The time it takes to smoke a turkey in an electric smoker can vary quite a bit. Smoking time for any meat depends on many different factors.
Temperature of the smoke chamber
Temperature of the meat when it goes in
How often the smoker is opened up during smoking
Outdoor temperature
Wind and other weather conditions
Type of meat being smoked
Size and shape of meat
Turkeys can be smoked at the usual smoking temperature of 225 degrees Fahrenheit, and at that temperature it can take approximately 45 minutes or more per pound.
If your smoker is capable of heating up to about 300 degrees, the turkey will take roughly 15 minutes per pound.
However the best way to know when to remove a turkey from the smoker is to go by its internal temperature. Remove it when the breast meat reaches 160 degrees, and the thigh is 170. The internal temperature will rise after you remove it from the smoker, reaching the USDA accepted done temperatures of 170 for white meat and 180 for dark.