Electronic – How to match a power amplifier and a loudspeaker array

impedanceinput-impedancepowerpower amplifierspeakers

I am trying to use a power amplifier that is available to me to actuate an array of loudspeakers. The array has a total number of 30 loudspeakers (ways of connection can vary).

And I would like to know how I should connect the loudspeaker array to the amplifier to make sure there's enough power for the array and also not overload the array. Below are some parameters of the amplifier and the loudspeaker. Do you think serial connection in this case will be fine?

If possible, would you please show the chain of thought to reach the conclusion? So will help me when I want to change the no. of loudspeakers in the future.

Power amplifier:

  • Power output capacity: 75 VA into a 3 ohm resistive load
  • Input impedance: 15 kohm
  • Output impedance: 0.04 ohm: [10Hz-5kHz], 0.08 ohm: [5kHz-20kHz]
  • Max output current: 5A or 1.8A rms according to selected value
  • Max output voltage: 15 V RMS

Loudspeaker

  • Input power: 2W (rated), 3W (max)
  • impedance: 8 ohm

Array

The array will be composed of the loudspeaker above with a total number of 30.

Best Answer

Your speakers are rated at 2W and 8Ω, which means that they can take a maximum of \$\sqrt{P\cdot R} = \sqrt{2 \cdot 8} = 4\$ VRMS.

The amplifier produces up to 15 VRMS, so you need to connect the speakers in strings of 4 in series across the amplifier terminals in order to make sure that the speakers are not overdriven. You can put any number of such strings in parallel.

Each string consumes 15 V/32 Ω = 0.47 ARMS, so you can have up to 5 A/.47 A = 10 strings before you overload that particular amplifier.