Headphone & Amp Impedance Questions? Find the answers here!
Oct 29, 2012 at 2:35 PM Post #106 of 524
Let me add that,
 
Headphone A is Sennheiser HD 595
Headphone B is Hifiman HE-400
 
According to Inner Fidelity,
 
Senn 595 requires (for 90 Db)
0.55 Volt RMS
0.05 mW
Impedance is 55 Ohm
 
Hifiman HE-400 (for 90 Db)
.129 Volt RMS
0.33 mW
Impedance is 51 Ohm
 
So, evidently, Hifiman wants 4 time less voltage, and almost 7 times the wattage of the Sennheisers to produce 90 decibels. I don't understand how the Sennheisers require barely a miliwatt to reach 90 decibels. They are rated 112 dB @ 1 Volt RMS. By that figure alone, I would assume 92 dB @0.1 Volt RMS.
 
I am trying to get myself straightened out.
 
Oct 29, 2012 at 2:42 PM Post #107 of 524
Quote:
Originally Posted by MrMateoHead /img/forum/go_quote.gif
 
Headphone output @32 Ohms is given as 1Vrms. Analog power supply current is given as 51 mA. So, my guess is that 1*51 = 51 mW of available power @ 32 Ohms. Output impedance is 1 Ohm. @ 64 Ohms, output should be something like 26 mWs (assuming no additional voltage is compensating for impedance change). At 50 Ohms, which is my actual rated headphone impedance, the estimate would be about 29 mWs. 

 
You can ignore the 51 mA power supply current. It is the maximum voltage of 1 Vrms at 32 Ω that matters, so the power is really 1 * 1 / 32 = 31.25 mW.
If you took the 1 Ω output impedance from the datasheet of the ALC888, rather than the specifications of your motherboard, or measured it yourself, then note that there is often additional serial resistance (a few tens of Ω) added to the headphone output on the motherboard.

 
Oct 29, 2012 at 2:45 PM Post #108 of 524
Quote:
Originally Posted by MrMateoHead /img/forum/go_quote.gif
 
According to Inner Fidelity,
 
Senn 595 requires (for 90 Db)
0.55 Volt RMS
0.05 mW
Impedance is 55 Ohm

 
It is really only 0.055 Vrms, you missed a '0'. That translates to about 115 dB/V, compared to the specification of 112.
 
Oct 29, 2012 at 2:52 PM Post #109 of 524
Using formulae provided by Inner fidelity and specs, this is what I come up with:
 
(*edit)
To reach 110 dB on the Senn 595s:
 
.055 * 10 (0.55 V)
0.55^2 / 55 = 5.5 mW for 110 dB
 
To reach 110 dB on the Hifiman HE-400:
 
.129 * 10 (1.29 V)
1.29^2 / 51 = 33 mW for 110 dB
 
The basic formula was found here:
http://www.innerfidelity.com/content/nwavguys-heaphone-amp-measurement-recommendations
 
Assuming all specs and math are correct, either headset should get ear-damaging loud without much wattage at all. My complaint is, I thought getting from 90 dB to 110 dB would require 20 times the voltage, since it is 20 dB, not 10 dB louder. Interestingly, the Hifiman's need about 6 times the wattage to reach the same volume level.
 
Oct 29, 2012 at 3:17 PM Post #113 of 524
Quote:
Even 90 dB is insane by the way.
smily_headphones1.gif


110 would be like a fricking concert, so I believe that! I am just spec-drunk at the moment, and irritated that I cannot figure out whether I'll have 6 times the wattage I need to get the Hifimans as loud as I would likely ever stand. As is, I can't usually stand turning volume much past 50% with my current setup.
 
I assume the Hifi's are going to suck up a lot of whatever headroom I currently have.
 
Oct 29, 2012 at 3:25 PM Post #115 of 524
I wouldn't go above 85 dB SPL. The HE-6 requires less than 7 mW (or 0.63 V) to reach that volume. Many headphones only need a tiny fraction of a single milliwatt to reach the same volume.
 
