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Two 10-bit ADCs, one of successive approximation type and other of single slope integrating type, take Ta and Tb time respectively to convert 3V analog input signal to digital output. If the input analog signal is increased to 6V, the approximate time taken by the two ADCs will respectively be
  • a)
    2Ta, 2Tb
  • b)
    Ta, Tb
  • c)
    Ta, 2Tb
  • d)
    2Ta, Tb
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two 10-bit ADCs, one of successive approximation type and other of sin...
  • For the successive approximation ADC, the conversion time is proportional to the input voltage range, so for a 6V input signal, the conversion time will be 2 times Ta. Therefore, the approximate time taken by the successive approximation ADC for a 6V input signal will be 2Ta.
  • For the single slope integrating ADC, the conversion time is also proportional to the input voltage range, so for a 6V input signal, the conversion time will be 2 times Tb. Therefore, the approximate time taken by the single slope integrating ADC for a 6V input signal will be Tb.
  • Therefore, the approximate time taken by the two ADCs for a 6V input signal will be 2Ta for the successive approximation ADC and Tb for the single slope integrating ADC.
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Two 10-bit ADCs, one of successive approximation type and other of sin...
Understanding ADC Types
Two types of ADCs are considered here: successive approximation and single slope integrating.
Successive Approximation ADC
- This type of ADC converts the analog signal by comparing it to a reference voltage in a stepwise manner.
- The time taken (Ta) is consistent and primarily depends on the number of bits.
- For a 10-bit ADC, it takes Ta to convert a 3V signal.
Single Slope Integrating ADC
- This ADC integrates the input signal over time and then measures the time taken to discharge.
- The time taken (Tb) is directly proportional to the amplitude of the input voltage.
- For a 3V signal, it takes Tb.
Effect of Increasing Voltage
When the input voltage is increased to 6V:
For the Successive Approximation ADC:
- The time taken remains the same (Ta) because the time for conversion is not affected by the amplitude of the input signal.
For the Single Slope Integrating ADC:
- The time required is proportional to the voltage. Doubling the input voltage from 3V to 6V will approximately double the conversion time.
- Therefore, it takes 2Tb for a 6V signal.
Conclusion
Thus, for the increased input signal of 6V:
- Successive Approximation ADC takes approximately Ta.
- Single Slope Integrating ADC takes approximately 2Tb.
Hence, the correct answer is option 'D' (2Ta, Tb).
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