Junction Potential: Nichrome Wires of Different Lengths & Areas

In summary, the problem involves two nichrome wires of different lengths and cross-sectional areas, with one end of each attached to each other. The free end of the longer wire has an electric potential of 8.0 V, while the free end of the shorter wire has an electric potential of 1.0 V. The question is asking for the potential at the junction of the two wires, which can be calculated by considering the potential drop across one component as a fraction of the total potential drop and using the absolute potentials at the ends.
  • #1
jdstokes
523
1

Homework Statement



One end of a nichrome wire of length 2L and cross-sectional area A is attached to an end of another nichrome wire of length L and cross-sectional area 2A. If the free end of the longer wire is at an electric potential of 8.0 V, and the free end of the shorter wire is at an electric potential of 1.0 V, the potential at the junction of the two wires is equal to

The Attempt at a Solution



I have conceptual problems with this question. In an ordinary piece of `circuit wire' it is impossible to maintain a nonzero potential difference between each end. Does this mean that a wire with variable width behaves as a kind of resistor? Would the potential difference not be everywhere the same because of equipoential on a conductor?
 
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  • #2
I was missing the point, the idea is to compute the potential drop across one component, as a fraction of the total potential drop. Knowing the absolute potentials at the ends allows the junction potential to be calculated.
 

Related to Junction Potential: Nichrome Wires of Different Lengths & Areas

What is junction potential in the context of Nichrome wires of different lengths and areas?

Junction potential refers to the voltage difference that occurs at the junction or connection between two dissimilar metals or materials. In the case of Nichrome wires of different lengths and areas, this refers to the voltage difference that may be present at the junction where the two wires meet.

Why is junction potential important to consider in this experiment?

Junction potential can affect the accuracy and reliability of the experiment's results. If there is a significant voltage difference at the junction, it can impact the measurements of the wires' resistances. Therefore, it is important to take into account and minimize the effects of junction potential in this experiment.

How can junction potential be minimized in this experiment?

Junction potential can be minimized by ensuring that the connections between the Nichrome wires are clean and tight. It is also recommended to use a reference electrode or voltmeter to measure the potential difference at the junction and subtract it from the overall voltage measurements.

Does the length or area of the Nichrome wires affect junction potential?

The length and area of the Nichrome wires can affect junction potential. Longer wires and larger cross-sectional areas may result in higher junction potentials due to the increased contact area between the wires. It is important to take this into consideration when setting up the experiment and adjusting the measurements accordingly.

Can junction potential be completely eliminated?

It is not possible to completely eliminate junction potential, but it can be minimized. The use of clean and tight connections, as well as measuring and subtracting the potential difference at the junction, can greatly reduce its effects. However, there will always be some level of junction potential present in any experiment involving dissimilar materials.

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