Hey kinggirl! Welcome to Reoville!
In order to determine a safe resistance level, you'll need to know a little bit about the battery that you'll be using as well as Ohm's Law.
For instance, the AW IMR 18650 1600mah
batteries have a 15C rating. This means that the maximum continuous discharge rate (Amperes) is 15 times the 1600mah battery capacity (or 24A).
AW IMR 18650 1600mah Maximum Continuous Discharge Rate:
IB = 24A
AW IMR 18650 1600mah Maximum Voltage:
VB = 4.2V
Note: For safety purposes, we should always use the Maximum Battery Voltage and Maximum Battery Continuous Discharge Rate.
Now, given these two parameters, we can calculate the minimum "safe" resistance using Ohm's Law.
R = VB / IB = 4.2V / 24A = 0.175ohm
This means that any coil you wrap when using an AW IMR 18650 1600mah battery must have a resistance greater than 0.175ohm.
On to the coil. When calculating the resistance of a coil, there are a few parameters you'll need:
CD: Coil Diameter (inches)
CW: Number of Wraps
CL: Length of Coil Legs (inches)
KR: Resistance of Kanthal Wire (inches)
You can then use the following equation to determine the resistance of the coil.
Coil Resistance:
CR = (PI * CD * CW + 2 * CL) * KR
Note: this formula should work alright as long as you keep the units the same (inches, feet, centimeters, meters, etc...) Inches just seem to be what most are using. This is what people are describing with a 1/16 drill bit. 1/16 of an inch.