The Electrical System

Regardless of the style of cabin that someone decides to build, the cabin will most likely have to be wired for user comfort. The very best way to go about wiring a cabin, would be to hire an electrician who thoroughly knows all of the local building codes and regulations. However, there are some locations such as remote Alaska, where electricians are not readily available, and it is legal for homeowners to do their own wiring. Under such conditions it is important for a homeowner to gather information about electricity, and understand building codes, before they wire their home.

There  are two main types of electricity, both AC (alternating current) and DC (direct current).  Most homes that are on the grid have an AC wiring system, because city power comes as alternating current. The amount of electricity (potential) in in a given wire is measured in volts, which is abbreviated as V.  For the typical home that is on the grid, the power system is usually 120V because that is the what most household appliances will run off of. However, there are some appliances that require a significant amount of power to run, such as shop tools, ovens, and other equipment which is 240V.

Batteries are a common source of electricity, and are often used in conjunction  with solar panels to power homes. However, batteries have DC current, and since home appliances are AC, it is necessary to include a sine wave converter in the system in order to convert the power from DC to AC. The amount of power in a battery is measured as potential difference and the standard units of the potential difference is volts (V).

According to Randall Knight in his text Physics For Scientists and Engineers, there is a simple relation between volts, resistance, and amps. The relationship is I=V/R where I is the current, and is measured in Amps (A), V is potential difference, and is in units of Volts (V), and R is resistance, and is in units of ohms. This relationship is important when used to solve circuits when wiring a house (or anything else).

Resistance is a very important concept of electricity. Take for instance the incandescent light bulb. The incandescent light bulb works by reducing the size of wire that electricity has to travel through, and the reduced size then causes the electrons traveling through the wire to have lots of collisions. Those collisions give off energy in the form of useable light, and excess heat. These collisions are a result of resistance. When wiring a cabin, there are two common ways to wire electrical fixtures, both in parallel, and in series. When there are multiple resistors wired in series, they can be replaced by a single equal resistor by the equation Req = R1 + R2 +...+Rn (Physics for Scientists and Engineers P.899). When there are multiple resistors in parallel, they could be replaced by a single resister by the equation
Req = {(1/R1) + (1/R2)+...+(1/Rn)}^-1 (Physics for Scientists and Engineers P.903). The key to understanding resistors in series is that they all have the same amount of current running through them. The current in parallel resistors on the other hand has to split into the different paths, it is split up according to the junction law which states that Itotal = I1 + I2 +...+ In (Physics for Scientists and Engineers P.903).

The following example will show the various steps to analyzing and solving a circuit with both parallel, and series resistors.




Drawing and solution produced by the author.

As we can see, we can replace the six resistors with one equal resistor which has a resistance of 57.86 Ohms.



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