When adding two speakers in parallel, how is the total impedance calculated?

When adding two speakers in parallel, the total impedance is calculated using the formula ( \frac{1}{R_{total}} = \frac{1}{R_1} + \frac{1}{R_2} ). This formula is derived from the principles of electrical circuits, specifically for resistors (or impedances) that are arranged in parallel.

In a parallel configuration, the voltage across each speaker (or resistor) is the same, which means that the total current flowing into the circuit is the sum of the currents through each speaker. According to Ohm's Law, ( I = \frac{V}{R} ), the current through each speaker is inversely proportional to its resistance. Consequently, when resistors are in parallel, the total current is equal to the sum of the individual currents, leading to the reciprocal relationship expressed in the formula.

This method of calculation is essential when working with audio systems, as it allows for determining the overall impedance that an amplifier will see when multiple speakers are connected. If the total impedance is lower than the amplifier's rated impedance, it could lead to damage or improper functioning of the amplifier.

The provided context for the other choices reflects different situations or simply incorrect applications of the formula relevant