08/21/06 12:16 AM

 

Coil or Conductor

Configuration (meters)

 

Self Inductance

DC Value

High Frequency or Pulse Value

1 Single Conductor, circular and solid section

r is the conductor radius and l is the conductor length

wpe7.jpg (4292 bytes) wpe3.jpg (2128 bytes) wpe4.jpg (2003 bytes)
2 Single conductor, rectangular section wpe9.jpg (2424 bytes) wpe1.jpg (3952 bytes)

Table 3 is on page 23 of ref 1

 
3(a) Return circuit of two tubular concentric conductors wpeA.jpg (4207 bytes) Ref 1 page 41 wpe9.jpg (2092 bytes)
3(b) Return circuit of two tubular concentric conductors with thin conductors wpeB.jpg (4171 bytes) wpe7.jpg (2294 bytes) wpe8.jpg (2092 bytes)
4 Return circuit of eccentric cylindircal conductors wpeC.jpg (4201 bytes)   wpeA.jpg (2430 bytes)
5 Parallel pair of round conductors wpeD.jpg (2350 bytes) wpeB.jpg (2036 bytes) wpeC.jpg (1680 bytes)
6 Parallel conductors over conducting earth wpeE.jpg (2350 bytes) wpeF.jpg (3268 bytes)

r is skin depth at frequency of operation.  For DC value see 5 above and Note (4)

wpe10.jpg (2778 bytes)
7 Conductor near to conducting earth wich is not the return wpeF.jpg (2366 bytes) wpe11.jpg (2340 bytes)

For DC value see one above and Note 4.  For freq giving skin depth r use this equation.

wpe12.jpg (1787 bytes)
8 Parallel pair of rectangular conductors wpe5.jpg (3241 bytes) wpe13.jpg (4101 bytes)  
9 Parallel Pair of strip conductors(S>>B) wpe10.jpg (2225 bytes) wpe12.jpg (2174 bytes)  
10 Transmission line (C<<B>>S   wpe14.jpg (2104 bytes)  
11 Circular turn with circular section (r is wire radius, R is major radius   wpe15.jpg (2294 bytes) wpe13.jpg (2339 bytes)
12 Rectangular Turn with circular section   DCwpe16.jpg (4808 bytes)

ACwpe14.jpg (4862 bytes)

13 Circular turn of thin sheet   wpe17.jpg (2338 bytes)  
14 Toroidal solenoid of N turns in single layer   wpe18.jpg (1956 bytes)  
15(a) Long straight solenoid with single layer of N thin turns   wpe19.jpg (1783 bytes)  
15(b) Short solenoid with single layer of Nthin turns for b>2/3r   wpe1A.jpg (2238 bytes)  
16 Short solenoid of N rund turns in single layer . See ref 1  
17(a) Circular coil multi layer with rectanglular winding section . See ref 1  
17(b) Brooks Coil (gives maximum inductance for given length of wire) b=c 2a/c=3   wpe1B.jpg (1351 bytes)  
18 Circular coil flat (pancake)      
19 Thin conducting torus cut to produce Bz field      

Notes:

  1. Formulae based on non-magnetic conductors and space
  2. References in table are listed below
  3. Further information and arrangements are given in Ref. 6, p. 47-64
  4. Proximity of metal to conductors affects HF inductance but not DC
  5. DC inductance of bar due to its internal flux only 50 nH/m

References:

  1. Gover, F.W. "Inductance Calculations, Working Formulas and Tables" Pub. Dover
  2. Say, M.G. "Electrical Engineers reference Book", Pub. newnes.
  3. Smart, D.L. "Calculation of Forces on Ioffe Bars for MTSE II", MTSEE II Engineering Memo No. 4 pp. 2-4.
  4. Carter, G.W. "The Electromagnetic Field in its Engineergin Aspects". Pub. Longmans.
  5. Smythe, W.R. "Static and Dymamic Electricity". Pub. McGraw-Hill.
  6. Terman, F.E. "Radio Engineers Handbook". Pub. McGraw-Hill.
  7. Dwight, H.B. "mathematical Tables". Pub. Dover.
  8. Welsby, V.G. "Inductance Coils". Pub. Macdonald.