SLYW038D September   2014  – April 2025 AFE030 , AFE031 , AFE032 , ALM2402-Q1 , LMC6035-Q1 , LMV601 , LMV602 , LMV604 , LMV611 , LMV612 , LMV614 , LMV881 , OPA1602 , OPA1604 , OPA1612 , OPA1612-Q1 , OPA1622 , OPA1652 , OPA1654 , OPA1662 , OPA1662-Q1 , OPA1664 , OPA1688 , OPA170 , OPA170-EP , OPA171-Q1 , OPA172 , OPA180 , OPA188 , OPA191 , OPA192 , OPA197 , OPA211-EP , OPA2170 , OPA2171 , OPA2171-EP , OPA2171-Q1 , OPA2172 , OPA2180 , OPA2188 , OPA2192 , OPA2211-EP , OPA2211-HT , OPA2227-EP , OPA2277-EP , OPA2313 , OPA2314 , OPA2314-EP , OPA2314-Q1 , OPA2316 , OPA2317 , OPA2320-Q1 , OPA2322-Q1 , OPA2376-Q1 , OPA2625 , OPA313 , OPA314 , OPA316 , OPA317 , OPA320 , OPA322 , OPA348-Q1 , OPA355-Q1 , OPA4170 , OPA4171 , OPA4171-Q1 , OPA4172 , OPA4180 , OPA4188 , OPA4192 , OPA4277-EP , OPA4313 , OPA4314 , OPA4316 , OPA4317 , OPA4322 , OPA4322-Q1 , OPA549-HIREL , OPA564-Q1 , OPA625 , SM73307 , SM73308 , TLC2274-HT , TLE2141-Q1 , TLV2314 , TLV2316 , TLV2333 , TLV27L2-Q1 , TLV314 , TLV316 , TLV333 , TLV4314 , TLV4316 , TLV4333

 

