Over the last few days I've been trying to determine whether my proposed 50W receiver (Marantz NR1603 or similar) would be powerful enough to drive the Pioneer SP-FS52 tower speakers I'm hoping to get. The majority of the answers seemed to have been yes, maybe, and no ... so I'm still trying to figure things out and I decided to turn to my good friend math to solve the problem.

However, since I'm not an acoustic expert I wanted to get feedback on this to make sure I'm not making some stupid assumptions or mistakes.

So here goes the math:

The speakers have a 87db sensitivity at 2.83V and are 6ohms. That means that they produce 87db at 1m when being driven with 1.33W (2.83V @ 6ohms = 0.47amps | 2.83V * 0.47amps = 1.33W). Doing some wonderful logarithmic math we see that going from 1.33W to 50W increases our sound output by 15.75db to 102.75db. However, that's at 1 meter away. I will be sitting 8 feet away or 2.43 meters. Again doing some math we figure out that this increase in distance will drop our db by 7.7db to 95db. Now assuming the exact same sound is being played by both left and right speakers we add 3db to the total volume bringing us to 98db.

So in the end I know that if I put 50W of power into these speakers I will get 98db from them at my sitting distance. Does all this make sense?

Now to figure out if 98db is loud enough without a db meter

Thanks,

Harry

However, since I'm not an acoustic expert I wanted to get feedback on this to make sure I'm not making some stupid assumptions or mistakes.

So here goes the math:

The speakers have a 87db sensitivity at 2.83V and are 6ohms. That means that they produce 87db at 1m when being driven with 1.33W (2.83V @ 6ohms = 0.47amps | 2.83V * 0.47amps = 1.33W). Doing some wonderful logarithmic math we see that going from 1.33W to 50W increases our sound output by 15.75db to 102.75db. However, that's at 1 meter away. I will be sitting 8 feet away or 2.43 meters. Again doing some math we figure out that this increase in distance will drop our db by 7.7db to 95db. Now assuming the exact same sound is being played by both left and right speakers we add 3db to the total volume bringing us to 98db.

So in the end I know that if I put 50W of power into these speakers I will get 98db from them at my sitting distance. Does all this make sense?

Now to figure out if 98db is loud enough without a db meter

Thanks,

Harry