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240V lighting??????

MrMark

Well-known member
Joined
Jan 25, 2010
Messages
4,626
Location
Southern Cal.
Lets try some math?

First the peak voltage for a 120VAC sine wave is actually 169.7V. Alternating current, or AC, is constantly changing direction and intensity. If you could periodically sample the voltage at sequential intervals in one cycle, you would find that in a 120V system the instantaneous voltage varies between -169.7V and +169.7V. Without doing any actual math, it turns out that the RMS value of a sine wave is approximately 0.707 times the peak value

In a single phase center tap application like is found in US Homes, the following two equations represent the voltage of each Leg:
Leg 1 Voltage = L1(t) = +169.7 * sin(120PI(t) + 0)
Leg 2 Voltage = L1(t) = -169.7 * sin(120PI(t) + 0)

At t=1/240, or 1/4 way through a cycle, the peek voltage you would get:
Leg 1 Voltage = L1(1/240) = +169.7 * sin(120PI(1/240) + 0) = +169.7
Leg 2 Voltage = L1(1/240) = -169.7 * sin(120PI(1/240) + 0) = -169.7

The differential between the Legs is now 339.4 Volts. Note I said differential, not the sum. Applying the RMS, the voltage between the two Legs is 240V.


Now is we looked at a two phase system with the sine waves perfectly out of sinc we would get:

Leg 1 Voltage = L1(t) = +169.7 * sin(120PI(t) + 0)
Leg 2 Voltage = L1(t) = -169.7 * sin(120PI(t) + PI)

At t=1/240, or 1/4 way through a cycle, the peek voltage you would get:
Leg 1 Voltage = L1(1/240) = +169.7 * sin(120PI(1/240) + 0) = +169.7
Leg 2 Voltage = L1(1/240) = -169.7 * sin(120PI(1/240) + PI) = +169.7

The differential between the Legs is now 0 Volts. Note I said differential, not the sum.

I believe I have all the math correct, it's been a few (many) years since I've done this, but there you go. Oh the reason the L2 voltage is a Negative is because of the transformer and the center tap.

Hope this helps.

I don't know about the math, it is probably right, but it is tangential to what we are discussing.
 
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desert4wd

Well-known member
Joined
Feb 9, 2008
Messages
66
Location
Oregon
I caught this thread using the search. Just wanted to say thanks to fflinstone for posting the questions up and to Charles (in GA) for his answer on the 240v switch needed. (all the input is good)
Here, wiring up a 240v, 1500w T3 lamp (using it as a screen print exposure unit located in a rolling work station). I just wanted to have it switched because I'm timing the exposures and it would be a hassle to unplug each time.
Cheers,
Happy New Year as well.
 

kbs2244

Well-known member
Joined
Nov 11, 2006
Messages
14,065
All the 220VAC ballasts I have seen were for, or from, pretty large installs.
They were single wire 220 (kind of like Europe.)
I always thought they were for one leg of a 440 system.

But, for a DIY garage/shop though, I agree with whoever said
“Who cares. There is so much 120 stuff out there for cheap, why bother unless it is less than free.”
 
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