  1.   1
  2.   Analog Engineer's Pocket Reference
  3.   Conversions
    1.     Standard decimal prefixes
    2.     Metric conversions
    3.     Temperature scale conversions
    4.     Error conversions ppm and percentage
    5.     Notes
  4.   Discrete Components
    1.     Resistor color code
    2.     Capacitor specifications
    3.     Capacitance type overview
    4.     Diodes and LEDs
    5.     Bipolar junction transistors (BJT)
    6.     Junction field effect transistors (JFET)
    7.     Metal oxide semiconductor field effect transistor (MOSFET)
    8.     Notes
  5.   Analog
    1.     Resistor equations
    2.     Power equations
    3.     Capacitor equations
    4.     Inductor equations
    5.     RMS and mean voltage
    6.     Logarithmic mathematical definitions
      1.      Alternative notations
    7.     dB definitions
      1.      Bode plot basics
      2.      Definitions
      3.      Log scale
      4.      Time to phase shift
      5.      Bode plots: Poles
    8.     Pole (equations)
      1.      Bode plots (zeros)
      2.      Zero (equations)
    9.     Notes
  6.   Amplifier
    1.     Basic op amp configurations
      1.      Simple non-inverting amp with Cf filter
      2.      Simple inverting amp with Cf filter
      3.      Differential filter cutoff
      4.      Calculating amplifier offset voltage
    2.     Op amp bandwidth
      1.      Small signal step response
    3.     Full power bandwidth
    4.     Large signal response (slew rate)
    5.     Settling Time
    6.     Combining noise sources
      1.      Averaging noise sources
      2.      Noise bandwidth calculation
        1.       Broadband total noise calculation
      3.      1/f total noise calculation
      4.      Thermal noise calculation
      5.      Op amp noise model
      6.      Total noise calculations
    7.     AC response versus frequency (dominant 2-pole system)
      1.      Phase margin versus AC peaking
      2.      Transient overshoot (dominant 2-pole system)
      3.      Phase margin versus percentage overshoot
    8.     Stability open loop SPICE analysis
      1.      Stability transient square wave lab test
      2.      Stability AC sine wave lab test
    9.     Power dissipation calculation
    10.     Electrical overstress (EOS) protection
    11.     Notes
  7.   PCB and Wire
    1.     PCB and Wire
    2.     PCB trace resistance for 1 oz-Cu
    3.     PCB trace resistance for 2 oz-Cu
    4.     Common package type and dimensions
    5.     PCB parallel plate capacitance
    6.     PCB microstrip capacitance and inductance
    7.     PCB adjacent copper traces
    8.     PCB via capacitance and inductance
    9.     Coaxial cable equations
    10.     Notes
  8.   Sensor
    1.     Thermistor
    2.     Resistive temperature detector (RTD)
      1.      RTD equation temperature to resistance (T≥0°C and T<0°C)
      2.      RTD equation resistance to temperature (T≥0°C or RRTD ≥ R0)
      3.      RTD equation resistance to temperature (T< 0°C or RRTD < R0)
    3.     Diode equation vs. temperature
      1.      Diode voltage versus temperature
    4.     Thermocouple (J and K)
      1.      Type J thermocouples translating temperature to voltage (ITS-90 standard)
      2.      Type J thermocouples translating voltage to temperature (ITS-90 standard)
      3.      Type K thermocouples translating temperature to voltage (ITS-90 standard)
      4.      Type K thermocouples translating voltage to temperature (ITS-90 standard)
      5.      Thermistor: Resistance to temperature, Steinhart-Hart equation
      6.      Thermistor: Temperature to resistance, Steinhart-Hart equation
    5.     Notes
  9.   Digital
    1.     Binary/hex conversions
      1.      Numbering systems: Binary, decimal, and hexadecimal
        1.       Example conversion: Binary to decimal
        2.       Example conversion: Decimal to binary
        3.       Example conversion: Binary to hexadecimal
        4.       Example conversion: Hexadecimal to decimal and decimal to hexadecimal
      2.      Data formats
        1.       Converting two’s complement to decimal: Negative number example
        2.       Converting two’s complement to decimal: Positive number example
    2.     Digital logic thresholds
    3.     Serial peripheral interface
      1.      SPI bus (Serial Peripheral Interface) hardware overview
        1.       Data and control lines
      2.      SPI data latching
        1.       SPI read sequence example
      3.      SPI critical edge
      4.      SPI modes
    4.     Inter-integrated circuit (I2C) bus
      1.      I2C bus (Inter-Integrated Circuit) hardware overview
        1.       Data and control lines
      2.      I2C addressing
      3.      I2C communication
      4.      I2C interface circuitry and rise/fall timing
      5.      I2C pull-up resistor selection
    5.     Notes
  10.   ADC
    1.     ADC transfer function
      1.      ADC definitions
      2.      ADC resolution for unipolar
        1.       Full-scale range (FSR) unipolar
      3.      ADC resolution for bipolar
        1.       Full-scale range (FSR) bipolar
      4.      Resolution voltage vs. full-scale range
    2.     Quantization error of ADC
      1.      Quantization error
    3.     Signal-to-noise ratio (SNR) from quantization noise only
    4.     Total harmonic distortion (VRMS)
    5.     Total harmonic distortion (dBc)
    6.     AC signals
      1.      Signal-to-noise and distortion (SINAD) and effective number of bits (ENOB)
    7.     DC signals
      1.      Noise free resolution and effective resolution
    8.     Settling time and conversion accuracy
    9.     ADC system noise calculation
    10.     Effect of clock jitter on ADC SNR
    11.     Notes
  11.   DAC
    1.     DAC errors
      1.      DAC definitions
      2.      DAC offset error
      3.      DAC gain error
      4.      DAC zero-code error / negative full-scale error
      5.      DAC bipolar zero error
      6.      DAC full-scale error
    2.     DAC non-linearity
      1.      DAC differential non-linearity
      2.      DAC integral non-linearity
    3.     DAC total unadjusted error
    4.     Notes
  12.   Multiplexer
    1.     CMOS switch construction
    2.     ON-resistance (RON)
    3.     RON flatness
    4.     Effective op amp gain including MUX RON
      1.      Design tips
    5.     ON and OFF capacitance (CON/ COFF)
    6.     Leakage current
      1.      Off leakage current
      2.      On leakage current
    7.     Charge injection (QINJ)
    8.     Bandwidth (BW)
    9.     Channel-to-channel crosstalk (XTALK)
    10.     OFF-isolation
    11.     Total harmonic distortion plus noise (THD+N)
    12.     Notes
  13.   TI Worldwide Technical Support

