• Light Fitting Rating

    From Generalie@Generalie@nospam.com to uk.d-i-y on Sun Aug 9 16:23:44 2026
    From Newsgroup: uk.d-i-y

    Hi All

    I'm looking at getting some replacement light fittings and note that
    they have a stated limit of 60 watts.

    Does this only apply when the old incandescent type bulbs are to be used?
    The LED bulbs display the equivalent old wattage e. g. 75w, but also
    show the required power at 9.5w.
    I expect that when the cooler operation LEDs are fitted, the 60 or 75w
    value is no longer relevant.

    Thanks

    Phil
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  • From GB@NOTsomeone@microsoft.invalid to uk.d-i-y on Sun Aug 9 16:32:10 2026
    From Newsgroup: uk.d-i-y

    On 09/08/2026 16:23, Generalie wrote:
    Hi All

    I'm looking at getting some replacement light fittings and note that
    they have a stated limit of 60 watts.

    Does this only apply when the old incandescent type bulbs are to be used?
    The LED bulbs display the equivalent old wattage e. g. 75w, but also
    show the required power at 9.5w.
    I expect that when the cooler operation LEDs are fitted, the 60 or 75w
    value is no longer relevant.

    Thanks

    Phil


    I can't work out from your post whether it's the new fittings or the old fittings that are limited to 60 or 75 watts. However, the new LED bulbs
    will use less, so that's okay then.

    Quite a lot of new LED fittings come with bulbs already fitted. These
    usually can't be replaced.
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  • From GB@NOTsomeone@microsoft.invalid to uk.d-i-y on Sun Aug 9 16:33:03 2026
    From Newsgroup: uk.d-i-y

    On 09/08/2026 16:23, Generalie wrote:
    Hi All

    I'm looking at getting some replacement light fittings and note that
    they have a stated limit of 60 watts.

    Does this only apply when the old incandescent type bulbs are to be used?
    The LED bulbs display the equivalent old wattage e. g. 75w, but also
    show the required power at 9.5w.
    I expect that when the cooler operation LEDs are fitted, the 60 or 75w
    value is no longer relevant.

    Thanks

    Phil


    Maybe the simpler answer was just "yes"?


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  • From richard@richard@cogsci.ed.ac.uk (Richard Tobin) to uk.d-i-y on Sun Aug 9 15:36:40 2026
    From Newsgroup: uk.d-i-y

    In article <115a621$2e3s3$1@dont-email.me>,
    Generalie <Generalie@nospam.com> wrote:

    I'm looking at getting some replacement light fittings and note that
    they have a stated limit of 60 watts.

    Does this only apply when the old incandescent type bulbs are to be used?

    The limit is because of the heat generated, which is the actual
    wattage, not the "equivalent". No household LED bulb will approach
    the limit.

    -- Richard
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  • From Theo@theom+news@chiark.greenend.org.uk to uk.d-i-y on Sun Aug 9 16:46:32 2026
    From Newsgroup: uk.d-i-y

    Richard Tobin <richard@cogsci.ed.ac.uk> wrote:
    In article <115a621$2e3s3$1@dont-email.me>,
    Generalie <Generalie@nospam.com> wrote:

    I'm looking at getting some replacement light fittings and note that
    they have a stated limit of 60 watts.

    Does this only apply when the old incandescent type bulbs are to be used?

    The limit is because of the heat generated, which is the actual
    wattage, not the "equivalent". No household LED bulb will approach
    the limit.

    Indeed, the rating is to do with the amount of heat you can emit before
    melting / setting fire to the fitting.

    Although LED bulbs in some fittings have been known to gradually cook themselves which shortens their life, well below the amount of heat needed
    to damage the fitting. It's worth thinking about ventilation of the fitting
    - eg an upturned bowl will collect the heat, whereas a cylindrical lampshade open at the top and bottom will allow fresh air to circulate to cool the
    bulb.

    Theo
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  • From richard@richard@cogsci.ed.ac.uk (Richard Tobin) to uk.d-i-y on Sun Aug 9 16:07:22 2026
    From Newsgroup: uk.d-i-y

    In article <aWd*2GINA@news.chiark.greenend.org.uk>,
    Theo <theom+news@chiark.greenend.org.uk> wrote:

    Although LED bulbs in some fittings have been known to gradually cook >themselves which shortens their life, well below the amount of heat needed
    to damage the fitting. It's worth thinking about ventilation of the fitting >- eg an upturned bowl will collect the heat, whereas a cylindrical lampshade >open at the top and bottom will allow fresh air to circulate to cool the >bulb.

