Help understanding voltage db vs power db.

On Friday, April 17, 2020 at 9:41:42 AM UTC-4, amdx wrote:
On 4/17/2020 8:15 AM, blocher@columbus.rr.com wrote:
On Friday, April 17, 2020 at 9:10:13 AM UTC-4, amdx wrote:
On 4/17/2020 7:49 AM, Pimpom wrote:
On 4/17/2020 5:32 PM, amdx wrote:
   The fact that I know: a 6db voltage gain is a 3db power gain.
If that is wrong set me straight.


That's where you got it wrong. The same ratio - e.g. 3:1 - expressed in
dB for voltage is twice that for the same power ratio. This convention
arises from the assumption that the two voltages are applied to the same
resistance/impedance, which is not always the case and can create
confusion.

Mathematically, for voltage the dB value is 20log(V1/V2) whereas for
power it's 10log(P1/P2)

Take an amplifier with a gain of 5x and an input voltage of 1V. By
convention, the voltage gain is 20log(5/1) = 14dB.

If the input resistance of the amplifier and the output load resistance
are both 100 ohms, the input power is 1²/100 = 0.01W; output power is
5²/100 = 0.25W. The power ratio is 10log(0.25/0.01) = 14dB.

Same amplifier, same gain.
Voltage gain = 5 or 14dB
Power gain = 25 or 14dB

If the input and output resistances are *not* the same, the gain in dB
will NOT be the same for voltage and power.


I am assuming the same impedance for all calculations.
RE: Voltage gain = 5 or 14dB
Is the voltage gain of 5 expressed as a 14db power gain?

Meaning, when you calculate gain using a voltage ratio, is the answer
in units as power gain?

That would solve my confusion.

Thanks, Mikek

We are trying to teach you to fish and I think you want us to toss you a fish


I do know the 10log and 20log formula, but a simple yes/no to the
20log(V2/V2) Is, the answer expressed in power.

At this point, I think it is, otherwise, why the 20log.

Sorry to be dense, but if I didn't need help, I wouldn't be asking.

Mikek

Yes, 20*log(V1/V2), if you must.
GH
 
On Friday, April 17, 2020 at 1:08:03 PM UTC-4, George Herold wrote:
On Friday, April 17, 2020 at 8:36:47 AM UTC-4, pcdh...@gmail.com wrote:
The fact that I know: a 6db voltage gain is a 3db power gain.
If that is wrong set me straight.

As the wise man said, "It ain't what you don't know that hurts you--it's what you do know that ain't so."

Decibels are a convenient means for expressing *power ratios*. Keep that in mind and your troubles will disappear. (These ones, anyway.) ;)

dB = 10 log(P1/P2),

where P1 and P2 are in units of power.
Just as an aside, I find the factor of ten (10) to be 'an issue'*
in my brain. I'd much rather have a straight LOG(P1/P2).

Yeah, but then you'd be talking about 0.301 dB and 0.602 dB and we'd still have people confused about doubling power vs. doubling voltage. What's really different except we are working with 10 times smaller numbers?

When they teach Bells, they should ignore the deci part to get the idea across, then say, "For convenience we commonly use dB in the same way we use dl or cm".

Actually, I don't know of any common usage of the deci prefix other than dB and dl. Even dl is only used in medicine where it is commonly mixed with units like ug/dl for some bizarre reason. The medical community is nuts when it comes to units. But they are great at saving our asses!

--

Rick C.

-- Get 1,000 miles of free Supercharging
-- Tesla referral code - https://ts.la/richard11209
 
On 2020-04-17 19:32, Ricky C wrote:
On Friday, April 17, 2020 at 1:08:03 PM UTC-4, George Herold wrote:
On Friday, April 17, 2020 at 8:36:47 AM UTC-4, pcdh...@gmail.com
wrote:
The fact that I know: a 6db voltage gain is a 3db power gain.
If that is wrong set me straight.

As the wise man said, "It ain't what you don't know that hurts
you--it's what you do know that ain't so."

Decibels are a convenient means for expressing *power ratios*.
Keep that in mind and your troubles will disappear. (These ones,
anyway.) ;)

dB = 10 log(P1/P2),

where P1 and P2 are in units of power.
Just as an aside, I find the factor of ten (10) to be 'an issue'*
in my brain. I'd much rather have a straight LOG(P1/P2).


Yeah, but then you'd be talking about 0.301 dB and 0.602 dB and we'd
still have people confused about doubling power vs. doubling voltage.
What's really different except we are working with 10 times smaller
numbers?

