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Watt Calculation Question

04/07/2014 3:41 AM

Two 100W,200v lamp Connect in seris acros 200v supply total power consumed by each lamp will be watt??

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Guru
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#1

Re: pl give me ans

04/07/2014 4:08 AM

If one were to plot a graph of applied voltage versus resistance for a tungsten filament, one would find that it has a negative slope, i.e. as the applied voltage increases, so does the resistance. So it is not possible to answer the question accurately without trying the proposed arrangement out, and measuring it.

Maybe it's time to ditch those antique 100W tungsten filaments for something more up-to-date like LED cluster lamps or compact fluorescents, perhaps?

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#12
In reply to #1

Re: pl give me ans

04/07/2014 9:20 AM

Wouldn't that be a positive slope, the way things are usually plotted?

I believe the resistance increases with temperature, hence with rising current as you say. Explains why filament bulbs have inrush current greater than running current.

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#16
In reply to #12

Re: pl give me ans

04/07/2014 10:23 AM

Agreed.

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#2

Re: pl give me ans

04/07/2014 4:18 AM

Correct, except the total power consumed will be watts, not just a single watt as you suggest.

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Guru
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#3
In reply to #2

Re: pl give me ans

04/07/2014 4:58 AM

"................total power consumed by each lamp will be watt??"

What ? Is it a what or a watt? Maybe it is a vat ?

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#5
In reply to #3

Re: pl give me ans

04/07/2014 5:19 AM

His instructor will correct his paper tomorrow, and "enlighten" him.

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#4
In reply to #2

Re: pl give me ans

04/07/2014 4:58 AM

I think he meant "what" not watt. At any rate, Ohm's law or "wattever" they call it today, is his friend.

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Power-User

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#6

Re: pl give me ans

04/07/2014 5:42 AM

If you connect half the voltage, the current drawn will also be halved and so the wattage will be 25% for each(each bulb). I am considering everything linear.

Gajanan Phadte

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#7
In reply to #6

Re: pl give me ans

04/07/2014 7:17 AM

Pl tell me numrically sir

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#9
In reply to #7

Re: pl give me ans

04/07/2014 8:04 AM

Still grappling with Ohms Law, eh?

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#10
In reply to #7

Re: pl give me ans

04/07/2014 8:19 AM
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#13
In reply to #7

Re: pl give me ans

04/07/2014 9:40 AM
  • specific rules for posting:

  • Look for answers before you post. Check a search engine or two to see if you can find the answer to your question or a collection of useful links. If you can't, or if the answer you find is unclear, then that's a pretty good justification for asking the question on CR4. We don't want to stifle questions, but you're more likely to get a helpful response if you've done a little research on your own.
  • Do your own homework. CR4 is not a homework cheat site. While some here might relish the opportunity to sharpen up old rusty skills by working the homework problem, consider the following and consider it well. If you cheat on your homework by using someone else's answers, you are only cheating yourself, because the purpose of any homework or other academic assignments is to help you learn - by practice, repetition, and self-discovery.
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#8
In reply to #6

Re: pl give me ans

04/07/2014 8:03 AM

That assumes each filament will be at the same temperature, and ignores the change in resistance with applied voltage, both of which introduce non-linearities, so one must question the validity of those assumptions.

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#11

Re: Watt Calculation Question

04/07/2014 9:12 AM

Each lamp will have 100v across it. Because the filement resistance changes with temperature, the power consumed is not proportional to V2 but has been empirically determined to be proportional to V1.6. So the answer is 33W each.

Ref: http://en.wikipedia.org/wiki/Incandescent_light_bulb

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Guru

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#14
In reply to #11

Re: Watt Calculation Question

04/07/2014 9:56 AM

Exponent tool in tool bar doesn't seem to work!

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#15
In reply to #14

Re: Watt Calculation Question

04/07/2014 10:17 AM

Testing, testing

Each lamp will have 100v across it. Because the filement resistance changes with temperature, the power consumed is not proportional to V2 but has been empirically determined to be proportional to V1.6. So the answer is 33W each.

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Guru

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#25
In reply to #15

Re: Watt Calculation Question

04/09/2014 7:06 PM

Maybe it's the browser, I'm using Chrome. Test: P=V2/R.

In the edit window it is right. In the preview window it is not.

Thanks for correcting my post.

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#26
In reply to #25

Re: Watt Calculation Question

04/09/2014 7:11 PM

OK, here's a test with IE. P=V2/R.

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Guru

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#27
In reply to #26

Re: Watt Calculation Question

04/10/2014 5:24 AM

That's better!

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#17
In reply to #14

Re: Watt Calculation Question

04/07/2014 10:23 AM

Mine doesn't either in Opera.

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#18
In reply to #17

Re: Watt Calculation Question

04/07/2014 10:35 AM

My #15 seems OK. What's Opera (apart from the obvious!)?

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#19
In reply to #18

Re: Watt Calculation Question

04/07/2014 12:24 PM

Browser.

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Guru

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#20
In reply to #11

Re: Watt Calculation Question

04/07/2014 1:01 PM

Well they could be 100 watt equivalent LED's, which consume only 22 watts.....

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Guru

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#21

Re: Watt Calculation Question

04/07/2014 5:12 PM

Oh...my...glob...

I cannot believe some of the answers which are getting GA's.

OP: Are you seriously asking what the wattage used by two (2) 100 Watt lamps is? Do you mean Amps?

Thanks to Lyn for moderating.

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Guru

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#22

Re: Watt Calculation Question

04/07/2014 7:28 PM

A good approximation of filament bulb attitude in varying voltage, is that of a constant current drain, i.e. it will try to keep the consumed current nearly stable. So, that specific bulb can be characterized as a .5 Ampere lamp, and connecting two in series will give a total wattage about the same (and a tad lower) as a single bulb, so the power for each bulb will be about half the original. Naturally light color temperature will drop significantly (It will become more red-ish). S.M.

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#23

Re: Watt Calculation Question

04/07/2014 11:29 PM

When two lamps are connected in series then it becomes a series lamp and as you know in series voltage get divided so total power consumption is at 100 W and when these are connected across 400V then power consumption will be 200W.

In Parallel circuits voltage remains the same but in Series circuits voltage get divided according to resistance of load. In above case resistance of two lamps is same so power consumption will be 100W only.

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#24
In reply to #23

Re: Watt Calculation Question

04/08/2014 6:46 AM

Can't agree with all of that.

Your 1st pararagraph is obvious, as if total volts is 400 each bulb sees 200 volt, so behaves as design, 100W at 200 volt.

2nd paragraph is wrong. In series at 200 volt total each bulb sees 100 volt. Power = V2/R so if R stays constant power is down to 100*0.52 = 25W.

But in practice the resistance is lower as current hence filament temperature is lower, so power is > 25W. See Rixter's post #11.

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Anonymous Poster (1); bhupesh (1); Codemaster (5); gmphadte (1); JWthetech (1); kvsridhar (1); lyn (5); navdeep_goyal (1); PWSlack (3); Rixter (4); SimpleMind (1); SolarEagle (2); The.Tinkerer (1)

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