Extra Que for Interest: Voltage and Wire Resistance

[jen333]

Hi! I was looking at notes about voltage and resistance, and this question popped into my head.

Homework Statement

If a certain length of wire ie)40m with an unknown resistance has a voltage of say 24V (random number) when hooked up to a battery, how does the voltage change throughout the circuit, or does it? ie) when a voltmeter is hooked up to a 10m segment of the wire anywhere on the wire, would the voltage increase or decrease?

Homework Equations

P=IV
R=pL/A

The Attempt at a Solution

I'm not sure, but if i were to guess I would think of the wire as any other resistor and assuming resistance is constant throughout predict the same voltage? I'm probably completely off, but it's worth a shot.

Thanks!

 

[LowlyPion]

By your second equation you have said you've traveled a 10m distance ... so what would the R be at that point?

Since it is something anyway, and if you are traveling from the positive terminal of the battery, then if there is a ΔR, there must be a ΔV.

Increase from the positive terminal? Does that really make sense? Of course the ΔV is going to be a drop.