When they teach Bells, they should ignore the deci part to get the
idea across, then say, "For convenience we commonly use dB in the
same way we use dl or cm".

Actually, I don't know of any common usage of the deci prefix other
than dB and dl. Even dl is only used in medicine where it is
commonly mixed with units like ug/dl for some bizarre reason. The
medical community is nuts when it comes to units. But they are great
at saving our asses!

There seems to be a propensity of many branches of science and
technology to choose their units such that the most common
values end up in the interval 1..100. Never mind that a weird
unit is harder to grasp than a very big or very small value.

Cosmologists are real artists in that respect. For example,
Hubble's constant is really just the inverse of the age of the
universe, but who'd notice?

Jeroen --stamp out convenience units-- Belleman
 
On Friday, April 17, 2020 at 2:01:46 PM UTC-4, Pimpom wrote:
On 4/17/2020 11:02 PM, Ricky C wrote:

Actually, I don't know of any common usage of the deci prefix other than dB and dl. Even dl is only used in medicine where it is commonly mixed with units like ug/dl for some bizarre reason. The medical community is nuts when it comes to units. But they are great at saving our asses!


And they mess up the calorie unit, speaking of 1000 calories by
names like 'food calorie', 'large calorie' or 'kilogram calorie'
which are often shortened to just 'calorie'.

Yeah, but who uses the (small) calorie? I've never run into a use of it.

I like the definition of calorie...

cal¡o¡rie
/ˈkal(ə)rē/
noun
noun: small calorie; plural noun: small calories; noun: large calorie; plural noun: large calories; noun: Cal

1. the energy needed to raise the temperature of 1 gram of water through 1 °C (now usually defined as 4.1868 joules).
2. the energy needed to raise the temperature of 1 kilogram of water through 1 °C, equal to one thousand small calories and often used to measure the energy value of foods.

Two completely different definitions casually placed side by side as if there is no contradiction at all.

It's a bastard unit and all use of either version should be outlawed on penalty of eating Twinkies.

The amazing thing is every day I eat enough energy to raise the temperature of a kg of water by 2000 degrees C! What do I do with all that energy???

--

Rick C.

-+ Get 1,000 miles of free Supercharging
-+ Tesla referral code - https://ts.la/richard11209
 
On 4/17/2020 11:02 PM, Ricky C wrote:
Actually, I don't know of any common usage of the deci prefix other than dB and dl. Even dl is only used in medicine where it is commonly mixed with units like ug/dl for some bizarre reason. The medical community is nuts when it comes to units. But they are great at saving our asses!

And they mess up the calorie unit, speaking of 1000 calories by
names like 'food calorie', 'large calorie' or 'kilogram calorie'
which are often shortened to just 'calorie'.

I like to tease my doctor friends with something like "Look, we
have to deal with hundreds of different products all the time
while you doctors have been dealing with a model that's remained
unchanged for thousands of years. Yet you still know only a
fraction of what there is to know about it."

One doctor came back with "You can turn machines off." To which I
replied "Yeah, and you have anesthetics".
 
On 4/17/2020 11:43 PM, Ricky C wrote:
On Friday, April 17, 2020 at 2:01:46 PM UTC-4, Pimpom wrote:
On 4/17/2020 11:02 PM, Ricky C wrote:

Actually, I don't know of any common usage of the deci prefix other than dB and dl. Even dl is only used in medicine where it is commonly mixed with units like ug/dl for some bizarre reason. The medical community is nuts when it comes to units. But they are great at saving our asses!


And they mess up the calorie unit, speaking of 1000 calories by
names like 'food calorie', 'large calorie' or 'kilogram calorie'
which are often shortened to just 'calorie'.

Yeah, but who uses the (small) calorie? I've never run into a use of it.

I do, for one, albeit rarely. We still used cgs units when I was
in college.

......<snip>.......
The amazing thing is every day I eat enough energy to raise the temperature of a kg of water by 2000 degrees C! What do I do with all that energy???

I was idly chatting with two doctors on my porch last year when
the talk turned to the discomfort of sitting in a
non-airconditioned car in the summer. I did a quick mental
calculation and pronounced that, based on the energy value of the
food we eat, two adult humans sitting in a car generate enough
heat to boil one liter of water every half-hour. They were astounded.
 
