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!Ignotum/Formulae/Fiel

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Filename: !Ignotum/Formulae/Fiel
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File contents
# Physics > Field and Potential
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  45 3d 46 2f 51 0a 46 6f  72 20 61 6e 20 65 6c 65  |E=F/Q.For an ele|
00000030  63 74 72 69 63 61 6c 20  66 69 65 6c 64 3a 0a 45  |ctrical field:.E|
00000040  3d 66 69 65 6c 64 20 73  74 72 65 6e 67 74 68 0a  |=field strength.|
00000050  46 3d 66 6f 72 63 65 20  6f 6e 20 6f 62 6a 65 63  |F=force on objec|
00000060  74 20 69 6e 20 74 68 65  20 66 69 65 6c 64 0a 51  |t in the field.Q|
00000070  3d 63 68 61 72 67 65 20  6f 6e 20 6f 62 6a 65 63  |=charge on objec|
00000080  74 20 69 6e 20 74 68 65  20 66 69 65 6c 64 0a 0a  |t in the field..|
00000090  45 3d 56 2f 64 0a 46 6f  72 20 61 20 75 6e 69 66  |E=V/d.For a unif|
000000a0  6f 72 6d 20 65 6c 65 63  74 72 69 63 61 6c 20 66  |orm electrical f|
000000b0  69 65 6c 64 20 62 65 74  77 65 65 6e 0a 74 77 6f  |ield between.two|
000000c0  20 70 61 72 61 6c 6c 65  6c 20 70 6c 61 74 65 73  | parallel plates|
000000d0  3a 0a 45 3d 66 69 65 6c  64 20 73 74 72 65 6e 67  |:.E=field streng|
000000e0  74 68 0a 56 3d 70 6f 74  65 6e 74 69 61 6c 20 64  |th.V=potential d|
000000f0  69 66 66 65 72 65 6e 63  65 20 61 63 72 6f 73 73  |ifference across|
00000100  20 70 6c 61 74 65 73 0a  64 3d 64 69 73 74 61 6e  | plates.d=distan|
00000110  63 65 20 62 65 74 77 65  65 6e 20 70 6c 61 74 65  |ce between plate|
00000120  73 0a 45 3d 6f 2f 65 30  0a 46 6f 72 20 61 20 75  |s.E=o/e0.For a u|
00000130  6e 69 66 6f 72 6d 20 65  6c 65 63 74 72 69 63 61  |niform electrica|
00000140  6c 20 66 69 65 6c 64 20  62 65 74 77 65 65 6e 0a  |l field between.|
00000150  74 77 6f 20 70 61 72 61  6c 6c 65 6c 20 70 6c 61  |two parallel pla|
00000160  74 65 73 3a 0a 45 3d 66  69 65 6c 64 20 73 74 72  |tes:.E=field str|
00000170  65 6e 67 74 68 2c 20 6f  3d 63 68 61 72 67 65 20  |ength, o=charge |
00000180  64 65 6e 73 69 74 79 0a  65 30 3d 70 65 72 6d 69  |density.e0=permi|
00000190  74 74 69 76 69 74 79 20  6f 66 20 66 72 65 65 20  |ttivity of free |
000001a0  73 70 61 63 65 3a 0a 38  2e 38 35 d7 31 30 5e 2d  |space:.8.85.10^-|
000001b0  31 32 20 43 b2 2f 4e 6d  b2 0a 43 3d 65 30 65 72  |12 C./Nm..C=e0er|
000001c0  41 2f 64 0a 46 6f 72 20  61 20 70 61 72 61 6c 6c  |A/d.For a parall|
000001d0  65 6c 20 70 6c 61 74 65  20 63 61 70 61 63 69 74  |el plate capacit|
000001e0  6f 72 3a 0a 43 3d 63 61  70 61 63 69 74 61 6e 63  |or:.C=capacitanc|
000001f0  65 20 28 46 29 0a 65 30  3d 70 65 72 6d 69 74 74  |e (F).e0=permitt|
00000200  69 76 69 74 79 20 6f 66  20 66 72 65 65 20 73 70  |ivity of free sp|
