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Q#1 Data Converters GATE EC 2023 NAT +2 marks -0 marks

A sample and hold circuit is implemented using a resistive switch and a capacitor with a time constant of . The time for sampling switch to stay closed to charge a capacitor adequately to full scale voltage of  with 12-bit accuracy is ________ .

(rounded off to two decimal places)

Explanation:

Given: Time constant  of  sec.

Full scale voltage

Steady state voltage of circuit is given by

 

         …(i)

To calculate the voltage to stay closed to charge capacitor adequately to a full scale voltage with 12 -bit accuracy is given by

 

 

                 …(ii)

Comparing equations (i) and (ii), we get,

 

 

 

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