On 2020-04-17 15:04, Pimpom wrote:
On 4/17/2020 11:43 PM, Ricky C wrote:
On Friday, April 17, 2020 at 2:01:46 PM UTC-4, Pimpom wrote:
On 4/17/2020 11:02 PM, Ricky C wrote:

Actually, I don't know of any common usage of the deci prefix other
than dB and dl.  Even dl is only used in medicine where it is
commonly mixed with units like ug/dl for some bizarre reason.  The
medical community is nuts when it comes to units.  But they are
great at saving our asses!


And they mess up the calorie unit, speaking of 1000 calories by
names like 'food calorie', 'large calorie' or 'kilogram calorie'
which are often shortened to just 'calorie'.

Yeah, but who uses the (small) calorie?  I've never run into a use of it.


I do, for one, albeit rarely. We still used cgs units when I was in
college.

I do electromagnetic calculations in Gaussian units (rationalized cgs
ESU). It gets rid of all the mu-noughts and epsilon-noughts, which
saves blunders. Converting to SI at the end is trivial.

Cheers

Phil Hobbs

--
Dr Philip C D Hobbs
Principal Consultant
ElectroOptical Innovations LLC / Hobbs ElectroOptics
Optics, Electro-optics, Photonics, Analog Electronics
Briarcliff Manor NY 10510

http://electrooptical.net
http://hobbs-eo.com
 
On Friday, April 17, 2020 at 2:16:53 PM UTC-4, Jeroen Belleman wrote:
On 2020-04-17 19:32, Ricky C wrote:
On Friday, April 17, 2020 at 1:08:03 PM UTC-4, George Herold wrote:
On Friday, April 17, 2020 at 8:36:47 AM UTC-4, pcdh...@gmail.com
wrote:
The fact that I know: a 6db voltage gain is a 3db power gain.
If that is wrong set me straight.

As the wise man said, "It ain't what you don't know that hurts
you--it's what you do know that ain't so."

Decibels are a convenient means for expressing *power ratios*.
Keep that in mind and your troubles will disappear. (These ones,
anyway.) ;)

dB = 10 log(P1/P2),

where P1 and P2 are in units of power.
Just as an aside, I find the factor of ten (10) to be 'an issue'*
in my brain. I'd much rather have a straight LOG(P1/P2).


Yeah, but then you'd be talking about 0.301 dB and 0.602 dB and we'd
still have people confused about doubling power vs. doubling voltage.
What's really different except we are working with 10 times smaller
numbers?

When they teach Bells, they should ignore the deci part to get the
idea across, then say, "For convenience we commonly use dB in the
same way we use dl or cm".

Actually, I don't know of any common usage of the deci prefix other
than dB and dl. Even dl is only used in medicine where it is
commonly mixed with units like ug/dl for some bizarre reason. The
medical community is nuts when it comes to units. But they are great
at saving our asses!


There seems to be a propensity of many branches of science and
technology to choose their units such that the most common
values end up in the interval 1..100. Never mind that a weird
unit is harder to grasp than a very big or very small value.

Cosmologists are real artists in that respect. For example,
Hubble's constant is really just the inverse of the age of the
universe, but who'd notice?

Jeroen --stamp out convenience units-- Belleman

Yeah, (Well fixing everyone's temperature scale to
absolute zero.. is more 'important' than some power ratio.
if that was the 1-100 reference?.)

Exponentially speaking, I think my brain starts to
shut down around 10^10...
10^20 is almost meaningless.
(yeah no real good feel for a mole of atoms.)

George H.
 
On Sat, 18 Apr 2020 00:34:25 +0530, Pimpom wrote:

I was idly chatting with two doctors on my porch last year when the talk
turned to the discomfort of sitting in a non-airconditioned car in the
summer. I did a quick mental calculation and pronounced that, based on
the energy value of the food we eat, two adult humans sitting in a car
generate enough heat to boil one liter of water every half-hour. They
were astounded.

By how much would that half-hour be reduced if the occupants were each
given a chicken phall to eat before the experiment commenced? :-D
 
blo...@columbus.rr.com wrote:

--------------------------
dB is a way to relate one POWER (always power) to another POWER. Frequently it will relate one measured power to another reference power.

A reference power will be something like 0dBm. That is an absolute reference power of 1 mW. Now you can say that a signal is 10dB lower than another power. In the case of 10dB lower than 0dBm you get 10dBm - 10 dB = -10 dBm.

You have to remember that dB's relate one power to another and it only works if you know which one is the reference power.

Now regarding voltage and power.......

remember dBs are all about power...power ......power......

