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A capacitor close to the stereo system acts as a stored source of energy, which will fill in only very short term high load peaks, which drop the voltage at peak volume levels, as a result of line resistance and or inadequate supply capacity. There is no way of estimating your requirements, other than by cut and trial. You can take it that the the more capacity i.e. measured in farads the better.
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Trevor, New Zealand.
As a child, on cold mornings I gladly stood in cowpats to warm my bare feet, but I detest bull$hit! 
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