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

StarInfo/Allen/!Ignotum/Formulae/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.

Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.

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# Physics > Electricity

# 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 (#).

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  0a 23 20 4e 65 77 20 65  |tricity..# New e|
00000020  6e 74 72 69 65 73 20 73  68 6f 75 6c 64 20 74 61  |ntries should ta|
00000030  6b 65 20 74 68 65 20 66  6f 72 6d 20 6f 66 3a 0a  |ke the form of:.|
00000040  23 20 20 20 20 20 46 6f  72 6d 75 6c 61 0a 23 20  |#     Formula.# |
00000050  20 20 20 20 4e 6f 74 65  20 31 0a 23 20 20 20 20  |    Note 1.#    |
00000060  20 4e 6f 74 65 20 32 0a  23 20 20 20 20 20 4e 6f  | Note 2.#     No|
00000070  74 65 20 33 0a 23 20 20  20 20 20 4e 6f 74 65 20  |te 3.#     Note |
00000080  34 0a 23 20 20 20 20 20  4e 6f 74 65 20 35 0a 23  |4.#     Note 5.#|
00000090  20 20 20 20 20 46 6f 72  6d 75 6c 61 0a 23 20 20  |     Formula.#  |
000000a0  20 20 20 4e 6f 74 65 20  31 0a 23 20 20 20 20 20  |   Note 1.#     |
000000b0  41 6e 64 20 73 6f 20 6f  6e 2e 2e 2e 0a 23 20 54  |And so on....# T|
000000c0  6f 20 66 69 74 20 73 6e  75 67 6c 79 20 69 6e 74  |o fit snugly int|
000000d0  6f 20 74 68 65 20 77 69  6e 64 6f 77 2c 20 65 61  |o the window, ea|
000000e0  63 68 20 6c 69 6e 65 20  73 68 6f 75 6c 64 20 62  |ch line should b|
000000f0  65 20 6e 6f 20 6c 6f 6e  67 65 72 0a 23 20 74 68  |e no longer.# th|
00000100  61 6e 20 34 32 20 63 68  61 72 61 63 74 65 72 73  |an 42 characters|
00000110  2e 0a 23 20 54 68 65 72  65 20 69 73 20 61 20 6c  |..# There is a l|
00000120  69 6d 69 74 20 6f 66 20  32 35 20 66 6f 72 6d 75  |imit of 25 formu|
00000130  6c 61 73 20 70 65 72 20  74 6f 70 69 63 2e 0a 0a  |las per topic...|
00000140  23 20 41 6e 79 20 6e 6f  74 65 73 20 73 68 6f 75  |# Any notes shou|
00000150  6c 64 20 62 65 20 6d 61  64 65 20 68 65 72 65 2c  |ld be made here,|
00000160  20 61 74 20 74 68 65 20  62 65 67 69 6e 6e 69 6e  | at the beginnin|
00000170  67 20 61 6e 64 20 73 68  6f 75 6c 64 0a 23 20 62  |g and should.# b|
00000180  65 20 70 72 65 63 65 65  64 65 64 20 62 79 20 61  |e preceeded by a|
00000190  20 68 61 73 68 20 28 23  29 2e 0a 0a 56 3d 49 52  | hash (#)...V=IR|
000001a0  0a 57 68 65 72 65 3a 0a  56 3d 76 6f 6c 74 61 67  |.Where:.V=voltag|
000001b0  65 20 28 56 29 0a 49 3d  63 75 72 72 65 6e 74 20  |e (V).I=current |
000001c0  28 41 29 0a 52 3d 72 65  73 69 73 74 61 6e 63 65  |(A).R=resistance|
000001d0  20 28 4f 68 6d 73 29 0a  0a 49 3d 41 76 6e 51 0a  | (Ohms)..I=AvnQ.|
000001e0  57 68 65 72 65 3a 0a 49  3d 63 75 72 72 65 6e 74  |Where:.I=current|
000001f0  2c 20 41 3d 61 72 65 61  0a 76 3d 76 65 6c 6f 63  |, A=area.v=veloc|
00000200  69 74 79 20 6f 66 20 63  68 61 72 67 65 64 20 63  |ity of charged c|
00000210  61 72 72 69 65 72 73 0a  6e 3d 63 68 61 72 67 65  |arriers.n=charge|
00000220  64 20 63 61 72 72 69 65  72 20 64 65 6e 73 69 74  |d carrier densit|
00000230  79 0a 51 3d 63 68 61 72  67 65 0a 52 3d 72 6c 2f  |y.Q=charge.R=rl/|