    I don't have any figures, but I'm doubtful about how significant this
    is. I suspect that the internal temperature of the bulb depends more
    on the design of the bulb itself than on the surrounding air flow.
    Cheap bulbs are likely to lack enough metal to conduct the heat away
    to the air.

    -- Richard
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  • From Jeff Layman@Jeff@invalid.invalid to uk.d-i-y on Sun Aug 9 19:08:42 2026
    From Newsgroup: uk.d-i-y

    On 09/08/2026 17:07, Richard Tobin wrote:
    In article <aWd*2GINA@news.chiark.greenend.org.uk>,
    Theo <theom+news@chiark.greenend.org.uk> wrote:

    Although LED bulbs in some fittings have been known to gradually cook
    themselves which shortens their life, well below the amount of heat needed >> to damage the fitting. It's worth thinking about ventilation of the fitting >> - eg an upturned bowl will collect the heat, whereas a cylindrical lampshade >> open at the top and bottom will allow fresh air to circulate to cool the
    bulb.

    I don't have any figures, but I'm doubtful about how significant this
    is. I suspect that the internal temperature of the bulb depends more
    on the design of the bulb itself than on the surrounding air flow.
    Cheap bulbs are likely to lack enough metal to conduct the heat away
    to the air.

    Theo is right. I have some small ceiling lamps designed for G9 halogens.
    They point down, but can be angled slightly as well, are made of glass,
    and have no ventilation at the socket end. when I changed to G9 leds I
    was surprised at how quickly those bulbs died. I assumed they
    overheated, and tried a different make, but that also failed fairly quickly.

    I eventually found that some Wilko 3.6W (33W halogen equivalent) lasted
    well without dying. In fact, I have a couple of spares which I haven't
    needed for 5+ years. Those bulbs are somewhat longer than the other G9s
    and perhaps aren't so susceptible to the heat.
    --
    Jeff
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  • From Andy Burns@usenet@andyburns.uk to uk.d-i-y on Sun Aug 9 19:17:50 2026
    From Newsgroup: uk.d-i-y

    Jeff Layman wrote:

    I have some small ceiling lamps designed for G9 halogens. They point
    down, but can be angled slightly as well, are made of glass, and have no ventilation at the socket end. when I changed to G9 leds I was surprised
    at how quickly those bulbs died. I assumed they overheated, and tried a different make, but that also failed fairly quickly.

    With incandescent and halogens, they produce 90-95% of their rated power
    as infrared rather than visible light, which can escape somewhat.

    LEDs tend to generate heat within the LED itself, so even if they are
    lower actual power to begin with, 40-60% of that power ends up as heat,
    with limited airflow for cooling, can tend to cook ...

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  • From The Natural Philosopher@tnp@invalid.invalid to uk.d-i-y on Sun Aug 9 20:40:56 2026
    From Newsgroup: uk.d-i-y

    On 09/08/2026 16:23, Generalie wrote:
    Hi All

    I'm looking at getting some replacement light fittings and note that
    they have a stated limit of 60 watts.

    Does this only apply when the old incandescent type bulbs are to be used?
    essentially yes

    The LED bulbs display the equivalent old wattage e. g. 75w, but also
    show the required power at 9.5w.
    I expect that when the cooler operation LEDs are fitted, the 60 or 75w
    value is no longer relevant.

    You are correct

    Thanks

    Phil
    --
    All political activity makes complete sense once the proposition that
    all government is basically a self-legalising protection racket, is
    fully understood.


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  • From Theo@theom+news@chiark.greenend.org.uk to uk.d-i-y on Mon Aug 10 00:04:06 2026
    From Newsgroup: uk.d-i-y

    Andy Burns <usenet@andyburns.uk> wrote:
    Jeff Layman wrote:

    I have some small ceiling lamps designed for G9 halogens. They point
    down, but can be angled slightly as well, are made of glass, and have no ventilation at the socket end. when I changed to G9 leds I was surprised at how quickly those bulbs died. I assumed they overheated, and tried a different make, but that also failed fairly quickly.

    With incandescent and halogens, they produce 90-95% of their rated power
    as infrared rather than visible light, which can escape somewhat.

    LEDs tend to generate heat within the LED itself, so even if they are
    lower actual power to begin with, 40-60% of that power ends up as heat,
    with limited airflow for cooling, can tend to cook ...

    Also a tungsten filament is by nature hot up to about 3000K. Semiconductor junctions are good to about 125C, but higher temperature causes faster
    ageing, well below the tungsten temperature.

