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# Inductance

## The Electro Magnetic Field - EMF - induced into a electric circuit.

Inductance is a property of an electrical conductor by which a change in current flowing through it will induces an electromagnetic field - EMF (e.m.f.) - and an electromotive force in the conductor itself and in nearby conductors by mutual inductance.

The unit of inductance is henry - H.

A circuit has an inductance of one henry when an e.m.f. of one volt is induced by a current changing at the rate of one ampere per second.

The induced electromagnetic field - EMF - in a coil can be expressed as

EMF = -n dΦ / dt                      (1)

where

EMF = electromagnetic field - EMF (volts)

n = turns

dΦ = change in flux (webers, Wb)

dt = time (s)

Alternatively, the induced electromagnetic field - EMF - in a coil of inductance L can be expressed as

EMF = -L dI / dt                        (2)

where

L = inductance (henrys, H)

dI = change in current (amperes)

dt = time (s)

### Example - Inductance

The EMF induced in a coil with 500 turns with a change of flux of 30 mWb in 30 ms can be calculated as

EMF = -500 (30 10-3 Wb) / (30 10-3 s)

= -500 Volts

### Coil Inductance

For an air filled cylindrical wire coil the inductance can be calculated with the empirical formula

L = μo n2 A / (l + 0.45 d)                       (3)

where

μo = permeability for vacuum µ0 = 4π 10−7 H/m ≈ 1.2567 10−6 H/m

A = cylinder cross section area (m2

n = number of wire turns

l = length of coil (m)

d = diameter coil (m)

The equation is valid for l > 0.5 d.

## Related Topics

• ### Electrical

Electrical engineering with units, amps and electrical wiring. Wire gauges, electrical formulas, motors and more.

## Related Documents

• ### Electrical Inductance - Serial and Parallel Connections

Electrical inductance in serial and parallel connected inductors.
• ### Inductors - Stored Energy

Energy stored in a magnetic field.
• ### Permeability

Electromagnetism and formation of magnetic fields.

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## Citation

• The Engineering ToolBox (2008). Inductance. [online] Available at: https://www.engineeringtoolbox.com/induction-d_1390.html [Accessed Day Month Year].

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7.8.15

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