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Electrical Engineering Formulas
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Where V i R C L voltage current resistance capacitance inductance
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DC ELECTRONICS FORMULAS
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Ohm s law: V Power: P Series resistance: Rt Parallel resistance: Rt Two resistors in parallel: Rt Series capacitance: Ct 1/[(1/C1) (1/C2) . . .] (R1 R2)/(R1 R2) 1/[(1/R1) (1/R2) . . .] R1 R2 ... Vi iR
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APPENDIX C
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Parallel capacitance: Ct Wheatstone bridge: C1 C2 ...
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Ru = R1 * R3 / R4 When NoCurrent Flow In the Meter
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Figure C.1 The Wheatstone bridge is a useful circuit for measuring small resistances.
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Resonance: Frequency RC time constant: R RL time constant: L/R RC charging: V(t) i(t) RC discharging: V(t) i(t) Transformer current/voltage: Turns ratio number of turns on primary (p) side/number of turns on secondary (s) side Turns ratio Vs/Vp Ip/Is Vi ii e t/ e t/ Vf (1 if (1 e t/ ) e t/ ) C 1/[2 SQRT(L C)]
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USEFUL TABLES AND DATA
Transmission-line characteristic impedance: Zo SQRT(L/C)
Mathematical Formulas
Frequency For electromagnetic waves: Frequency Perfect gas law: PV nRT c/wavelength speed/wavelength
BOOLEAN ARITHMETIC
Identify functions: A AND 1 A OR 0 Output set/reset: A AND 0 A OR 1 Identity law: A Double negation law: NOT( NOT( A )) Complementary law: A AND NOT( A ) A OR NOT( A ) 0 1 A A 0 1 A A
APPENDIX C
Idempotent law: A AND A A OR A Commutative law: A AND B A OR B Associative law: (A AND B) AND C (A OR B) OR C Distributive law: A AND (B OR C) A OR (B AND C) De Morgan s theorem: NOT(A OR B) NOT(A AND B) NOT(A) AND NOT(B) NOT(A) OR NOT(B) (A AND B) OR (A AND C) (A OR B) AND (A OR C) A AND (B AND C) A OR (B OR C) A AND B AND C B AND A B OR A A A
A OR B OR C
Note: AND is often represented as multiplication, nothing between the terms, or the . else * characters between them. OR is often represented as addition with between terms. NOT is indicated with a or ! character before the term; ~ is usually used to indicate a multibit bitwise inversion.
Mathematical Conversions
1 inch 2.54 centimeters 1 mile 1.609 kilometers 1 ounce 29.57 grams 1 U.S. gallon 3.78 liters 1 atmosphere 29.9213 inches of mercury 14.6960 pounds per square inch 101.325 kilopascals 10,000,000,000 angstroms 1 meter 1,000,000 microns 1 meter
USEFUL TABLES AND DATA
Tera Giga Mega Kilo Unit Unit Unit 1 hour 1 year
1,000 giga 1,000 mega 1,000 kilo 1,000 units 100 centi 1,000 milli 1,000,000 3,600 seconds 8,760 hours
ASCII
The ASCII de nition uses the 7 bits of each ASCII character
TABLE C.4 ASCII CHARACTER TABLE BITS 6:4 CONTROL BITS 3:0 000 001 010 011 CHARACTERS 100 101 110 111
0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111
NUL SOH STX ETX EOT ENQ ACK BEL HS HT LF VT FF CR SO SI
DLE DC1 DC2 DC3 DC4 NAK SYN ETB CAN EM SUB ESC FS GS RS US
Space ! # $ % & ( ) * + , . /
0 1 2 3 4 5 6 7 8 9 : ; <
@ A B C D E F G H I J K L M
P Q R S T U V W X Y Z [ \ ] ^ _
` a b c d e f g h i j k l m n o
p q r s t u v w x y z { | } ~ DEL
APPENDIX C
ASCII CONTROL CHARACTERS
The ASCII control characters were speci ed as a means of allowing one computer to communicate with and control another. These characters are actually commands, and if the BIOS or MS-DOS displays or communications APIs are used with them, they will revert back to their original purpose. As I note below when I present the IBM extended ASCII characters, writing these values (all less than 0x020) to the display will display graphics characters. Normally, only carriage return and line feed are used to indicate the start of a line. Null is used to indicate the end of an ASCIIZ string. Backspace will move the cursor back one column to the start of the line. The Bell character, when sent to MS-DOS, will cause the PC s speaker to beep. Horizontal tab is used to move the cursor to the start of the next column that is evenly distributed by eight. Form feed is used to clear the screen.
TABLE C.5 HEX
ASCII CONTROL CHARACTER DEFINITIONS DEFINITION
MNEMONIC
00 01 02 03 04 05 06 07 08 09 0A 0B 0C 0D 0E 0F
NUL SOH STX ETX EOT ENQ ACK BEL BS HT LF VT FF CR SO SI
Null used to indicate the end of a string Message start of header Message start of text Message end of text end of transmission Enquire for identi cation or information Acknowledge the previous transmission Ring the bell Backspace move the cursor on column to the left Horizontal tab move the cursor to the right to the next tab stop (normally a column evenly divisible by eight) Line feed move the cursor down one line Vertical tab move the cursor down to the next tab line Form feed up to the start of the new page; for CRT displays, this is often used to clear the screen Carriage return move the cursor to the leftmost column Next group of characters do not follow ASCII control conventions, so they are shifted out The following characters do follow the ASCII control conventions and are shifted in
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