Home » Archimedes archive » Acorn User » AU 1997-01 B.adf » Regulars » StarInfo/Allen/!Ignotum/Formulae/Formulae/Fiel

StarInfo/Allen/!Ignotum/Formulae/Formulae/Fiel

This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.

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Filename: StarInfo/Allen/!Ignotum/Formulae/Formulae/Fiel
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File contents
# Physics > Field and Potential

# New entries should take the form of:
#     Formula
#     Note 1
#     Note 2
#     Note 3
#     Note 4
#     Note 5
#     Formula
#     Note 1
#     And so on...
# To fit snugly into the window, each line should be no longer
# than 42 characters.
# There is a limit of 25 formulas per topic.

# Any notes should be made here, at the beginning and should
# be preceeded by a hash (#).

E=F/Q
For an electrical field:
E=field strength
F=force on object in the field
Q=charge on object in the field

E=V/d
For a uniform electrical field between
two parallel plates:
E=field strength
V=potential difference across plates
d=distance between plates
E=o/e0
For a uniform electrical field between
two parallel plates:
E=field strength, o=charge density
e0=permittivity of free space:
8.85�10^-12 C�/Nm�
C=e0erA/d
For a parallel plate capacitor:
C=capacitance (F)
e0=permittivity of free space
er=relative permittivity
A=plate area, d=distance between plates
F=kQq/r�
Where:
F=electrl force between 2 charged objects
k=force constant=8.98�10^9 Nm�/C�
Q and q are the two charges
r=the distance between the two charges
E=kQ/r�
Where:
E=electrical field strength
k=force constant=8.98�10^9 Nm�/C�
Q=charge on object
r=distance to object
V=kQ/r
Where:
V=electric potential
k=force constant=8.98�10^9 Nm�/C�
Q=charge on object
r=distance to object
g=F/m
Where:
g=gravitational field strength (N/kg)
F=force on object (N)
m=mass of object (kg)

F=-GMm/r�
Where:
F=gravitational force between two objects
G=grav force constant=6.67�10^-11 Nm�/kg�
M and m are the two masses
r=distance between the two objects
g=-GM/r�
Where:
g=gravitational field strength (N/kg)
G=grav force constant=6.67�10^-11 Nm�/kg�
M=mass of object
r=distance to object
V=-GM/r
Where:
V=gravitational potential
G=grav force constant=6.67�10^-11 Nm�/kg�
M=mass of object
r=distance to object
V=gh
Where:
V=gravitational potential in a uniform
field
g=gravitational field strength
h=height














































































