Question

A copper wire 750 feet long has a resistance of 1.893 ohms. How long

is a copper wire of the same diameter whose resistance is 3.156 ohms?
Express the answer to the nearest tenth.
boca rogiat

Answer 1

The length of the second copper wire is 1250.4 feet.

Explanation:

The length of the first wire,
`l_(1)` = 750 feet.

Resistance of the first wire,
`R_(1)` = 1.893 Ω

The length of the second wire =
`l_(2)`

Resistance of the second wire,
`R_(2)` = 3.156 Ω

The length of the second wire can be determined by the relation;

`(l_(1) )/(l_(2) )` =
`(R_(1) )/(R_(2) )`

`(750)/(l_(2) )` =
`(1.893)/(3.156)`

`l_(2)` =
`(750*3.156)/(1.893)`

=
`(2367)/(1.893)`

`l_(2)` = 1250.3962

= 1250.4

The length of the second copper wire is 1250.4 feet.