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12 February, 23:45

24-gauge copper wire has a diameter of 0.51 mm. The speaker is located exactly 4.27 m away from the amplifier. What is the minimum resistance of the connecting speaker wire at 20°C? Hint: How many wires are required to connect a speaker! Compare the resistance of the wire to the resistance of the speaker (Rsp = 8 capital omega)

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  1. 12 February, 23:53
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    R = 8.94 10⁻² Ω/m, R_sp / R_total = 44.8

    Explanation:

    The resistance of a metal cable is

    R = ρ L / A

    The area of a circle is

    A = π R²

    The resistivity of copper is

    ρ = 1.71 10⁻⁸ ohm / m

    Let's calculate

    R = 1.71 10⁻⁸ 4.27 / (π (0.51 10⁻³) ²)

    R = 8.94 10⁻² Ω/m

    Each bugle needs two wire, phase and ground

    The total wire resistance is

    R_total = 2 R

    R_total = 17.87 10⁻² Ω

    Let's look for the relationship between the resistance of the bugle and the wire

    R_sp / R_total = 8 / 17.87 10⁻²

    R_sp / R_total = 44.8
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