00000210  61 63 65 0a 65 72 3d 72  65 6c 61 74 69 76 65 20  |ace.er=relative |
00000220  70 65 72 6d 69 74 74 69  76 69 74 79 0a 41 3d 70  |permittivity.A=p|
00000230  6c 61 74 65 20 61 72 65  61 2c 20 64 3d 64 69 73  |late area, d=dis|
00000240  74 61 6e 63 65 20 62 65  74 77 65 65 6e 20 70 6c  |tance between pl|
00000250  61 74 65 73 0a 46 3d 6b  51 71 2f 72 b2 0a 57 68  |ates.F=kQq/r..Wh|
00000260  65 72 65 3a 0a 46 3d 65  6c 65 63 74 72 6c 20 66  |ere:.F=electrl f|
00000270  6f 72 63 65 20 62 65 74  77 65 65 6e 20 32 20 63  |orce between 2 c|
00000280  68 61 72 67 65 64 20 6f  62 6a 65 63 74 73 0a 6b  |harged objects.k|
00000290  3d 66 6f 72 63 65 20 63  6f 6e 73 74 61 6e 74 3d  |=force constant=|
000002a0  38 2e 39 38 d7 31 30 5e  39 20 4e 6d b2 2f 43 b2  |8.98.10^9 Nm./C.|
000002b0  0a 51 20 61 6e 64 20 71  20 61 72 65 20 74 68 65  |.Q and q are the|
000002c0  20 74 77 6f 20 63 68 61  72 67 65 73 0a 72 3d 74  | two charges.r=t|
000002d0  68 65 20 64 69 73 74 61  6e 63 65 20 62 65 74 77  |he distance betw|
000002e0  65 65 6e 20 74 68 65 20  74 77 6f 20 63 68 61 72  |een the two char|
000002f0  67 65 73 0a 45 3d 6b 51  2f 72 b2 0a 57 68 65 72  |ges.E=kQ/r..Wher|
00000300  65 3a 0a 45 3d 65 6c 65  63 74 72 69 63 61 6c 20  |e:.E=electrical |
00000310  66 69 65 6c 64 20 73 74  72 65 6e 67 74 68 0a 6b  |field strength.k|
00000320  3d 66 6f 72 63 65 20 63  6f 6e 73 74 61 6e 74 3d  |=force constant=|
00000330  38 2e 39 38 d7 31 30 5e  39 20 4e 6d b2 2f 43 b2  |8.98.10^9 Nm./C.|
00000340  0a 51 3d 63 68 61 72 67  65 20 6f 6e 20 6f 62 6a  |.Q=charge on obj|
00000350  65 63 74 0a 72 3d 64 69  73 74 61 6e 63 65 20 74  |ect.r=distance t|
00000360  6f 20 6f 62 6a 65 63 74  0a 56 3d 6b 51 2f 72 0a  |o object.V=kQ/r.|
00000370  57 68 65 72 65 3a 0a 56  3d 65 6c 65 63 74 72 69  |Where:.V=electri|
00000380  63 20 70 6f 74 65 6e 74  69 61 6c 0a 6b 3d 66 6f  |c potential.k=fo|
00000390  72 63 65 20 63 6f 6e 73  74 61 6e 74 3d 38 2e 39  |rce constant=8.9|
000003a0  38 d7 31 30 5e 39 20 4e  6d b2 2f 43 b2 0a 51 3d  |8.10^9 Nm./C..Q=|
000003b0  63 68 61 72 67 65 20 6f  6e 20 6f 62 6a 65 63 74  |charge on object|
000003c0  0a 72 3d 64 69 73 74 61  6e 63 65 20 74 6f 20 6f  |.r=distance to o|
000003d0  62 6a 65 63 74 0a 67 3d  46 2f 6d 0a 57 68 65 72  |bject.g=F/m.Wher|
000003e0  65 3a 0a 67 3d 67 72 61  76 69 74 61 74 69 6f 6e  |e:.g=gravitation|
000003f0  61 6c 20 66 69 65 6c 64  20 73 74 72 65 6e 67 74  |al field strengt|
00000400  68 20 28 4e 2f 6b 67 29  0a 46 3d 66 6f 72 63 65  |h (N/kg).F=force|
00000410  20 6f 6e 20 6f 62 6a 65  63 74 20 28 4e 29 0a 6d  | on object (N).m|
00000420  3d 6d 61 73 73 20 6f 66  20 6f 62 6a 65 63 74 20  |=mass of object |
