A 12-bit analog to digital data acquisition module has an input range of 0 vdc to + 10 vdc. calculate the least significant bit value. show the method

Respuesta :

Module Output [tex]$=7526.4000 \mathrm{~V}$[/tex]

Given that the 12-bit analogue to digital data acquisition module has an input range of [tex]$0 V_{d c}$[/tex] to [tex]$+10 V_{d C}$[/tex].

the Least Significant bit of ADC.

Given [tex]$V_{\text {ret }}(t)=10 \mathrm{~V}$[/tex]

[tex]$V_{\text {set }}(-)=O V$[/tex]

N=12

LSB of [tex]$A D C=\frac{V_{\text {ret }}(t)-V {ret}(-)}{2^{N}}$[/tex]

LSB of [tex]$A D C=\frac{10-0}{2^{12}}=\frac{10}{2^{12}}=2.4414 \mathrm{mV}=2.441 \mathrm{mV}$[/tex]

Step size [tex]$\Delta=\frac{V_{\max }-V_{\min }}{2^{14}}=\frac{10-0}{2^{12}}=\frac{10}{2^{12}}=2.441 \mathrm{mV}$[/tex]

maximum quantization error [tex]$=\frac{\Delta}{2}=\frac{\text { stepsize }}{2}=\frac{2.441}{2} \mathrm{~m}$[/tex]

quantization error [tex]$=1.2207 \times 10^{-3}=1.2207 \mathrm{~m}=0.0012207$[/tex]

A number of the unique level [tex]$=2^{N}=2^{12}=4096$[/tex]lever.

Quantization unceitainily [tex]$=2.441 \mathrm{mv}=10 / 2^{12}=2.441 \mathrm{mv}$[/tex]

it we convidee Sensitinly =5000 psi/v then

Quantitation uncertainly [tex]$=5000 \times \frac{10}{2^{12}}=12.207 \mathrm{psi}$[/tex]

the input voltage is [tex]$7.35 \mathrm{~V}$[/tex].

the output module voltage [tex]$=\frac{V_{\text {in }}}{\text { Vret }} \times 2^{N}$[/tex]

Module Output [tex]$=\frac{V_{\text {in }}}{\text { Vret }} \times 2^{N}=\frac{7.35}{\text { k/ret }} \times 2^{12}=\frac{30105.6}{\text { Vret }}$[/tex]

Let us Consider Vref[tex]$=4 \mathrm{~V}$[/tex].

then the Module Output [tex]$=\frac{\text { Vin }}{\text { Vref }} \times 2^{12}=\frac{7.35}{4} \times 2^{12}=7526.4000 \mathrm{~V}$[/tex]

Module Output [tex]$=7526.4000 \mathrm{~V}$[/tex]

What is Module Output ?

  • A module output is a variable in the module that stores information created by the module and can give a value to other variables or modules that are connected to it.
  • A PLC Output module's function is to run or control a physical device depending on field device circumstances coupled to an input module and PLC program decisions. – Digital or Discrete devices have just two potential states, whereas Analog devices have an infinite number of states.

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