00000000  23 20 50 68 79 73 69 63  73 20 3e 20 46 69 65 6c  |# Physics > Fiel|
00000010  64 20 61 6e 64 20 50 6f  74 65 6e 74 69 61 6c 0a  |d and Potential.|
00000020  0a 23 20 4e 65 77 20 65  6e 74 72 69 65 73 20 73  |.# New entries s|
00000030  68 6f 75 6c 64 20 74 61  6b 65 20 74 68 65 20 66  |hould take the f|
00000040  6f 72 6d 20 6f 66 3a 0a  23 20 20 20 20 20 46 6f  |orm of:.#     Fo|
00000050  72 6d 75 6c 61 0a 23 20  20 20 20 20 4e 6f 74 65  |rmula.#     Note|
00000060  20 31 0a 23 20 20 20 20  20 4e 6f 74 65 20 32 0a  | 1.#     Note 2.|
00000070  23 20 20 20 20 20 4e 6f  74 65 20 33 0a 23 20 20  |#     Note 3.#  |
00000080  20 20 20 4e 6f 74 65 20  34 0a 23 20 20 20 20 20  |   Note 4.#     |
00000090  4e 6f 74 65 20 35 0a 23  20 20 20 20 20 46 6f 72  |Note 5.#     For|
000000a0  6d 75 6c 61 0a 23 20 20  20 20 20 4e 6f 74 65 20  |mula.#     Note |
000000b0  31 0a 23 20 20 20 20 20  41 6e 64 20 73 6f 20 6f  |1.#     And so o|
000000c0  6e 2e 2e 2e 0a 23 20 54  6f 20 66 69 74 20 73 6e  |n....# To fit sn|
000000d0  75 67 6c 79 20 69 6e 74  6f 20 74 68 65 20 77 69  |ugly into the wi|
000000e0  6e 64 6f 77 2c 20 65 61  63 68 20 6c 69 6e 65 20  |ndow, each line |
000000f0  73 68 6f 75 6c 64 20 62  65 20 6e 6f 20 6c 6f 6e  |should be no lon|
00000100  67 65 72 0a 23 20 74 68  61 6e 20 34 32 20 63 68  |ger.# than 42 ch|
00000110  61 72 61 63 74 65 72 73  2e 0a 23 20 54 68 65 72  |aracters..# Ther|
00000120  65 20 69 73 20 61 20 6c  69 6d 69 74 20 6f 66 20  |e is a limit of |
00000130  32 35 20 66 6f 72 6d 75  6c 61 73 20 70 65 72 20  |25 formulas per |
00000140  74 6f 70 69 63 2e 0a 0a  23 20 41 6e 79 20 6e 6f  |topic...# Any no|
00000150  74 65 73 20 73 68 6f 75  6c 64 20 62 65 20 6d 61  |tes should be ma|
00000160  64 65 20 68 65 72 65 2c  20 61 74 20 74 68 65 20  |de here, at the |
00000170  62 65 67 69 6e 6e 69 6e  67 20 61 6e 64 20 73 68  |beginning and sh|
00000180  6f 75 6c 64 0a 23 20 62  65 20 70 72 65 63 65 65  |ould.# be precee|
00000190  64 65 64 20 62 79 20 61  20 68 61 73 68 20 28 23  |ded by a hash (#|
000001a0  29 2e 0a 0a 45 3d 46 2f  51 0a 46 6f 72 20 61 6e  |)...E=F/Q.For an|
000001b0  20 65 6c 65 63 74 72 69  63 61 6c 20 66 69 65 6c  | electrical fiel|
000001c0  64 3a 0a 45 3d 66 69 65  6c 64 20 73 74 72 65 6e  |d:.E=field stren|
000001d0  67 74 68 0a 46 3d 66 6f  72 63 65 20 6f 6e 20 6f  |gth.F=force on o|
000001e0  62 6a 65 63 74 20 69 6e  20 74 68 65 20 66 69 65  |bject in the fie|
000001f0  6c 64 0a 51 3d 63 68 61  72 67 65 20 6f 6e 20 6f  |ld.Q=charge on o|
00000200  62 6a 65 63 74 20 69 6e  20 74 68 65 20 66 69 65  |bject in the fie|
00000210  6c 64 0a 0a 45 3d 56 2f  64 0a 46 6f 72 20 61 20  |ld..E=V/d.For a |
00000220  75 6e 69 66 6f 72 6d 20  65 6c 65 63 74 72 69 63  |uniform electric|
00000230  61 6c 20 66 69 65 6c 64  20 62 65 74 77 65 65 6e  |al field between|
00000240  0a 74 77 6f 20 70 61 72  61 6c 6c 65 6c 20 70 6c  |.two parallel pl|
00000250  61 74 65 73 3a 0a 45 3d  66 69 65 6c 64 20 73 74  |ates:.E=field st|
00000260  72 65 6e 67 74 68 0a 56  3d 70 6f 74 65 6e 74 69  |rength.V=potenti|
00000270  61 6c 20 64 69 66 66 65  72 65 6e 63 65 20 61 63  |al difference ac|
00000280  72 6f 73 73 20 70 6c 61  74 65 73 0a 64 3d 64 69  |ross plates.d=di|
00000290  73 74 61 6e 63 65 20 62  65 74 77 65 65 6e 20 70  |stance between p|
