My concern was, that a higher voltaged dac could make the sound louder.
An increase in the input signal should increase the output signal.
Adjust the volume knob as necessary.
What happens when I increase the DAC voltage to 4V? Will the sound get louder?
Also does it increase the output voltage of the amplifier?
Yes, and yes.
Maybe.
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Simple answer:
An amplifier multiplies the voltage it receives.
Music is a varying voltage. The output voltage of the amplifier traces the same waveshape as the input, but covering a different voltage range,.
The volume knob increases or decreases the range of the signal voltage sent to the amplification stage.
If the amp has 10dB gain, then one volt in will create 3.162 volts out (maximum). - the multiplier is 3.162
Change the input level to two volts, and you'll get 6.324 volts out (maximum) - the multiplier is still 3.162
If the amplifier has a different gain ratio, the multiplier will be different.
15dB gain = a voltage multiplier of 5.623
http://www.sengpielaudio.com/calculator-gainloss.htm
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