Oct 29, 2012 at 5:40 PM Post #116 of 524
Quote:
I wouldn't go above 85 dB SPL. The HE-6 requires less than 7 mW (or 0.63 V) to reach that volume. Many headphones only need a tiny fraction of a single milliwatt to reach the same volume.


Thanks Xnor. Can you speak to the calculations I made above however, or give any guidance on how to make use of the weird specs given for many headphones and amps? I wouldn't want to listen at 110 dB (or even 100 dB) for more than short bursts. I am usually in a quiet environment where 85 dB or less is probably more than adequete.
 
It baffles me to think that the HE-6 would require much of an amp to reach high volumes, yet the big hifiman amp for sale puts out something like 6 watts.
 
Oct 29, 2012 at 5:48 PM Post #117 of 524
If you use the Vrms needed to reach 90 dB SPL from innerfidelity just use
 
10^(relativedB / 20) and multiply it with the Vrms needed to reach 90 dB SPL.
 
So for 85 dB SPL you have to substract 5 dB SPL: 10^(-5 / 20) * 0.055 = 0.031 Vrms for the HD595 to reach 85 dB SPL.
 
You can reverse this: 20*log10(0.031 / 0.055) = -5 dB.
 
If you have sensitivity for milliwatts just use 10*log10(power / 0.001) instead, or the reverse: 10^(... / 10).
 
Oct 29, 2012 at 8:29 PM Post #118 of 524
Quote:
If you use the Vrms needed to reach 90 dB SPL from innerfidelity just use
 
10^(relativedB / 20) and multiply it with the Vrms needed to reach 90 dB SPL.
 
So for 85 dB SPL you have to substract 5 dB SPL: 10^(-5 / 20) * 0.055 = 0.031 Vrms for the HD595 to reach 85 dB SPL.
 
You can reverse this: 20*log10(0.031 / 0.055) = -5 dB.
 
If you have sensitivity for milliwatts just use 10*log10(power / 0.001) instead, or the reverse: 10^(... / 10).


Ok - the first formula makes sense and I can replicate your number. 85 dB is achieved at 0.031 Vrms for the senns, and 0.0725 for the hifimans.
 
Hypothetical, lets Change the Vrms to 1.
 
20*Log(10*(1 / 0.33)) = 30 dB. Therefore, 1 Vrms yields max SPL of 112 dB. (Hifiman)
20*Log(10*(1 / 0.055)) = 45 dB. Therefore, 1 Vrms yields max SPL of 135 dB (Sennheiser)
 
Though, both of those numbers are pretty close to radically high. Realistic? Or is it likely that driver limits would prevent such SPL? I am surprised that 1 V could yield that much volume considering amps like the Asgard are rated for up to 7 Vrms (but 1 Vrms at 10% THD).
 
Oct 29, 2012 at 8:49 PM Post #119 of 524
Power requirements are often misrepresented to sell more gadgets - you really don't need anywhere the "juice" most traderags cry about. As far as when the driver blows up - the isodynamic should outlast because it will like die due to Tmax not Xmax, while the Sennheiser you'll probably pop the cone or cook the motor off fairly quickly (max input power is probably like 200 mW). But there will be time relativity here - instantaneously they will survive more than continuously. But still - this is way beyond suitable listening levels.
 
Oct 29, 2012 at 8:52 PM Post #120 of 524
I couldn't follow what you're trying to calculate, but before we even get to that, people have been using log10( ) to be shorthand for logarithm with base 10.  Somehow a 10 ended up inside the argument of your logarithms.
 
Senn HD 595 (0.055 Vrms for 90 dB SPL):
20*log10(1 / 0.055) = 25.2 dB,
so 1 Vrms would give 90 dB + 25.2 dB = 115.2 dB SPL
 
HiFiMAN HE-400 (0.129 Vrms for 90 dB SPL):
20*log10(1 / 0.129) = 17.8 dB,
so 1 Vrms would give 90 dB + 17.8 dB = 107.8 dB SPL
 

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