

Posted by Larry
on 20130927 20:30:24 