Effect Ohms Have on db and Speaker Sensitivity


My speakers are rated at 97db into 6 Ohms.

Is there a mathematical equation to determine the sensitivity at 8 Ohms?

Thank you,

Labpro
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Showing 2 responses by almarg

There are a many possible causes of the symptoms you have described that are more likely to be responsible for the issue than the fact that the speakers have a 6 ohm nominal impedance instead of an 8 ohm nominal impedance. One such factor being how the impedance of the particular speaker varies from its nominal value over the frequency range. Another possible factor being the output impedance of the particular amp and how it interacts with the variation of speaker impedance over the frequency range.  Another possible factor being an impedance incompatibility between the preamp and the amp.

More power may not be the answer either.

What I suggest is that you indicate the specific make and model of the speakers, the amp, and the preamp or other component that is driving the amp. Some idea of the kind of music you listen to, how loud you listen, room size, and listening distance may also be helpful. Hopefully that information will enable us to provide suggestions that focus on your specific situation.

Regards,
-- Al
As Kosst alluded to the question is somewhat unclear. But **if** you are asking what the difference in SPL would be on a per watt basis between an 8 ohm speaker rated at 97 db/2.83 volts/1 meter and a 6 ohm speaker rated at 97 db/2.83 volts/1 meter, and assuming those specs are accurate (which is often a bad assumption, as Erik indicated), the calculation would be as follows:

Power into a resistive load = Voltage squared/Resistance

Therefore:

2.83 volts into 8 ohms = (2.83 x 2.83)/8 = 1 watt

2.83 volts into 6 ohms = (2.83 x 2.83)/6 = 1.335 watts

The ratio of two amounts of power, expressed in db, is:

db = 10 x log(P1/P2), where "log" is the base 10 logarithm.

10 x log(1.335/1) = 1.25 db.

So if both speakers are provided with the same number of watts the 6 ohm speaker would produce an SPL that is 1.25 db lower than the SPL produced by the 8 ohm speaker, if both have sensitivities of 97 db/2.83 volts/1 meter.

Regards,
-- Al