Al - Yes indeed. These are all just rewrite. Since power is proportional to the square of the voltage:
(0.5 x 0.5) = 0.25
Now, calculating power difference:
10 log (0.25) = -6 dB
Calculating voltage difference:
20 log (0.5) = -6 dB
In either case, the SPL at a reference distance, measured in dB, changes in proportion to the power OR voltage when either is expressed as dB assuming there is no compression in the driver.
Said another way, for a single driver:
Delta V dB = Delta W dB = Delta SPL dB
That's what's so cool about dBs!
Best,
E
(0.5 x 0.5) = 0.25
Now, calculating power difference:
10 log (0.25) = -6 dB
Calculating voltage difference:
20 log (0.5) = -6 dB
In either case, the SPL at a reference distance, measured in dB, changes in proportion to the power OR voltage when either is expressed as dB assuming there is no compression in the driver.
Said another way, for a single driver:
Delta V dB = Delta W dB = Delta SPL dB
That's what's so cool about dBs!
Best,
E