    Persistently elevated temperatures can also damage other components like capacitors that are included as part of the lamp - if your capacitor dropper loses capacitance then it's not dropping so much voltage, you start to overvolt/overcurrent the LEDs, they run hotter, and conditions continue to deteriorate until something finally goes.

    Theo
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  • From The Natural Philosopher@tnp@invalid.invalid to uk.d-i-y on Mon Aug 10 05:47:43 2026
    From Newsgroup: uk.d-i-y

    On 10/08/2026 00:04, Theo wrote:
    Andy Burns <usenet@andyburns.uk> wrote:
    Jeff Layman wrote:

    I have some small ceiling lamps designed for G9 halogens. They point
    down, but can be angled slightly as well, are made of glass, and have no >>> ventilation at the socket end. when I changed to G9 leds I was surprised >>> at how quickly those bulbs died. I assumed they overheated, and tried a
    different make, but that also failed fairly quickly.

    With incandescent and halogens, they produce 90-95% of their rated power
    as infrared rather than visible light, which can escape somewhat.

    LEDs tend to generate heat within the LED itself, so even if they are
    lower actual power to begin with, 40-60% of that power ends up as heat,
    with limited airflow for cooling, can tend to cook ...

    Also a tungsten filament is by nature hot up to about 3000K. Semiconductor junctions are good to about 125C,

    Nearer 180-#C these days

    but higher temperature causes faster
    ageing, well below the tungsten temperature.

    Persistently elevated temperatures can also damage other components like capacitors that are included as part of the lamp - if your capacitor dropper loses capacitance then it's not dropping so much voltage, you start to overvolt/overcurrent the LEDs, they run hotter, and conditions continue to deteriorate until something finally goes.

    Yes. I've had a lot of trouble with a room, used a lot, with a pair of
    bulbs hanging down. LEDS keep popping even though the bulbs have plenty
    of airflow.

    other high use rooms have either 'candle' style bulbs or spotlight
    bulbs. These seem to last better


    Theo
    --
    "It is an established fact to 97% confidence limits that left wing conspirators see right wing conspiracies everywhere"

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  • From Roger Hayter@roger@hayter.org to uk.d-i-y on Mon Aug 10 09:42:33 2026
    From Newsgroup: uk.d-i-y

    On 10 Aug 2026 at 00:04:06 BST, "Theo" <theom+news@chiark.greenend.org.uk> wrote:

    Andy Burns <usenet@andyburns.uk> wrote:
    Jeff Layman wrote:

    I have some small ceiling lamps designed for G9 halogens. They point
    down, but can be angled slightly as well, are made of glass, and have no >>> ventilation at the socket end. when I changed to G9 leds I was surprised >>> at how quickly those bulbs died. I assumed they overheated, and tried a
    different make, but that also failed fairly quickly.

    With incandescent and halogens, they produce 90-95% of their rated power
    as infrared rather than visible light, which can escape somewhat.

    LEDs tend to generate heat within the LED itself, so even if they are
    lower actual power to begin with, 40-60% of that power ends up as heat,
    with limited airflow for cooling, can tend to cook ...

    Also a tungsten filament is by nature hot up to about 3000K. Semiconductor junctions are good to about 125C, but higher temperature causes faster ageing, well below the tungsten temperature.

    Persistently elevated temperatures can also damage other components like capacitors that are included as part of the lamp - if your capacitor dropper loses capacitance then it's not dropping so much voltage, you start to overvolt/overcurrent the LEDs, they run hotter, and conditions continue to deteriorate until something finally goes.

    Theo

    Your technical description of the cause of events is not entirely correct (a fall in the capacitance of the dropper will lead to less current at the same voltage drop, making the light dimmer) but I don't disagree about the end result!
    --

    Roger Hayter
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  • From me9@me9@privacy.net to uk.d-i-y on Thu Aug 13 01:57:56 2026
    From Newsgroup: uk.d-i-y

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other components like capacitors that are included as part of the lamp - if your capacitor
    dropper loses capacitance then it's not dropping so much voltage, you
    start to overvolt/overcurrent the LEDs, they run hotter, and conditions continue to deteriorate until something finally goes.

