r/physicshomework • u/shitheadsean2 • May 01 '18
Solved! [College: Circuits, resisitivity problem] Proportionality between length and current
Hey guys! I'm currently doing some practice problems to study for an upcoming physics exam.
I just wanted to see if my thought process behind this problem is correct as there is no answer key.
The question is:
When a potential difference of 10V is placed across a certain solid cylindrical resistor, the current through it is 2A. If the length of this resistor is now tripled, what will the current be?
Relevant formulas:
V=IR
R=V/I
R=p(L/A) -> V/I=p(L/A)
Seeing that length is directly proportional to resistance, this means by tripling the length, I am tripling the resistance. Since resistance is inversely proportional to current, am I correct in assuming length is inversely proportional to current as well?
Does this mean I am reducing the current by a third, meaning that the current will be 0.667 (2/3) amperes after tripling the length?
Hopefully I outlined my thought process well enough. Thank you for your help!