Ask Question
19 September, 19:09

A 24-gauge copper wire has a diameter of 0.51 mm and is used to connect a speaker to an amplifier. The speaker is located 7 m away from the amplifier.

Part A) What is the minimum resistance of the connecting speaker wires at 20˚C?

Part B) Compare the resistance of the wire to the resistance of the speaker (RSP = 8 Ω).

+1
Answers (1)
  1. 19 September, 19:15
    0
    a) R_c = 1.18 ohms

    b the resistance of copper wire is 14.7 % of resistance of speakers.

    Explanation:

    Given:

    - 24-Gauge copper wire resistivity p = 1.72*10^-8

    - The Length of the single wire L = 7 m

    - The diameter of single copper wire d = 0.51 mm

    Find:

    A) What is the minimum resistance of the connecting speaker wires at 20˚C?

    Part B) Compare the resistance of the wire to the resistance of the speaker (RSP = 8 Ω).

    Solution:

    - We are given details of as single copper wire. However, it takes two copper wire to connect a speaker to the amplifier. After establishing that fact we can use the relation between the dimensions of the wire and the resistance as follows:

    R = p*L / A

    Where,

    R is the resistance of the wire in ohms

    A is the cross sectional area of the wire

    - Now for two wires the resistance would be twice:

    R_c = 2*p*L / A

    - plug in the values:

    R_c = (2*1.72*10^-8 * 7) / (pi * (0.00051) ^2 / 4)

    - Evaluate:

    R_c = 1.18 ohms

    - The wire resistance calculated can be compared with that of speaker by taking a ratio of the two:

    R_c / R_s

    1.18 / 8 * 100 = 14.7 %

    - Hence, the resistance of copper wire is 14.7 % of resistance of speakers.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “A 24-gauge copper wire has a diameter of 0.51 mm and is used to connect a speaker to an amplifier. The speaker is located 7 m away from the ...” in 📗 Physics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers