you can take a 9v batt and tap it to your speaker wire. Hold one wire to a terminal on the 9v and tap the other on and off the opposite terminal if the speaker pulls in wrong polarity if the speaker pushes out its correct. Then just make note of which one was on which terminal of 9v and your good to go
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Powered speakers have an amp between the audio source and the speakers. Non-powered speakers have the amp located in the audio source. Speakers are usually called powered if they are sold with an amplifier either attached to the speakers or physically near the speakers.
the speakers are 8kOhm or 8000Ohm
That depends on specifically which speakers you had in mind, but I use Logitech Surround Sound speakers with my PS3 and they work fine.
Speakers corner in London is on one of the corners of Hyde Park.
6.5 or 6 1/2 in front and 6 x 9 speakers in back.