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!Ignotum/Formulae/Elec

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: !Ignotum/Formulae/Elec
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# Physics > Electricity
V=IR
Where:
V=voltage (V)
I=current (A)
R=resistance (Ohms)

I=AvnQ
Where:
I=current, A=area
v=velocity of charged carriers
n=charged carrier density
Q=charge
R=rl/A
Where:
R=resistance (Ohms)
r=resistivity for material
l=length of material
A=cross sectional area of material
R=R1+R2+R3...
Where:
R=total resistance
R1, R2, R3... are resistors in series


1/R=(1/R1)+(1/R2)+(1/R3)...
Where:
R=total resistance
R1, R2, R3... are resistors in parallel


Q=It
Where:
Q=charge (C)
I=current (A)
t=time (s)

V=E/Q
Where:
V=voltage (V)
E=energy (J)
Q=charge (C)

E=ItV
Where:
E=electrical energy (J)
I=current (A)
t=time (s)
V=voltage (V)
P=E/t
Where:
P=power (W)
E=energy (J)
t=time (s)

P=VI
Where:
P=power (W)
V=voltage (V)
I=current (A)

C=Q/V
Where:
C=capacitance of a capacitor (F)
Q=charge (C)
V=voltage (V)

E=�QV
Where:
E=energy stored in a capacitor (J)
Q=charge (C)
V=voltage (V)

1/C=(1/C1)+(1/C2)+(1/C3)...
Where:
C=total capacitance (F)
C1, C2, C3... are capacitors in series


C=C1+C2+C3...
Where:
C=total capacitance (F)
C1, C2, C3... are capacitors in parallel


Q=Q0e^(-t/RC)
In the discharge of a capacitor:
Q=charge (C)
Q0=initial charge
t=time (s), e=2.718...
RC=resistance�capacitance=time constant
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






















































