How to Calculate Electrical Winding Wires by Weight & Length

Electric windings are inductors.
••• Jupiterimages/ Images

Electrical winding wire is used to create inductors. An inductor is a iron core with coils of wire wrapped around it. The number of turns of the coil wire determines the inductance value. Inductors are used in a variety of electrical devices including transformers and electric motors. In fact, the transformer ratio is the ratio between the primary winding and secondary winding where the word winding refer to coils of wire. For this reason, calculating electrical winding wire is analogous to calculating the value of the inductance associated with the winding.

    Find the radius of the wire coil or winding in meters. Refer to the manufacturer's specification regarding the winding or measure it with a micrometer from the center of the wire coil to the outer section of the coil. Call this value "r."

    Find the area of the winding using the formula A = pi * r^2 where pi is 3.1415. For example, if r is 1.5 meters:

    A = 3.1415 * (1.5)(1.5) = 7.068 square meters.

    Find the number of wire turns and the length of the wire. This is the number of times the wire wraps around the iron core. Refer to manufacturer's specifications of the winding for these values. Call the number of turns N and the length l.

    Calculate the inductance associated with the winding using the formula L = (u0 * A * N^2)/l where u0 is the permeability of free space at 12.56 x 10^-7. If N is 100 turns, l is 6 meters and A is 7.069 square meters.

    L = [(12.56 x 10^-7)(7.069)(100)(100)]/6 = 14.79 mH or millihenries.

    Note: The combination of the area and the length in the formula takes into account the weight of the wire.

Related Articles

How to Calculate Toroidal Transformers
How to Calculate the Henrys in a Coil
How to Calculate the Inductance of a Ferrite Inductor
How to Calculate Induced Armature Voltage
How to Calculate the Length of Cable on a Drum
How to Calculate Tire Turns Per Mile
How to Size a Transformer KVA
How to Measure Electric Motor Torque
How to Calculate CT Ratio
How to Calculate the Area of a Pipe
How to Calculate the Field Current in a DC Motor
How to Calculate the Length of Wire to Make a Coil
How to Calculate the Grip Length of a Bolt
How to Calculate the Inductance of a Coil
What Is a Toroid Coil?
Parts of a Motor
What Is a Ferrite Clamp?
How to Find the Volume of a Sphere in Terms of Pi
How to Calculate Transformer VA Rating

Dont Go!

We Have More Great Sciencing Articles!