Using basic calculation of amps times volts equals watts you can see that a 15 amp circuit at 120volts has a capability of 1800 watts but a circuit should never be loaded above 80% so you have 1440 watts available. Most recessed light will not allow higher than a 75 watt bulb so assuming this take 1440 watts and divide by 75 watts to get 19.2 bulbs as you cant have a partial bulb go with no more than 19 lights. On a normal height ceiling of about 9 feet I never place recessed lights closer than 24 inches to the wall. As for interconnecting you just run a wire from one recessed light to the next. I would recommend that if you do not feel comfortable with the placement or wiring of these lights that you contact an electrician that specializes in lighting design to help you.
If you are referring to house wiring then the answer is no. A breaker protects the wire size that is connected to the breaker. In home wiring most homes are wired with a #14 wire which is rated at 15 amps. That is why the wire is protected by a 15 amp breaker. The correct wire size to connect to a 40 amp breaker is a #8. This size wire is too large to connect to receptacles an light fixture terminals.
Recessed lighting is one of the best ways to get beautiful effects in certain spaces. Recessed lights come in all sorts of forms and make a space look classy and inviting to other people. It is truly a great idea to invest in recessed lights, if a person wants to make a home look more inviting and attractive to a person. Recessed lighting is one of the best options a person has to make a home look expensive and appealing. Recessed lighting looks amazing when used with plants in a home. Plants can look tropical and exotic with recessed lights. It can also be a great way to get a cool look for any party or social event. Guests love seeing recessed lighting on patios or at cocktail parties. There is just something about recessed lighting that makes a person feel he or she is part of something thrilling and exclusive. It is a great idea to use this lighting to spice up any cocktail party or social event that one hosts at his or her home. Another great idea is to use recessed lighting for a piano studio or music studio. A piano studio looks awesome with recessed lighting, and any pianist will feel like a movie star under such lights. Recessed lighting looks beautiful during a piano recital in particular for pianists. This is a great thing to use to make a studio look more inviting to guests and other members of an audience. Recessed lighting may also be used outdoors for plants. For a walkway, recessed lighting looks spectacular when used with plants that align a walkway. This is the best way to achieve a sort of classic look for a home. Even in a kitchen, recessed lighting can look awesome. In a kitchen, recessed lighting can give the kitchen an appearance of a famous restaurant or even a night time bar. To achieve this look, one simply needs to install a few recessed lights on the ceiling of a kitchen. There are plenty of ways to install a light and it is not at all that difficult. Installing these lights also increases the value of any home.
In a well designed house the lights are not connected to the same circuit as an appliance. If by going out you are saying that a breaker trips, then your appliances and lights combined are exceeding the rating of the breaker. You either need to rewire and balance the loads better or plug high current appliances into different outlets on another breaker. If you are not tripping breakers, but lights are just dimming you have a bigger problem with inadequate current supplying your house.
If there is nothing else on the circuit then you could easily install 15. If there are outlets on the same circuit then try and keep the total of outlets and lights to a maximum of 15. But in reality the number of devices depends on how many amps each device pulls. Add up the amperage of the recessed lights you are going to install and then add any outlets and what may be plugged into them to get the number you can install. A 100 watt light bulb will draw about 1 amp. So you can easily have 15 on a 20 amp circuit.
Recessed lights or "can lights" have thermal protection for safety that cuts the power to a light fixture if it heats to a set temperature. Obviously, this is to protect the fixture and more importantly, to prevent a fire in the attic. Check for insulation of other material directly above and around the affected light to make sure it has the proper clearance.
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