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Five to One (Posted on 2013-09-27) Difficulty: 3 of 5
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.

  Submitted by Brian Smith    
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Solution: (Hide)
This is easy for four resistors, just make two banks of 2 ohms and put them in parallel, bringing the total resistance back to 1 ohm.
 |  |   |
 |  R   R
 V  |   |
 |  R   R
 |  |   |

In the above configuration, the middle of each bank (between the resistors) are equipotent with respect to each other. This means there is no voltage difference and that any resistor placed there will carry no current and not affect the resistance of the circuit.

Placing the fifth resistor here will satisfy the requirements of the problem.
 |  |   |
 |  R   R
 |  |   |
 V  |-R-|
 |  |   |
 |  R   R
 |  |   |

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionMister resistorLarry2013-09-27 20:30:24
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