000002a0  6c 61 74 65 73 0a 45 3d  6f 2f 65 30 0a 46 6f 72  |lates.E=o/e0.For|
000002b0  20 61 20 75 6e 69 66 6f  72 6d 20 65 6c 65 63 74  | a uniform elect|
000002c0  72 69 63 61 6c 20 66 69  65 6c 64 20 62 65 74 77  |rical field betw|
000002d0  65 65 6e 0a 74 77 6f 20  70 61 72 61 6c 6c 65 6c  |een.two parallel|
000002e0  20 70 6c 61 74 65 73 3a  0a 45 3d 66 69 65 6c 64  | plates:.E=field|
000002f0  20 73 74 72 65 6e 67 74  68 2c 20 6f 3d 63 68 61  | strength, o=cha|
00000300  72 67 65 20 64 65 6e 73  69 74 79 0a 65 30 3d 70  |rge density.e0=p|
00000310  65 72 6d 69 74 74 69 76  69 74 79 20 6f 66 20 66  |ermittivity of f|
00000320  72 65 65 20 73 70 61 63  65 3a 0a 38 2e 38 35 d7  |ree space:.8.85.|
00000330  31 30 5e 2d 31 32 20 43  b2 2f 4e 6d b2 0a 43 3d  |10^-12 C./Nm..C=|
00000340  65 30 65 72 41 2f 64 0a  46 6f 72 20 61 20 70 61  |e0erA/d.For a pa|
00000350  72 61 6c 6c 65 6c 20 70  6c 61 74 65 20 63 61 70  |rallel plate cap|
00000360  61 63 69 74 6f 72 3a 0a  43 3d 63 61 70 61 63 69  |acitor:.C=capaci|
00000370  74 61 6e 63 65 20 28 46  29 0a 65 30 3d 70 65 72  |tance (F).e0=per|
00000380  6d 69 74 74 69 76 69 74  79 20 6f 66 20 66 72 65  |mittivity of fre|
00000390  65 20 73 70 61 63 65 0a  65 72 3d 72 65 6c 61 74  |e space.er=relat|
000003a0  69 76 65 20 70 65 72 6d  69 74 74 69 76 69 74 79  |ive permittivity|
000003b0  0a 41 3d 70 6c 61 74 65  20 61 72 65 61 2c 20 64  |.A=plate area, d|
000003c0  3d 64 69 73 74 61 6e 63  65 20 62 65 74 77 65 65  |=distance betwee|
000003d0  6e 20 70 6c 61 74 65 73  0a 46 3d 6b 51 71 2f 72  |n plates.F=kQq/r|
000003e0  b2 0a 57 68 65 72 65 3a  0a 46 3d 65 6c 65 63 74  |..Where:.F=elect|
000003f0  72 6c 20 66 6f 72 63 65  20 62 65 74 77 65 65 6e  |rl force between|
00000400  20 32 20 63 68 61 72 67  65 64 20 6f 62 6a 65 63  | 2 charged objec|
00000410  74 73 0a 6b 3d 66 6f 72  63 65 20 63 6f 6e 73 74  |ts.k=force const|
00000420  61 6e 74 3d 38 2e 39 38  d7 31 30 5e 39 20 4e 6d  |ant=8.98.10^9 Nm|
00000430  b2 2f 43 b2 0a 51 20 61  6e 64 20 71 20 61 72 65  |./C..Q and q are|
00000440  20 74 68 65 20 74 77 6f  20 63 68 61 72 67 65 73  | the two charges|
00000450  0a 72 3d 74 68 65 20 64  69 73 74 61 6e 63 65 20  |.r=the distance |
00000460  62 65 74 77 65 65 6e 20  74 68 65 20 74 77 6f 20  |between the two |
00000470  63 68 61 72 67 65 73 0a  45 3d 6b 51 2f 72 b2 0a  |charges.E=kQ/r..|
00000480  57 68 65 72 65 3a 0a 45  3d 65 6c 65 63 74 72 69  |Where:.E=electri|
00000490  63 61 6c 20 66 69 65 6c  64 20 73 74 72 65 6e 67  |cal field streng|
000004a0  74 68 0a 6b 3d 66 6f 72  63 65 20 63 6f 6e 73 74  |th.k=force const|
000004b0  61 6e 74 3d 38 2e 39 38  d7 31 30 5e 39 20 4e 6d  |ant=8.98.10^9 Nm|
000004c0  b2 2f 43 b2 0a 51 3d 63  68 61 72 67 65 20 6f 6e  |./C..Q=charge on|
000004d0  20 6f 62 6a 65 63 74 0a  72 3d 64 69 73 74 61 6e  | object.r=distan|
000004e0  63 65 20 74 6f 20 6f 62  6a 65 63 74 0a 56 3d 6b  |ce to object.V=k|
000004f0  51 2f 72 0a 57 68 65 72  65 3a 0a 56 3d 65 6c 65  |Q/r.Where:.V=ele|
00000500  63 74 72 69 63 20 70 6f  74 65 6e 74 69 61 6c 0a  |ctric potential.|
00000510  6b 3d 66 6f 72 63 65 20  63 6f 6e 73 74 61 6e 74  |k=force constant|
00000520  3d 38 2e 39 38 d7 31 30  5e 39 20 4e 6d b2 2f 43  |=8.98.10^9 Nm./C|
00000530  b2 0a 51 3d 63 68 61 72  67 65 20 6f 6e 20 6f 62  |..Q=charge on ob|
