What is the total resistance of four 8 ohm horns wired in parallel?

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When calculating the total resistance of resistors connected in parallel, the formula used is based on the reciprocal of the sum of the reciprocals of each individual resistor's resistance. For four resistors of equal resistance (in this case, four 8-ohm horns), the formula simplifies to:

1 / R_total = (1 / R1) + (1 / R2) + (1 / R3) + (1 / R4)

Since all resistors have the same value:

1 / R_total = (1 / 8) + (1 / 8) + (1 / 8) + (1 / 8)

1 / R_total = 4 / 8

1 / R_total = 1 / 2

From this, we can derive R_total:

R_total = 2 ohms.

Therefore, the total resistance of four 8-ohm horns wired in parallel is 2 ohms. This value represents the reduced resistance that occurs when multiple paths for current flow are provided, effectively allowing more current to flow than would be allowed through a single 8-ohm resistor.

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