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Speaker requirements are likely to be 8 ohm, most modern hi-fi speakers are. A few low-fi systems have used special high impedance speakers and the old hi-fi standard for valve amplifiers was 15 ohm and 3 ohm or lower has been used in televisions a lot.
4 ohm speakers are commonly used where a higher power output is desired at the cost of some quality of sound reproduction but depending on how the sound is listened to can soon overload some amplifiers primarily designed for 8 ohm as it will try and deliver more power into the lower impedance speakers and perhaps exceed the rating.
8 ohms is a safer choice. The lower the wattage rating of the speakers the more efficiently they tend to be able to reproduce sound at low volume levels so for background music in a small domestic environment the average power requirement will be in the order of half a watt so even with a high powered amplifier the volume would rarely be turned up above 1 - 2 on the typical scale of 10 and ten watt speakers would be more than adequate. It is unfortunate that it is almost impossible to obtain quality speakers rated at such an unfashionably low power rating.
With the stiffer cones of a higher power rated speakers the volume has to be turned higher before the speakers become efficient and listening at low levels can be difficult. In a domestic environment a 50 watt rating is perhaps the best compromise as if there are neighbours to consider a ten watt average power output will be sufficient even if the amplifier is capable of higher powers. Just don't turn the volume up more than necessary.
The greater the power rating the more power will be required for efficient reproduction. For electrical and mechanical safety of the speakers the rating should exceed the maximum output of the amplifier but listening at low levels with quality of sound can become virtually impossible.
Sorry, I have a similar problem and came here looking for a solution. I believe the problem is with the speaker or the speaker wire. When I move the "good" speaker to the other set of lugs, it continues to function OK. I wish I could get the speaker box open without major surgery, but, alas, they are not made for repair. Don't know if I will cut into the box. My temp solution is to turn the unit off/on. This gets both speakers working. Bit of a drag, but I am finding it real difficult to find a new system w a tape player.
This problem happend to my sony system about a year ago. It was the amp that blew in mine because of the fan inside the system was not coming on when it should of. I found that when i had put my PC in the AUX jacks it blew the fan on me, so every time the volume got to 15 the system would just shut down and not come back on at all, or it would need time to cool down before it would start up again. Take it to a shop and get it looked at by someone that knows what there doing. Please dont try and do this yourself.