00000240  41 0a 57 68 65 72 65 3a  0a 52 3d 72 65 73 69 73  |A.Where:.R=resis|
00000250  74 61 6e 63 65 20 28 4f  68 6d 73 29 0a 72 3d 72  |tance (Ohms).r=r|
00000260  65 73 69 73 74 69 76 69  74 79 20 66 6f 72 20 6d  |esistivity for m|
00000270  61 74 65 72 69 61 6c 0a  6c 3d 6c 65 6e 67 74 68  |aterial.l=length|
00000280  20 6f 66 20 6d 61 74 65  72 69 61 6c 0a 41 3d 63  | of material.A=c|
00000290  72 6f 73 73 20 73 65 63  74 69 6f 6e 61 6c 20 61  |ross sectional a|
000002a0  72 65 61 20 6f 66 20 6d  61 74 65 72 69 61 6c 0a  |rea of material.|
000002b0  52 3d 52 31 2b 52 32 2b  52 33 2e 2e 2e 0a 57 68  |R=R1+R2+R3....Wh|
000002c0  65 72 65 3a 0a 52 3d 74  6f 74 61 6c 20 72 65 73  |ere:.R=total res|
000002d0  69 73 74 61 6e 63 65 0a  52 31 2c 20 52 32 2c 20  |istance.R1, R2, |
000002e0  52 33 2e 2e 2e 20 61 72  65 20 72 65 73 69 73 74  |R3... are resist|
000002f0  6f 72 73 20 69 6e 20 73  65 72 69 65 73 0a 0a 0a  |ors in series...|
00000300  31 2f 52 3d 28 31 2f 52  31 29 2b 28 31 2f 52 32  |1/R=(1/R1)+(1/R2|
00000310  29 2b 28 31 2f 52 33 29  2e 2e 2e 0a 57 68 65 72  |)+(1/R3)....Wher|
00000320  65 3a 0a 52 3d 74 6f 74  61 6c 20 72 65 73 69 73  |e:.R=total resis|
00000330  74 61 6e 63 65 0a 52 31  2c 20 52 32 2c 20 52 33  |tance.R1, R2, R3|
00000340  2e 2e 2e 20 61 72 65 20  72 65 73 69 73 74 6f 72  |... are resistor|
00000350  73 20 69 6e 20 70 61 72  61 6c 6c 65 6c 0a 0a 0a  |s in parallel...|
00000360  51 3d 49 74 0a 57 68 65  72 65 3a 0a 51 3d 63 68  |Q=It.Where:.Q=ch|
00000370  61 72 67 65 20 28 43 29  0a 49 3d 63 75 72 72 65  |arge (C).I=curre|
00000380  6e 74 20 28 41 29 0a 74  3d 74 69 6d 65 20 28 73  |nt (A).t=time (s|
00000390  29 0a 0a 56 3d 45 2f 51  0a 57 68 65 72 65 3a 0a  |)..V=E/Q.Where:.|
000003a0  56 3d 76 6f 6c 74 61 67  65 20 28 56 29 0a 45 3d  |V=voltage (V).E=|
000003b0  65 6e 65 72 67 79 20 28  4a 29 0a 51 3d 63 68 61  |energy (J).Q=cha|
000003c0  72 67 65 20 28 43 29 0a  0a 45 3d 49 74 56 0a 57  |rge (C)..E=ItV.W|
000003d0  68 65 72 65 3a 0a 45 3d  65 6c 65 63 74 72 69 63  |here:.E=electric|
000003e0  61 6c 20 65 6e 65 72 67  79 20 28 4a 29 0a 49 3d  |al energy (J).I=|
000003f0  63 75 72 72 65 6e 74 20  28 41 29 0a 74 3d 74 69  |current (A).t=ti|
00000400  6d 65 20 28 73 29 0a 56  3d 76 6f 6c 74 61 67 65  |me (s).V=voltage|
00000410  20 28 56 29 0a 50 3d 45  2f 74 0a 57 68 65 72 65  | (V).P=E/t.Where|
00000420  3a 0a 50 3d 70 6f 77 65  72 20 28 57 29 0a 45 3d  |:.P=power (W).E=|
00000430  65 6e 65 72 67 79 20 28  4a 29 0a 74 3d 74 69 6d  |energy (J).t=tim|
00000440  65 20 28 73 29 0a 0a 50  3d 56 49 0a 57 68 65 72  |e (s)..P=VI.Wher|
00000450  65 3a 0a 50 3d 70 6f 77  65 72 20 28 57 29 0a 56  |e:.P=power (W).V|
00000460  3d 76 6f 6c 74 61 67 65  20 28 56 29 0a 49 3d 63  |=voltage (V).I=c|
00000470  75 72 72 65 6e 74 20 28  41 29 0a 0a 43 3d 51 2f  |urrent (A)..C=Q/|
00000480  56 0a 57 68 65 72 65 3a  0a 43 3d 63 61 70 61 63  |V.Where:.C=capac|
00000490  69 74 61 6e 63 65 20 6f  66 20 61 20 63 61 70 61  |itance of a capa|
000004a0  63 69 74 6f 72 20 28 46  29 0a 51 3d 63 68 61 72  |citor (F).Q=char|
