Answers to brain stretchers

(If you haven't already figured out the answers, you're cheating! I'll probably have to fix your amp one of these days!)

Five 8-ohm speakers would have a total impedance of 8/5 or 1.6 ohms.

Six 8-ohm speakers would have a total impedance of 8/6 or 1.333 ohms.

Seven 8-ohm speakers would have a total impedance of 8/7 or 1.14 ohms.

Eight 8-ohm speakers would have a total impedance of 8/8 or 1.0 ohms.

I'll leave it up to you to figure out what happens with 4 ohm speakers.

Equivalents for a combination of a 4, 8, and 16 ohm speaker should use the 16
ohm speaker as the reference.

One 8 ohm speaker would be the equivalent of two 16 ohm speakers.

Since one 4 ohm speaker is the equivalent of two 8 ohm speakers, it is also
equivalent to FOUR 16 ohm speakers.

So, 4 ohm and 8 ohm and 16 ohm equivalents are:

4(16s) and 2(16s) and 1(16) = 7(16s) in parallel, or 16/7 ohms = 2.286 ohms
(same as we got the first time!)

A "Minimum 2 ohms" load could be:

Two 4 ohm speakers (4/2)

Four 8 ohm speakers (8/4)

One 4 ohm and two 8 ohm speakers - 2(8s) and 2(8s) =4(8s) =8/4 =2 ohms

and many other combinations