Coaxial cable equations

Equation 173. C l = 2 πε ln D d
Figure 71 Capacitance per length
Equation 174. L l = μ 2 π ln D d
Figure 72 Inductance per length
Equation 175. Z o = L C = 1 2 π · μ ε · ln D d
Figure 73 Characteristic impedance

Where

L = inductance in henries (H)

C = capacitance in farads (F)

Z = impedance in ohms (Ω)

d = diameter of inner conductor

D = inside diameter of shield, or diameter of dielectric insulator

ε = dielectric constant of insulator (ε = εr εo)

μ = magnetic permeability (μ = μr μo)

l = length of the cable

Coaxial cable cutaway Figure 74 Coaxial cable cutaway
Table 21 Resistance per length for different wire types (AWG)
AWG Stds Outside diameter Area DC resistance
in mm circular mils mm2 Ω / 1000 ft Ω / km
36 Solid 0.005 0.127 25 0.013 445 1460
36 7/44 0.006 0.152 28 0.014 371 1271
34 Solid 0.0063 0.160 39.7 0.020 280 918
34 7/42 0.0075 0.192 43.8 0.022 237 777
32 Solid 0.008 0.203 67.3 0.032 174 571
32 7/40 0.008 0.203 67.3 0.034 164 538
30 Solid 0.010 0.254 100 0.051 113 365
30 7/38 0.012 0.305 112 0.057 103 339
28 Solid 0.013 0.330 159 0.080 70.8 232
28 7/36 0.015 0.381 175 0.090 64.9 213
26 Solid 0.016 0.409 256 0.128 43.6 143
26 10/36 0.021 0.533 250 0.128 41.5 137
24 Solid 0.020 0.511 404 0.205 27.3 89.4
24 7/32 0.024 0.610 448 0.229 23.3 76.4
22 Solid 0.025 0.643 640 0.324 16.8 55.3
22 7/30 0.030 0.762 700 0.357 14.7 48.4
20 Solid 0.032 0.813 1020 0.519 10.5 34.6
20 7/28 0.038 0.965 1111 0.562 10.3 33.8
18 Solid 0.040 1.020 1620 0.823 6.6 21.8
18 7/26 0.048 1.219 1770 0.902 5.9 19.2
16 Solid 0.051 1.290 2580 1.310 4.2 13.7
16 7/24 0.060 1.524 2828 1.442 3.7 12.0
14 Solid 0.064 1.630 4110 2.080 2.6 8.6
14 7/22 0.073 1.854 4480 2.285 2.3 7.6
Table 22 Maximum current vs. AWG
Wire gauge Polyethylene Neoprene Polyvinylchloride (semi-ridged) at 80°C Polypropylene Polyethylene (high density) at 90°C Polyvinylchloride Nylon at 105°C Kynar Polyethylene Thermoplastic at 125°C Kapton Teflon Silicone at 200°C
AWG Imax (A) Imax (A) Imax (A) Imax (A) Imax (A)
30 2 3 3 3 4
28 3 4 4 5 6
26 4 5 5 6 7
24 6 7 7 8 10
22 8 9 10 11 13
20 10 12 13 14 17
18 15 17 18 20 24
16 19 22 24 26 32
14 27 30 33 40 45
12 36 40 45 50 55
10 47 55 58 70 75
Note: The table shows the current required to raise the temperature of a single insulated conductor in free air (30°C ambient) to the limits of various insulation types.

Example

What is the maximum current that can be applied to a 30 gauge Teflon wire in a room temperature environment?

What will the self-heating be?

Answer

Imax = 4A

Wire temperature = 200°C