00000000  23 20 50 68 79 73 69 63  73 20 3e 20 45 6c 65 63  |# Physics > Elec|
00000010  74 72 69 63 69 74 79 0a  56 3d 49 52 0a 57 68 65  |tricity.V=IR.Whe|
00000020  72 65 3a 0a 56 3d 76 6f  6c 74 61 67 65 20 28 56  |re:.V=voltage (V|
00000030  29 0a 49 3d 63 75 72 72  65 6e 74 20 28 41 29 0a  |).I=current (A).|
00000040  52 3d 72 65 73 69 73 74  61 6e 63 65 20 28 4f 68  |R=resistance (Oh|
00000050  6d 73 29 0a 0a 49 3d 41  76 6e 51 0a 57 68 65 72  |ms)..I=AvnQ.Wher|
00000060  65 3a 0a 49 3d 63 75 72  72 65 6e 74 2c 20 41 3d  |e:.I=current, A=|
00000070  61 72 65 61 0a 76 3d 76  65 6c 6f 63 69 74 79 20  |area.v=velocity |
00000080  6f 66 20 63 68 61 72 67  65 64 20 63 61 72 72 69  |of charged carri|
00000090  65 72 73 0a 6e 3d 63 68  61 72 67 65 64 20 63 61  |ers.n=charged ca|
000000a0  72 72 69 65 72 20 64 65  6e 73 69 74 79 0a 51 3d  |rrier density.Q=|
000000b0  63 68 61 72 67 65 0a 52  3d 72 6c 2f 41 0a 57 68  |charge.R=rl/A.Wh|
000000c0  65 72 65 3a 0a 52 3d 72  65 73 69 73 74 61 6e 63  |ere:.R=resistanc|
000000d0  65 20 28 4f 68 6d 73 29  0a 72 3d 72 65 73 69 73  |e (Ohms).r=resis|
000000e0  74 69 76 69 74 79 20 66  6f 72 20 6d 61 74 65 72  |tivity for mater|
000000f0  69 61 6c 0a 6c 3d 6c 65  6e 67 74 68 20 6f 66 20  |ial.l=length of |
00000100  6d 61 74 65 72 69 61 6c  0a 41 3d 63 72 6f 73 73  |material.A=cross|
00000110  20 73 65 63 74 69 6f 6e  61 6c 20 61 72 65 61 20  | sectional area |
00000120  6f 66 20 6d 61 74 65 72  69 61 6c 0a 52 3d 52 31  |of material.R=R1|
00000130  2b 52 32 2b 52 33 2e 2e  2e 0a 57 68 65 72 65 3a  |+R2+R3....Where:|
00000140  0a 52 3d 74 6f 74 61 6c  20 72 65 73 69 73 74 61  |.R=total resista|
00000150  6e 63 65 0a 52 31 2c 20  52 32 2c 20 52 33 2e 2e  |nce.R1, R2, R3..|
00000160  2e 20 61 72 65 20 72 65  73 69 73 74 6f 72 73 20  |. are resistors |
00000170  69 6e 20 73 65 72 69 65  73 0a 0a 0a 31 2f 52 3d  |in series...1/R=|
00000180  28 31 2f 52 31 29 2b 28  31 2f 52 32 29 2b 28 31  |(1/R1)+(1/R2)+(1|
00000190  2f 52 33 29 2e 2e 2e 0a  57 68 65 72 65 3a 0a 52  |/R3)....Where:.R|
000001a0  3d 74 6f 74 61 6c 20 72  65 73 69 73 74 61 6e 63  |=total resistanc|
000001b0  65 0a 52 31 2c 20 52 32  2c 20 52 33 2e 2e 2e 20  |e.R1, R2, R3... |
000001c0  61 72 65 20 72 65 73 69  73 74 6f 72 73 20 69 6e  |are resistors in|
000001d0  20 70 61 72 61 6c 6c 65  6c 0a 0a 0a 51 3d 49 74  | parallel...Q=It|
000001e0  0a 57 68 65 72 65 3a 0a  51 3d 63 68 61 72 67 65  |.Where:.Q=charge|
000001f0  20 28 43 29 0a 49 3d 63  75 72 72 65 6e 74 20 28  | (C).I=current (|
00000200  41 29 0a 74 3d 74 69 6d  65 20 28 73 29 0a 0a 56  |A).t=time (s)..V|
00000210  3d 45 2f 51 0a 57 68 65  72 65 3a 0a 56 3d 76 6f  |=E/Q.Where:.V=vo|
00000220  6c 74 61 67 65 20 28 56  29 0a 45 3d 65 6e 65 72  |ltage (V).E=ener|
00000230  67 79 20 28 4a 29 0a 51  3d 63 68 61 72 67 65 20  |gy (J).Q=charge |
00000240  28 43 29 0a 0a 45 3d 49  74 56 0a 57 68 65 72 65  |(C)..E=ItV.Where|
00000250  3a 0a 45 3d 65 6c 65 63  74 72 69 63 61 6c 20 65  |:.E=electrical e|
00000260  6e 65 72 67 79 20 28 4a  29 0a 49 3d 63 75 72 72  |nergy (J).I=curr|
00000270  65 6e 74 20 28 41 29 0a  74 3d 74 69 6d 65 20 28  |ent (A).t=time (|
00000280  73 29 0a 56 3d 76 6f 6c  74 61 67 65 20 28 56 29  |s).V=voltage (V)|
00000290  0a 50 3d 45 2f 74 0a 57  68 65 72 65 3a 0a 50 3d  |.P=E/t.Where:.P=|
000002a0  70 6f 77 65 72 20 28 57  29 0a 45 3d 65 6e 65 72  |power (W).E=ener|
000002b0  67 79 20 28 4a 29 0a 74  3d 74 69 6d 65 20 28 73  |gy (J).t=time (s|
000002c0  29 0a 0a 50 3d 56 49 0a  57 68 65 72 65 3a 0a 50  |)..P=VI.Where:.P|