00000430  28 6b 67 29 0a 0a 46 3d  2d 47 4d 6d 2f 72 b2 0a  |(kg)..F=-GMm/r..|
00000440  57 68 65 72 65 3a 0a 46  3d 67 72 61 76 69 74 61  |Where:.F=gravita|
00000450  74 69 6f 6e 61 6c 20 66  6f 72 63 65 20 62 65 74  |tional force bet|
00000460  77 65 65 6e 20 74 77 6f  20 6f 62 6a 65 63 74 73  |ween two objects|
00000470  0a 47 3d 67 72 61 76 20  66 6f 72 63 65 20 63 6f  |.G=grav force co|
00000480  6e 73 74 61 6e 74 3d 36  2e 36 37 d7 31 30 5e 2d  |nstant=6.67.10^-|
00000490  31 31 20 4e 6d b2 2f 6b  67 b2 0a 4d 20 61 6e 64  |11 Nm./kg..M and|
000004a0  20 6d 20 61 72 65 20 74  68 65 20 74 77 6f 20 6d  | m are the two m|
000004b0  61 73 73 65 73 0a 72 3d  64 69 73 74 61 6e 63 65  |asses.r=distance|
000004c0  20 62 65 74 77 65 65 6e  20 74 68 65 20 74 77 6f  | between the two|
000004d0  20 6f 62 6a 65 63 74 73  0a 67 3d 2d 47 4d 2f 72  | objects.g=-GM/r|
000004e0  b2 0a 57 68 65 72 65 3a  0a 67 3d 67 72 61 76 69  |..Where:.g=gravi|
000004f0  74 61 74 69 6f 6e 61 6c  20 66 69 65 6c 64 20 73  |tational field s|
00000500  74 72 65 6e 67 74 68 20  28 4e 2f 6b 67 29 0a 47  |trength (N/kg).G|
00000510  3d 67 72 61 76 20 66 6f  72 63 65 20 63 6f 6e 73  |=grav force cons|
00000520  74 61 6e 74 3d 36 2e 36  37 d7 31 30 5e 2d 31 31  |tant=6.67.10^-11|
00000530  20 4e 6d b2 2f 6b 67 b2  0a 4d 3d 6d 61 73 73 20  | Nm./kg..M=mass |
00000540  6f 66 20 6f 62 6a 65 63  74 0a 72 3d 64 69 73 74  |of object.r=dist|
00000550  61 6e 63 65 20 74 6f 20  6f 62 6a 65 63 74 0a 56  |ance to object.V|
00000560  3d 2d 47 4d 2f 72 0a 57  68 65 72 65 3a 0a 56 3d  |=-GM/r.Where:.V=|
00000570  67 72 61 76 69 74 61 74  69 6f 6e 61 6c 20 70 6f  |gravitational po|
00000580  74 65 6e 74 69 61 6c 0a  47 3d 67 72 61 76 20 66  |tential.G=grav f|
00000590  6f 72 63 65 20 63 6f 6e  73 74 61 6e 74 3d 36 2e  |orce constant=6.|
000005a0  36 37 d7 31 30 5e 2d 31  31 20 4e 6d b2 2f 6b 67  |67.10^-11 Nm./kg|
000005b0  b2 0a 4d 3d 6d 61 73 73  20 6f 66 20 6f 62 6a 65  |..M=mass of obje|
000005c0  63 74 0a 72 3d 64 69 73  74 61 6e 63 65 20 74 6f  |ct.r=distance to|
000005d0  20 6f 62 6a 65 63 74 0a  56 3d 67 68 0a 57 68 65  | object.V=gh.Whe|
000005e0  72 65 3a 0a 56 3d 67 72  61 76 69 74 61 74 69 6f  |re:.V=gravitatio|
000005f0  6e 61 6c 20 70 6f 74 65  6e 74 69 61 6c 20 69 6e  |nal potential in|
00000600  20 61 20 75 6e 69 66 6f  72 6d 0a 66 69 65 6c 64  | a uniform.field|
00000610  0a 67 3d 67 72 61 76 69  74 61 74 69 6f 6e 61 6c  |.g=gravitational|
00000620  20 66 69 65 6c 64 20 73  74 72 65 6e 67 74 68 0a  | field strength.|
00000630  68 3d 68 65 69 67 68 74  0a 0a 0a 0a 0a 0a 0a 0a  |h=height........|
00000640  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
00000680  0a 0a 0a 0a 0a 0a 0a                              |.......|
00000687