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The Daily Insight

What is the formula for calculating inductance?

Author

John Peck

Updated on March 30, 2026

The formula is: The micro henrys of inductance in a coil = (N^2)(D^2)/(18D + 40L) where “N” equals the number of rings in the coil, “D” equals the diameter of the coil and “L” equals the length of the coil.

How is PCB trace inductance calculated?

Calculate the PCB trace inductance, or “L,” using the formula L = Zo * DLY. Using the example numbers: L = 20 x 10^-3 * 12 x 10^-12 = 240 x 10^-15 henries or 0.24 pH, where pH is units of picohenries. Traces on PCBs are small and therefore have small inductance levels.

How much inductance does a wire have?

A ballpark answer is 1 micro henry per meter for single conductors. Parallel conductors are lower as would be the case for two inductors in parallel.

What is the inductance of a straight wire?

zero
But in the case of straight conducting wire, the number of turns is zero. As the self-inductance is given as proportional to the number of turns of the coils. Therefore in the case of a straight conductor, the self-inductance is always zero.

Which is the right formula for inductance?

Inductance = L = et/N.

How do you calculate inductance and impedance?

Answer: The inductor impedance calculator calculates the impedance of an inductor based on the value of the inductance, L, of the inductor and the frequency, f, of the signal passing through the inductor, according to the formula, XL= 2πfL.

Do cables have inductance?

The inductance, L , per core of a 3-core cable or of three single-core cables comprises two parts namely the self-inductance of the conductor and the mutual inductance with other cores.

What is the value of 1 Henry?

The henry (symbolized H) is the Standard International ( SI ) unit of inductance . Reduced to base SI units, one henry is the equivalent of one kilogram meter squared per second squared per ampere squared (kg m 2 s -2 A -2 ).

What is the basic three electrical quantities?

It defines the relationship between the three fundamental electrical quantities: current, voltage, and resistance. Therefore, if the voltage is increased, the current will increase provided the resistance of the circuit does not change.

What is the minimum inductance required for a good ground loop?

Something close to this performance can be achieved with the Teledyne LeCroy ground blade or ground spring accessories which may have an inductance of 10-20 nH. It is also important to consider the whole ground loop and connect to a nearby low inductance ground point on the device under test.

How to calculate the inductance of an inductor?

Inductors & Inductance Calculations 1 Series-Connected Inductors. Total inductance of series-connected inductors is equal to the sum of the individual inductances. 2 Straight Wire Parallel to Ground Plane w/One End Grounded 3 Multi-Layer Air-Core Inductance 4 Parallel-Connected Inductors. 5 Inductance Formula Constants and Variables.

How do you calculate the total inductance of a parallel-connected wire?

The ARRL Handbook presents this equation for a straight wire suspended above a ground plane, with one end grounded to the plane: Total inductance of parallel-connected inductors is equal to the reciprocal of the sum of the reciprocals of the individual inductances.

How do you ground loop a probe in a circuit?

The most typical way is using the long ground lead with the alligator clip on the end. This might lead to a ground loop inductance larger than 200 nH, which can significantly compromise the performance of the probe. We can create an equivalent circuit model for such a probe as shown below.