** Most folk connect dBs with sound - ie " dB SPL".

The reference here is a defined ( tiny) change in air pressure, so clearly not power.

But the situation is analogous to using a defined voltage as a reference and letting the actual power take care of itself.

BTW The quantity "Sound Power Level" exists too and takes account the energy in the entire sound field. While not related to the SPL at a point, for a long time the same acronym was used for both causing great confusion.

An air conditioner might carry a "65dB SPL" rating which had nothing to do with the emitted sound level or any noise standard.


..... Phil
 
On 18/4/20 2:44 am, Adrian Tuddenham wrote:
blocher@columbus.rr.com> wrote:

On Friday, April 17, 2020 at 8:02:18 AM UTC-4, amdx wrote: > The fact that
I know: a 6db voltage gain is a 3db power gain.
dB is a way to relate one POWER (always power) to another POWER.
Frequently it will relate one measured power to another reference
power.

This is what you need to have burned into your brain. Anything else is
going to confuse you and lead to the wrong answer eventually.

Decibels are all about POWER, there are no voltage decibels.

Sorry, but decibels are not about any unit. Not power, not voltage.
They're only about ratios. They're just a log representation of a ratio,
which is a *pure unit-less number*.

RF designers assume they're about power. Audio folk assume they are
A-weighted subjective measures of loudness. Etc.... but those are all
the assumptions of a specific community, and they're just convenient lies.

Because dB are not *about* any of those units.

Clifford Heath
 
On 18/4/20 3:07 am, George Herold wrote:
On Friday, April 17, 2020 at 8:36:47 AM UTC-4, pcdh...@gmail.com wrote:
The fact that I know: a 6db voltage gain is a 3db power gain.
If that is wrong set me straight.

As the wise man said, "It ain't what you don't know that hurts you--it's what you do know that ain't so."

Decibels are a convenient means for expressing *power ratios*. Keep that in mind and your troubles will disappear. (These ones, anyway.) ;)

dB = 10 log(P1/P2),

where P1 and P2 are in units of power.
Just as an aside, I find the factor of ten (10) to be 'an issue'*
in my brain. I'd much rather have a straight LOG(P1/P2).

LOG(x), without qualification, means the *natural* log, not to base 10.

I assume you wouldn't rather be using those?

Clifford Heath
 
In article <buwmG.430$yf3.275@fx25.iad>,
Clifford Heath <no.spam@please.net> wrote:

LOG(x), without qualification, means the *natural* log, not to base 10.

I assume you wouldn't rather be using those?

The usage I remember from my early days was that "log(x)" usually
meant to the base 10, and "ln(x)" was used to represent the natural
logarithm to the base e.

From a quick Google-search I find that this does seem to be a common
convention.

Writing log10(x) and ln(x) makes it explicit and avoids us being
confoosed.
 
On 4/18/2020 11:56 AM, Dave Platt wrote:
In article <buwmG.430$yf3.275@fx25.iad>,
Clifford Heath <no.spam@please.net> wrote:

LOG(x), without qualification, means the *natural* log, not to base 10.

I assume you wouldn't rather be using those?

The usage I remember from my early days was that "log(x)" usually
meant to the base 10, and "ln(x)" was used to represent the natural
logarithm to the base e.

That's been my experience too. In the days before computers and
scientific calculators, log tables at the back of technical books
were often presented without specifying the base and were assumed
to be to the base 10.

From a quick Google-search I find that this does seem to be a common
convention.

Writing log10(x) and ln(x) makes it explicit and avoids us being
confoosed.

No argument there.
 
On Fri, 17 Apr 2020 23:26:19 -0700, dplatt@coop.radagast.org (Dave
Platt) wrote:

In article <buwmG.430$yf3.275@fx25.iad>,
Clifford Heath <no.spam@please.net> wrote:

LOG(x), without qualification, means the *natural* log, not to base 10.

I assume you wouldn't rather be using those?

Why not, there is also a ln(x) based ratio known as Neper
https://en.wikipedia.org/wiki/Neper
It was used e.g. in telephony.

The usage I remember from my early days was that "log(x)" usually
meant to the base 10, and "ln(x)" was used to represent the natural
logarithm to the base e.

lg(x) is often used for base 10 logarithm. Unfortunately, lg(x) is
also sometimes used for base 2 logarithm.

From a quick Google-search I find that this does seem to be a common
convention.

Writing log10(x) and ln(x) makes it explicit and avoids us being
confoosed.
 