    Capacitance dropping will underrun the leds.
    --
    braind
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  • From Joe@joe@jretrading.com to uk.d-i-y on Thu Aug 13 10:43:33 2026
    From Newsgroup: uk.d-i-y

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other components
    like capacitors that are included as part of the lamp - if your
    capacitor dropper loses capacitance then it's not dropping so much
    voltage, you start to overvolt/overcurrent the LEDs, they run
    hotter, and conditions continue to deteriorate until something
    finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.
    --
    Joe

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  • From Roger Hayter@roger@hayter.org to uk.d-i-y on Fri Aug 14 21:12:31 2026
    From Newsgroup: uk.d-i-y

    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other components
    like capacitors that are included as part of the lamp - if your
    capacitor dropper loses capacitance then it's not dropping so much
    voltage, you start to overvolt/overcurrent the LEDs, they run
    hotter, and conditions continue to deteriorate until something
    finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing the voltage dropper capacitance will under run the LEDs.
    --

    Roger Hayter
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  • From David Wade@g4ugm@dave.invalid to uk.d-i-y on Sat Aug 15 09:26:32 2026
    From Newsgroup: uk.d-i-y

    On 14/08/2026 22:12, Roger Hayter wrote:
    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other components
    like capacitors that are included as part of the lamp - if your
    capacitor dropper loses capacitance then it's not dropping so much
    voltage, you start to overvolt/overcurrent the LEDs, they run
    hotter, and conditions continue to deteriorate until something
    finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing the voltage
    dropper capacitance will under run the LEDs.


    If you can find capacitor dropper LED bulbs BigClive has info here on
    how to hack them, but as that page says LED bulb design has moved on.
    Many , probably most, LEDs bulbs no longer use Capacitor Droppers as its
    hard to achieve the required power factor. Instead they use multiple
    LEDs in series to allow them to be driven at close to mains voltage,
    with a constant current chip to keep the dissipation constant.

    If you want to extend their like take a look at this "Big Clive" video
    which I found interesting on how these work, why some are cheaper than
    others and how to lower the dissipation...

    https://www.youtube.com/watch?v=5HTa2jVi_rc

    the data sheet for the current sense chip is here

    https://www.scribd.com/document/717381518/SM2082D-datasheet

    Dave
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  • From Joe@joe@jretrading.com to uk.d-i-y on Sat Aug 15 11:45:40 2026
    From Newsgroup: uk.d-i-y

    On 14 Aug 2026 21:12:31 GMT
    Roger Hayter <roger@hayter.org> wrote:

    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other
    components like capacitors that are included as part of the lamp
    - if your capacitor dropper loses capacitance then it's not
    dropping so much voltage, you start to overvolt/overcurrent the
    LEDs, they run hotter, and conditions continue to deteriorate
    until something finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing
    the voltage dropper capacitance will under run the LEDs.


    And reducing the larger value capacitor in the dropper will *increase*
    the LED drive.

    It works pretty much like a resistive voltage divider if the current
    drawn is small, remembering that the larger the capacitor, the smaller
    the reactance.
    --
    Joe

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  • From Roger Hayter@roger@hayter.org to uk.d-i-y on Sat Aug 15 12:45:40 2026
    From Newsgroup: uk.d-i-y

    On 15 Aug 2026 at 11:45:40 BST, "Joe" <joe@jretrading.com> wrote:

    On 14 Aug 2026 21:12:31 GMT
    Roger Hayter <roger@hayter.org> wrote:

    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other
    components like capacitors that are included as part of the lamp
    - if your capacitor dropper loses capacitance then it's not
    dropping so much voltage, you start to overvolt/overcurrent the
    LEDs, they run hotter, and conditions continue to deteriorate
    until something finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing
    the voltage dropper capacitance will under run the LEDs.


    And reducing the larger value capacitor in the dropper will *increase*
    the LED drive.

    It works pretty much like a resistive voltage divider if the current
    drawn is small, remembering that the larger the capacitor, the smaller
    the reactance.

    No it doesn't. The voltage across the LED is largely governed by the
    properties of the LED, and putting a large capacitor across it might vary the reactive current but doesn't act as a voltage divider at all.
    --

    Roger Hayter
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  • From The Natural Philosopher@tnp@invalid.invalid to uk.d-i-y on Sat Aug 15 14:06:44 2026
    From Newsgroup: uk.d-i-y

    On 15/08/2026 13:45, Roger Hayter wrote:
    On 15 Aug 2026 at 11:45:40 BST, "Joe" <joe@jretrading.com> wrote:

    On 14 Aug 2026 21:12:31 GMT
    Roger Hayter <roger@hayter.org> wrote:

    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other
    components like capacitors that are included as part of the lamp
    - if your capacitor dropper loses capacitance then it's not
    dropping so much voltage, you start to overvolt/overcurrent the
    LEDs, they run hotter, and conditions continue to deteriorate
    until something finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing
    the voltage dropper capacitance will under run the LEDs.


