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Question:

why we use 19 wires for AWG wire ? why we cant use 10 wire ?

awg is an american stander to manufacturing electrical wires

Answer:

To repair it your self, which is what your question seems to be asking....Leave the breaker off.. Unscrew the burnt wire from the fixture. Pull the black wire out a bit for some slack to work with,. Cut the scorched wires end off to fresh wire, and strip the plastic coating off of the wire up to about an inch. If it isn't a solid piece of wire twist the ends so they form a smooth wire. Use some pliers, (needle nosed, work best ) to create a u in the stripped wire, and then hook it around the screw you removed the wire from, Making sure no exposed wire touches the other wire that is screwed on the plug too, tighten it down then push the wires back into the wall and remount the plug and cover. Then I would check the other outlet that is on that same breaker just for safety's sake.
YOUR QUESTION IS NOT CLEAR IF YOU ARE TALKING ABOUT 19 # WIRE THEN ................ IT DEPENDS ON THE LOAD #10 is more thicker than # 19 and hence can bear the more load of current / more Amps of current
AWG has about 44 different size wires. Do you mean #19 as opposed to #10? #19 is usually not available, only even numbers, such as #18 or #20. so if you are using #19, it must be specially manufactured. #19 is a lot thinner than #10, 0.036 diameter vs 0.1 #10 can handle a lot more current then #19, 15 amps vs 2 amps edit: 12 awg (13x0.504+6x0.37) = 19 wires. 6rm ( 7x0.85) = 7 wires Those are called STRANDS. some wire is made up of strands of smaller wire twisted together so the wire is more flexible. But it can be all one strand, it can be a few, it can be hundreds, there is no real standard on that. If you search you can probably find #12 with 1 strand, 19 strands, or other numbers. Although 19 strands seems most common, there is no real reason for that number. .
The geometry required to make a stranded circular cable, dictates the use of 7, 13, 19, etc strands. Your question is clear, and the practical reason for using 19 strands in some stranded cables is equally clear. Large cables have to be stranded, so that they can be wound on cable drums for transportation, or installed on-site with bends. Solid cables would not easily allow this. Seven strands can be used for smaller cables. SINGLE core stranded as well as solid core cables use less insulation and take-up less space when circular. So the question is, what is the BEST way to arrange the strands to provide a circular shape? Start one central strand. Six more strands fit very well around the central strand. Total strands is now 7. Try this with seven coins about the same diameter. There is room to place six more strands (or coins) in each of the slight openings between the outer sides of the first six strands. This fitting in also locks the shape of the bunch of strands. Total strands is now 13. Six new, but larger gaps appear between the outers of the last laid six strands. Filling these gaps with the final six strands, results in a shape which is a cross between a circle and a hexagon. Total strands is now 19. Cords can be used as a filler to make the bundle more circular in shape. Only 7, 13, 19, etc strands will give this near circular shape. 14,15,16, 17,18, 20, 21, 22, 23, 24, 25,......strands will NOT give a near circular shape to a cable. Try it with, 19 similar diameter coins or washers or copy out 19 circles in CAD. As more 'circles' are added the fit gets worse. Both the shape and fit can be improved by using different diameter strands for part of the assembly. This is basic to all cables, electrical as well as mechanical.

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