On Saturday, April 18, 2020 at 3:08:07 AM UTC-4, Dave Platt wrote:
In article <buwmG.430$yf3.275@fx25.iad>,
Clifford Heath <no.spam@please.net> wrote:

LOG(x), without qualification, means the *natural* log, not to base 10.

I assume you wouldn't rather be using those?

The usage I remember from my early days was that "log(x)" usually
meant to the base 10, and "ln(x)" was used to represent the natural
logarithm to the base e.

From a quick Google-search I find that this does seem to be a common
convention.

Writing log10(x) and ln(x) makes it explicit and avoids us being
confoosed.

Yup, ln(x) is 100% natural log. You could call it the un-common log!

--

Rick C.

+- Get 1,000 miles of free Supercharging
+- Tesla referral code - https://ts.la/richard11209
 
On 17/04/2020 1:02 pm, amdx wrote:
 The fact that I know: a 6db voltage gain is a 3db power gain.
If that is wrong set me straight.

I'm confused after using this calculator.
 http://www.sengpielaudio.com/calculatorVoltagePower.htm

The first calculator labeled,
“ Find decibel voltage gain and ratio out/in by entering input and
output voltage:”
 If I put 1 volt on the input line and 2 volts on the output line, the
calculator gives a  6db gain.

The second calculator labeled,
“Find decibel power gain and ratio out/in by entering before and after
power“
In order to enter power in Watts, I'll assume a 50 ohm system and
calculate power using
V^2/R=P. As above 1volt^2/50 =0.02 Watts for input power and 2^2/50=0.08
Watts for output power.
When I enter 0.02 and 0.08 into the second calculator, I get 6db power
gain.

Back to the fact that I know, a 6db voltage gain is a 3db power gain.

So, what am I doing wrong that I don't get 3db for the power?

                                            Thanks for your time, Mikek

You don't get 3dB power gain because the power went from 0.02 to 0.08 in
your example and that was a four-fold increase. Hence 6dB.

You doubled (added 3dB to) the voltage but because P=V^2R that
quadrupled (added 6dB to) the power.

piglet
 
Clifford Heath is an Idiot wrote:

-----------------------------------

Decibels are all about POWER, there are no voltage decibels.

Sorry, but decibels are not about any unit. Not power, not voltage.
They're only about ratios. They're just a log representation of a ratio,
which is a *pure unit-less number*.

** 100% WRONG.

The only quantities that can be legitimately expressed in dB are actual power or directly relate to power.

A car can have 3dB more power than another but not 3dB more speed.



RF designers assume they're about power. Audio folk assume they are
A-weighted subjective measures of loudness. Etc.... but those are all
the assumptions of a specific community, and they're just convenient lies.

** The only convenient LIAR here is YOU.

Bugger off.
 
On 18/04/2020 8:56 am, upsidedown@downunder.com wrote:
On Fri, 17 Apr 2020 23:26:19 -0700, dplatt@coop.radagast.org (Dave
Platt) wrote:

In article <buwmG.430$yf3.275@fx25.iad>,
Clifford Heath <no.spam@please.net> wrote:

LOG(x), without qualification, means the *natural* log, not to base 10.

I assume you wouldn't rather be using those?

Why not, there is also a ln(x) based ratio known as Neper
https://en.wikipedia.org/wiki/Neper
It was used e.g. in telephony.


The usage I remember from my early days was that "log(x)" usually
meant to the base 10, and "ln(x)" was used to represent the natural
logarithm to the base e.

lg(x) is often used for base 10 logarithm. Unfortunately, lg(x) is
also sometimes used for base 2 logarithm.


From a quick Google-search I find that this does seem to be a common
convention.

Writing log10(x) and ln(x) makes it explicit and avoids us being
confoosed.
Yes, I used Nepers in a presentation about RF range and attentuation but
only succeeded in losing most of the audience that had never heard of them.

piglet
 
Jasen Betts wrote:

--------------------
Decibels are all about POWER, there are no voltage decibels.

Sorry, but decibels are not about any unit. Not power, not voltage.
They're only about ratios. They're just a log representation of a ratio,
which is a *pure unit-less number*.

** 100% WRONG.

The only quantities that can be legitimately expressed in dB are actual power or directly relate to power.

A car can have 3dB more power than another but not 3dB more speed.

kinetic energy is 0.5mv^2

3db more Speed is about 1.41 times faster.

** So you missed the word "legitimate" ?

Maybe because you are not.



...... Phil
 

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