A wire that has a resistance of 1Ω is to be built from an aluminum block of volume 1 cm3 . How long is the wire going to be?

Question

A wire that has a resistance of 1Ω is to be built from an aluminum block of volume 1 cm3
. How long is the wire going to be?

in progress 0
Hưng Khoa 3 years 2021-08-30T16:08:32+00:00 1 Answers 6 views 0

Answers ( )

  1. Tryphena
    0
    2021-08-30T16:10:25+00:00
    Reply

    Answer:

      L = 5,955 m

    Explanation:

    For this exercise we must use the relation

            R = ρ L / A

    where R is the resistance that indicates that it is 1 Ω, the resistivity is taken from the tables ρ = 2.82 10⁻⁸ Ω m, L is the length of the wire and A is the cross section.

    As it indicates to us in volume of aluminum to use we divide the two terms by the length

        R / L = ρ L / (A L)

    the volume of a body is its area times its length, therefore

      R / L = ρ L / V

      R = ρ L² / V

    we clear the length of the wire

       L = √ R V /ρ

    we reduce the volume to SI units

       v = 1 cm³ (1m / 10² cm)³ = 1 10⁻⁶ m

    let’s calculate

       L = √ (1  1  10⁻⁶ / 2.82 10⁻⁸)

       L = √ (0.3546 10²)

       L = 5,955 m

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )