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@Mathieulh, I copied my discussion with Nanaholic over the DMP-Z1 thread below:
“@Nanaholic, I appreciate your raising the issue of application of the formula, I guess our differences lie with the concept of constant. Generally speaking, If one just look at a formula with three variables, it is true that if two of the three variables are known then the value of the third variable can be known. It is also true that by varying any two variables you can change the value of the third variable. And that is what you did with the application of the formula above by plunging in two of the three variables thereby changing the value of the Vrms and what you did is accurate in general terms except the following:
Let me prefaced it by saying I am not a fan boy of AK and I do not have any inside connections with AK to know what those published value means other than what is being published on their website. I actually own two WM1Z, one WM1A and the Z1R to give you some perspective and I do not feel any urge to defend AK at all. My only interest is to understand and get good sound.
Having said that, when I read “12 Vrms, Condition No Load” to me it simply means that is the value of the device, Khan, AK 380 or whatever the device happens to be by circuitry design without any load. So to me of the three variables:
A. Vrms of the device by circuitry design
B. Resistance in Ohm
C. Output power in Wattage
One can vary variable B by changing headphones with different impedance value, one can also change Valuable C for any amount a person wants or desires by varying valuable A and B. What we cannot change is the circuitry by design inside the Khan, AK380, SP1000 etc. that produce the Vrms under no load condition hence I hold variable A (Vrms) constant. Without assuming variable A is constant you are correct by varying B and C variable A (Vrms) has to be different. I will be happy to agree with you if my assumption that the stated Vrms is not derived by hardware design. But if the Vrms value is produced by hardware design then one must hold it constant and my application of the formula is accurate. I can only assume that the volt root mean square (Vrms) is a value produced by the amplifier circuitry otherwise what else could have generate the power in a dap if not for the hardware and that is why you cannot reverse the formula to come up with different Vrms because we cannot alter the hardware inside the circuitry.
Those websites that you cited for power calculations is accurate but they do not know or take the assumption that one of the Variable cannot be varied.”
“@Nanaholic, I appreciate your raising the issue of application of the formula, I guess our differences lie with the concept of constant. Generally speaking, If one just look at a formula with three variables, it is true that if two of the three variables are known then the value of the third variable can be known. It is also true that by varying any two variables you can change the value of the third variable. And that is what you did with the application of the formula above by plunging in two of the three variables thereby changing the value of the Vrms and what you did is accurate in general terms except the following:
Let me prefaced it by saying I am not a fan boy of AK and I do not have any inside connections with AK to know what those published value means other than what is being published on their website. I actually own two WM1Z, one WM1A and the Z1R to give you some perspective and I do not feel any urge to defend AK at all. My only interest is to understand and get good sound.
Having said that, when I read “12 Vrms, Condition No Load” to me it simply means that is the value of the device, Khan, AK 380 or whatever the device happens to be by circuitry design without any load. So to me of the three variables:
A. Vrms of the device by circuitry design
B. Resistance in Ohm
C. Output power in Wattage
One can vary variable B by changing headphones with different impedance value, one can also change Valuable C for any amount a person wants or desires by varying valuable A and B. What we cannot change is the circuitry by design inside the Khan, AK380, SP1000 etc. that produce the Vrms under no load condition hence I hold variable A (Vrms) constant. Without assuming variable A is constant you are correct by varying B and C variable A (Vrms) has to be different. I will be happy to agree with you if my assumption that the stated Vrms is not derived by hardware design. But if the Vrms value is produced by hardware design then one must hold it constant and my application of the formula is accurate. I can only assume that the volt root mean square (Vrms) is a value produced by the amplifier circuitry otherwise what else could have generate the power in a dap if not for the hardware and that is why you cannot reverse the formula to come up with different Vrms because we cannot alter the hardware inside the circuitry.
Those websites that you cited for power calculations is accurate but they do not know or take the assumption that one of the Variable cannot be varied.”