    And reducing the larger value capacitor in the dropper will *increase*
    the LED drive.

    It works pretty much like a resistive voltage divider if the current
    drawn is small, remembering that the larger the capacitor, the smaller
    the reactance.

    No it doesn't. The voltage across the LED is largely governed by the properties of the LED, and putting a large capacitor across it might vary the reactive current but doesn't act as a voltage divider at all.

    The problem is that once you introduce a non linear element like an LED
    you can essentially throw all of the linear analyses out of the window.

    A large part of circuit design consits in arranging things so you dont
    have to deal with that.
    --
    "Women actually are capable of being far more than the feminists will
    let them."



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  • From Roger Hayter@roger@hayter.org to uk.d-i-y on Sat Aug 15 14:56:31 2026
    From Newsgroup: uk.d-i-y

    On 15 Aug 2026 at 14:06:44 BST, "The Natural Philosopher"
    <tnp@invalid.invalid> wrote:

    On 15/08/2026 13:45, Roger Hayter wrote:
    On 15 Aug 2026 at 11:45:40 BST, "Joe" <joe@jretrading.com> wrote:

    On 14 Aug 2026 21:12:31 GMT
    Roger Hayter <roger@hayter.org> wrote:

    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other
    components like capacitors that are included as part of the lamp >>>>>>> - if your capacitor dropper loses capacitance then it's not
    dropping so much voltage, you start to overvolt/overcurrent the
    LEDs, they run hotter, and conditions continue to deteriorate
    until something finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing
    the voltage dropper capacitance will under run the LEDs.


    And reducing the larger value capacitor in the dropper will *increase*
    the LED drive.

    It works pretty much like a resistive voltage divider if the current
    drawn is small, remembering that the larger the capacitor, the smaller
    the reactance.

    No it doesn't. The voltage across the LED is largely governed by the
    properties of the LED, and putting a large capacitor across it might vary the
    reactive current but doesn't act as a voltage divider at all.

    The problem is that once you introduce a non linear element like an LED
    you can essentially throw all of the linear analyses out of the window.

    A large part of circuit design consits in arranging things so you dont
    have to deal with that.

    For instance by setting bounds within which linear approximations are valid.
    --

    Roger Hayter
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  • From The Natural Philosopher@tnp@invalid.invalid to uk.d-i-y on Sat Aug 15 16:27:58 2026
    From Newsgroup: uk.d-i-y

    On 15/08/2026 15:56, Roger Hayter wrote:
    On 15 Aug 2026 at 14:06:44 BST, "The Natural Philosopher" <tnp@invalid.invalid> wrote:

    On 15/08/2026 13:45, Roger Hayter wrote:
    On 15 Aug 2026 at 11:45:40 BST, "Joe" <joe@jretrading.com> wrote:

    On 14 Aug 2026 21:12:31 GMT
    Roger Hayter <roger@hayter.org> wrote:

    On 13 Aug 2026 at 10:43:33 BST, "Joe" <joe@jretrading.com> wrote:

    On Thu, 13 Aug 2026 01:57:56 +0100
    me9 <me9@privacy.net> wrote:

    Theo <theom+news@chiark.greenend.org.uk> wrote:


    Persistently elevated temperatures can also damage other
    components like capacitors that are included as part of the lamp >>>>>>>> - if your capacitor dropper loses capacitance then it's not
    dropping so much voltage, you start to overvolt/overcurrent the >>>>>>>> LEDs, they run hotter, and conditions continue to deteriorate
    until something finally goes.

    Capacitance dropping will underrun the leds.

    There are two capacitors.

    Or maybe more. So - doesn't alter the statement that that reducing
    the voltage dropper capacitance will under run the LEDs.


    And reducing the larger value capacitor in the dropper will *increase* >>>> the LED drive.

    It works pretty much like a resistive voltage divider if the current
    drawn is small, remembering that the larger the capacitor, the smaller >>>> the reactance.

    No it doesn't. The voltage across the LED is largely governed by the
    properties of the LED, and putting a large capacitor across it might vary the
    reactive current but doesn't act as a voltage divider at all.

    The problem is that once you introduce a non linear element like an LED
    you can essentially throw all of the linear analyses out of the window.

    A large part of circuit design consits in arranging things so you dont
    have to deal with that.

    For instance by setting bounds within which linear approximations are valid.

    Exactly...
    And using parts which have linear characteristics to compensate for
    those that do not
    --
    The New Left are the people they warned you about.

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