00000540  6a 65 63 74 0a 72 3d 64  69 73 74 61 6e 63 65 20  |ject.r=distance |
00000550  74 6f 20 6f 62 6a 65 63  74 0a 67 3d 46 2f 6d 0a  |to object.g=F/m.|
00000560  57 68 65 72 65 3a 0a 67  3d 67 72 61 76 69 74 61  |Where:.g=gravita|
00000570  74 69 6f 6e 61 6c 20 66  69 65 6c 64 20 73 74 72  |tional field str|
00000580  65 6e 67 74 68 20 28 4e  2f 6b 67 29 0a 46 3d 66  |ength (N/kg).F=f|
00000590  6f 72 63 65 20 6f 6e 20  6f 62 6a 65 63 74 20 28  |orce on object (|
000005a0  4e 29 0a 6d 3d 6d 61 73  73 20 6f 66 20 6f 62 6a  |N).m=mass of obj|
000005b0  65 63 74 20 28 6b 67 29  0a 0a 46 3d 2d 47 4d 6d  |ect (kg)..F=-GMm|
000005c0  2f 72 b2 0a 57 68 65 72  65 3a 0a 46 3d 67 72 61  |/r..Where:.F=gra|
000005d0  76 69 74 61 74 69 6f 6e  61 6c 20 66 6f 72 63 65  |vitational force|
000005e0  20 62 65 74 77 65 65 6e  20 74 77 6f 20 6f 62 6a  | between two obj|
000005f0  65 63 74 73 0a 47 3d 67  72 61 76 20 66 6f 72 63  |ects.G=grav forc|
00000600  65 20 63 6f 6e 73 74 61  6e 74 3d 36 2e 36 37 d7  |e constant=6.67.|
00000610  31 30 5e 2d 31 31 20 4e  6d b2 2f 6b 67 b2 0a 4d  |10^-11 Nm./kg..M|
00000620  20 61 6e 64 20 6d 20 61  72 65 20 74 68 65 20 74  | and m are the t|
00000630  77 6f 20 6d 61 73 73 65  73 0a 72 3d 64 69 73 74  |wo masses.r=dist|
00000640  61 6e 63 65 20 62 65 74  77 65 65 6e 20 74 68 65  |ance between the|
00000650  20 74 77 6f 20 6f 62 6a  65 63 74 73 0a 67 3d 2d  | two objects.g=-|
00000660  47 4d 2f 72 b2 0a 57 68  65 72 65 3a 0a 67 3d 67  |GM/r..Where:.g=g|
00000670  72 61 76 69 74 61 74 69  6f 6e 61 6c 20 66 69 65  |ravitational fie|
00000680  6c 64 20 73 74 72 65 6e  67 74 68 20 28 4e 2f 6b  |ld strength (N/k|
00000690  67 29 0a 47 3d 67 72 61  76 20 66 6f 72 63 65 20  |g).G=grav force |
000006a0  63 6f 6e 73 74 61 6e 74  3d 36 2e 36 37 d7 31 30  |constant=6.67.10|
000006b0  5e 2d 31 31 20 4e 6d b2  2f 6b 67 b2 0a 4d 3d 6d  |^-11 Nm./kg..M=m|
000006c0  61 73 73 20 6f 66 20 6f  62 6a 65 63 74 0a 72 3d  |ass of object.r=|
000006d0  64 69 73 74 61 6e 63 65  20 74 6f 20 6f 62 6a 65  |distance to obje|
000006e0  63 74 0a 56 3d 2d 47 4d  2f 72 0a 57 68 65 72 65  |ct.V=-GM/r.Where|
000006f0  3a 0a 56 3d 67 72 61 76  69 74 61 74 69 6f 6e 61  |:.V=gravitationa|
00000700  6c 20 70 6f 74 65 6e 74  69 61 6c 0a 47 3d 67 72  |l potential.G=gr|
00000710  61 76 20 66 6f 72 63 65  20 63 6f 6e 73 74 61 6e  |av force constan|
00000720  74 3d 36 2e 36 37 d7 31  30 5e 2d 31 31 20 4e 6d  |t=6.67.10^-11 Nm|
00000730  b2 2f 6b 67 b2 0a 4d 3d  6d 61 73 73 20 6f 66 20  |./kg..M=mass of |
00000740  6f 62 6a 65 63 74 0a 72  3d 64 69 73 74 61 6e 63  |object.r=distanc|
00000750  65 20 74 6f 20 6f 62 6a  65 63 74 0a 56 3d 67 68  |e to object.V=gh|
00000760  0a 57 68 65 72 65 3a 0a  56 3d 67 72 61 76 69 74  |.Where:.V=gravit|
00000770  61 74 69 6f 6e 61 6c 20  70 6f 74 65 6e 74 69 61  |ational potentia|
00000780  6c 20 69 6e 20 61 20 75  6e 69 66 6f 72 6d 0a 66  |l in a uniform.f|
00000790  69 65 6c 64 0a 67 3d 67  72 61 76 69 74 61 74 69  |ield.g=gravitati|
000007a0  6f 6e 61 6c 20 66 69 65  6c 64 20 73 74 72 65 6e  |onal field stren|
000007b0  67 74 68 0a 68 3d 68 65  69 67 68 74 0a 0a 0a 0a  |gth.h=height....|
000007c0  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
00000800  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a                 |...........|
0000080b