000004b0  67 65 20 28 43 29 0a 56  3d 76 6f 6c 74 61 67 65  |ge (C).V=voltage|
000004c0  20 28 56 29 0a 0a 45 3d  bd 51 56 0a 57 68 65 72  | (V)..E=.QV.Wher|
000004d0  65 3a 0a 45 3d 65 6e 65  72 67 79 20 73 74 6f 72  |e:.E=energy stor|
000004e0  65 64 20 69 6e 20 61 20  63 61 70 61 63 69 74 6f  |ed in a capacito|
000004f0  72 20 28 4a 29 0a 51 3d  63 68 61 72 67 65 20 28  |r (J).Q=charge (|
00000500  43 29 0a 56 3d 76 6f 6c  74 61 67 65 20 28 56 29  |C).V=voltage (V)|
00000510  0a 0a 31 2f 43 3d 28 31  2f 43 31 29 2b 28 31 2f  |..1/C=(1/C1)+(1/|
00000520  43 32 29 2b 28 31 2f 43  33 29 2e 2e 2e 0a 57 68  |C2)+(1/C3)....Wh|
00000530  65 72 65 3a 0a 43 3d 74  6f 74 61 6c 20 63 61 70  |ere:.C=total cap|
00000540  61 63 69 74 61 6e 63 65  20 28 46 29 0a 43 31 2c  |acitance (F).C1,|
00000550  20 43 32 2c 20 43 33 2e  2e 2e 20 61 72 65 20 63  | C2, C3... are c|
00000560  61 70 61 63 69 74 6f 72  73 20 69 6e 20 73 65 72  |apacitors in ser|
00000570  69 65 73 0a 0a 0a 43 3d  43 31 2b 43 32 2b 43 33  |ies...C=C1+C2+C3|
00000580  2e 2e 2e 0a 57 68 65 72  65 3a 0a 43 3d 74 6f 74  |....Where:.C=tot|
00000590  61 6c 20 63 61 70 61 63  69 74 61 6e 63 65 20 28  |al capacitance (|
000005a0  46 29 0a 43 31 2c 20 43  32 2c 20 43 33 2e 2e 2e  |F).C1, C2, C3...|
000005b0  20 61 72 65 20 63 61 70  61 63 69 74 6f 72 73 20  | are capacitors |
000005c0  69 6e 20 70 61 72 61 6c  6c 65 6c 0a 0a 0a 51 3d  |in parallel...Q=|
000005d0  51 30 65 5e 28 2d 74 2f  52 43 29 0a 49 6e 20 74  |Q0e^(-t/RC).In t|
000005e0  68 65 20 64 69 73 63 68  61 72 67 65 20 6f 66 20  |he discharge of |
000005f0  61 20 63 61 70 61 63 69  74 6f 72 3a 0a 51 3d 63  |a capacitor:.Q=c|
00000600  68 61 72 67 65 20 28 43  29 0a 51 30 3d 69 6e 69  |harge (C).Q0=ini|
00000610  74 69 61 6c 20 63 68 61  72 67 65 0a 74 3d 74 69  |tial charge.t=ti|
00000620  6d 65 20 28 73 29 2c 20  65 3d 32 2e 37 31 38 2e  |me (s), e=2.718.|
00000630  2e 2e 0a 52 43 3d 72 65  73 69 73 74 61 6e 63 65  |...RC=resistance|
00000640  d7 63 61 70 61 63 69 74  61 6e 63 65 3d 74 69 6d  |.capacitance=tim|
00000650  65 20 63 6f 6e 73 74 61  6e 74 0a 43 3d 65 30 65  |e constant.C=e0e|
00000660  72 41 2f 64 0a 46 6f 72  20 61 20 70 61 72 61 6c  |rA/d.For a paral|
00000670  6c 65 6c 20 70 6c 61 74  65 20 63 61 70 61 63 69  |lel plate capaci|
00000680  74 6f 72 3a 0a 43 3d 63  61 70 61 63 69 74 61 6e  |tor:.C=capacitan|
00000690  63 65 20 28 46 29 0a 65  30 3d 70 65 72 6d 69 74  |ce (F).e0=permit|
000006a0  74 69 76 69 74 79 20 6f  66 20 66 72 65 65 20 73  |tivity of free s|
000006b0  70 61 63 65 0a 65 72 3d  72 65 6c 61 74 69 76 65  |pace.er=relative|
000006c0  20 70 65 72 6d 69 74 74  69 76 69 74 79 0a 41 3d  | permittivity.A=|
000006d0  70 6c 61 74 65 20 61 72  65 61 2c 20 64 3d 64 69  |plate area, d=di|
000006e0  73 74 61 6e 63 65 20 62  65 74 77 65 65 6e 20 70  |stance between p|
000006f0  6c 61 74 65 73 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |lates...........|
00000700  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a 0a 0a 0a 0a  |................|
*
00000720  0a 0a 0a 0a 0a 0a 0a 0a  0a 0a 0a 0a              |............|
0000072c