Posted by **Marie** on Tuesday, November 22, 2011 at 2:34pm.

If 750 m of 3.00-mm-diameter wire has a resistance of 27.6, what length of similar wire 5.00 mm in diameter will have the same resistance?

- Algebra II -
**Steve**, Tuesday, November 22, 2011 at 11:21pm
R = kL/d^2

Find k:

27.6 = k(750)/9

k = 0.3312

So, now we find the new L:

27.6 = .3312L/25

L = 2083.3 mm

Makes sense. The diameter has almost doubled, so the resistance is about 1/3 of what it was. (9/25 actually)

Note that 750 * 25/9 = 2083.3

## Answer this Question

## Related Questions

- Algebra II - If 750 m of 3.00-mm-diameter wire has a resistance of 27.6, what ...
- Math - If 750 m of 3.00-mm-diameter wire has a resistance of 27.6, what length ...
- Math - If 750 m of 3.00-mm-diameter wire has a resistance of 27.6, what length ...
- Alegra II - If 750 m of 3.00-mm-diameter wire has a resistance of 27.6, what ...
- Math - The resistance(r)of a wire varies directly as the length(L)of the wire ...
- Physics - Two wires with the same resistance have the same diameter but ...
- Algebra II - The resistance of a wire is inversely proportional to the square of...
- algebra - A three quarter inch wire has 12 ohms resistance. How much resistance ...
- physics - Consider two copper wires with the same cross-sectional area. Wire A ...
- Physics - A silver wire and a platinum wire of the same length have the same ...

More Related Questions