000002d0  3d 70 6f 77 65 72 20 28  57 29 0a 56 3d 76 6f 6c  |=power (W).V=vol|
000002e0  74 61 67 65 20 28 56 29  0a 49 3d 63 75 72 72 65  |tage (V).I=curre|
000002f0  6e 74 20 28 41 29 0a 0a  43 3d 51 2f 56 0a 57 68  |nt (A)..C=Q/V.Wh|
00000300  65 72 65 3a 0a 43 3d 63  61 70 61 63 69 74 61 6e  |ere:.C=capacitan|
00000310  63 65 20 6f 66 20 61 20  63 61 70 61 63 69 74 6f  |ce of a capacito|
00000320  72 20 28 46 29 0a 51 3d  63 68 61 72 67 65 20 28  |r (F).Q=charge (|
00000330  43 29 0a 56 3d 76 6f 6c  74 61 67 65 20 28 56 29  |C).V=voltage (V)|
00000340  0a 0a 45 3d bd 51 56 0a  57 68 65 72 65 3a 0a 45  |..E=.QV.Where:.E|
00000350  3d 65 6e 65 72 67 79 20  73 74 6f 72 65 64 20 69  |=energy stored i|
00000360  6e 20 61 20 63 61 70 61  63 69 74 6f 72 20 28 4a  |n a capacitor (J|
00000370  29 0a 51 3d 63 68 61 72  67 65 20 28 43 29 0a 56  |).Q=charge (C).V|
00000380  3d 76 6f 6c 74 61 67 65  20 28 56 29 0a 0a 31 2f  |=voltage (V)..1/|
00000390  43 3d 28 31 2f 43 31 29  2b 28 31 2f 43 32 29 2b  |C=(1/C1)+(1/C2)+|
000003a0  28 31 2f 43 33 29 2e 2e  2e 0a 57 68 65 72 65 3a  |(1/C3)....Where:|
000003b0  0a 43 3d 74 6f 74 61 6c  20 63 61 70 61 63 69 74  |.C=total capacit|
000003c0  61 6e 63 65 20 28 46 29  0a 43 31 2c 20 43 32 2c  |ance (F).C1, C2,|
000003d0  20 43 33 2e 2e 2e 20 61  72 65 20 63 61 70 61 63  | C3... are capac|
000003e0  69 74 6f 72 73 20 69 6e  20 73 65 72 69 65 73 0a  |itors in series.|
000003f0  0a 0a 43 3d 43 31 2b 43  32 2b 43 33 2e 2e 2e 0a  |..C=C1+C2+C3....|
00000400  57 68 65 72 65 3a 0a 43  3d 74 6f 74 61 6c 20 63  |Where:.C=total c|
00000410  61 70 61 63 69 74 61 6e  63 65 20 28 46 29 0a 43  |apacitance (F).C|
00000420  31 2c 20 43 32 2c 20 43  33 2e 2e 2e 20 61 72 65  |1, C2, C3... are|
00000430  20 63 61 70 61 63 69 74  6f 72 73 20 69 6e 20 70  | capacitors in p|
00000440  61 72 61 6c 6c 65 6c 0a  0a 0a 51 3d 51 30 65 5e  |arallel...Q=Q0e^|
00000450  28 2d 74 2f 52 43 29 0a  49 6e 20 74 68 65 20 64  |(-t/RC).In the d|
00000460  69 73 63 68 61 72 67 65  20 6f 66 20 61 20 63 61  |ischarge of a ca|
00000470  70 61 63 69 74 6f 72 3a  0a 51 3d 63 68 61 72 67  |pacitor:.Q=charg|
00000480  65 20 28 43 29 0a 51 30  3d 69 6e 69 74 69 61 6c  |e (C).Q0=initial|
00000490  20 63 68 61 72 67 65 0a  74 3d 74 69 6d 65 20 28  | charge.t=time (|
000004a0  73 29 2c 20 65 3d 32 2e  37 31 38 2e 2e 2e 0a 52  |s), e=2.718....R|
000004b0  43 3d 72 65 73 69 73 74  61 6e 63 65 d7 63 61 70  |C=resistance.cap|
000004c0  61 63 69 74 61 6e 63 65  3d 74 69 6d 65 20 63 6f  |acitance=time co|
000004d0  6e 73 74 61 6e 74 0a 43  3d 65 30 65 72 41 2f 64  |nstant.C=e0erA/d|
000004e0  0a 46 6f 72 20 61 20 70  61 72 61 6c 6c 65 6c 20  |.For a parallel |
000004f0  70 6c 61 74 65 20 63 61  70 61 63 69 74 6f 72 3a  |plate capacitor:|
00000500  0a 43 3d 63 61 70 61 63  69 74 61 6e 63 65 20 28  |.C=capacitance (|
00000510  46 29 0a 65 30 3d 70 65  72 6d 69 74 74 69 76 69  |F).e0=permittivi|
00000520  74 79 20 6f 66 20 66 72  65 65 20 73 70 61 63 65  |ty of free space|
00000530  0a 65 72 3d 72 65 6c 61  74 69 76 65 20 70 65 72  |.er=relative per|
00000540  6d 69 74 74 69 76 69 74  79 0a 41 3d 70 6c 61 74  |mittivity.A=plat|
00000550  65 20 61 72 65 61 2c 20  64 3d 64 69 73 74 61 6e  |e area, d=distan|
00000560  63 65 20 62 65 74 77 65  65 6e 20 70 6c 61 74 65  |ce between plate|
00000570  73 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |s...............|
00000580  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
000005a0  0a 0a 0a 0a 0a 0a 0a 0a                           |........|
000005a8