the resistance of a certain wire is 10 ohms.What would the resistance of the same wire be if it were 2x as long?If it were 2x as thick?plz explain
2007-04-24 10:35:50 · 3 answers · asked by kobay 2 in Science & Mathematics ➔ Physics
If it is 2x as long, its resistance will be 20 Ohms since resistance is proportional to length. If its thickness (or diameter) is 2x, its resistance will be 1/4th of original, i.e. 5 ohms since resistance is inversely proportional to the area of the conductor. So, when diameter increases two times, area becomes 4 times and resistance becomes 1/4th.
2007-04-24 10:44:55 · answer #1 · answered by Swamy 7 · 0⤊ 0⤋
The resistance is proportional to length. Think of this like adding more wire in series.
The resistance is inversely proportional to area. Think of this like adding more wires in parallel.
So if you double the length, double the R. If you double the thickness, you quadruple the area (pi r^2 for a circle) so you quarter the resistance.
2007-04-24 17:46:35 · answer #2 · answered by Anonymous · 0⤊ 0⤋
ok you make the wire twice as long.... then double the thickness of the entire length....
10x2=20 .... 20x2=40
40 ohms
2007-04-24 17:45:14 · answer #3 · answered by Stevie 7 · 0⤊ 0⤋