Electronics Formulas

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Enter: Enter Diameter of Coil = 2.378 inches
Enter: Enter Wire Size = .0201 inches (See Table = 24 gage)
Enter: Enter Inductance = Micro Henries Wanted = 603

Answer: T = Number of Turns = 122.87
Answer: Rejected Answer
Answer: Number Under the Square Root Bracket

Formula used here:
Let b1 = (d*d)*(T*T)
Let b2 = (18*d + 40*W*T)
=> L = b1/b2 = Micro-Henries = Inductance
d = Coil Diameter (Inches)
W = Wire Diameter (Inches)(See Table Below)
This is a Quadradic Equation:
Solving for T = Number of Turns:
A = d*d
B = 40*W*L
C = 18*d*L
=> A*T*T - B*T - C = 0
=> Quadradic Formula:
T = (-B + SqRt(B*B - 4*A*C))/(2*A)
T = (-B - SqRt(B*B - 4*A*C))/(2*A)

The length of the coil used in the inductor
should be equal to 0.4 times the diameter of
the coil.
As shown in the equation, inductance of the
air-core inductor varies as the square of the
number of turns. Thus the value ‘W*T’ is
multiplied four times if the value of ‘T’ is
doubled. The value of ‘W*T’ is multiplied by
two if the value of ‘T’ is increased up to 40%.
W*T = Length of the Coil = (Wire-Diameter)*(Number-of-Turns)