Arrange the following components of dual‐slot integrating A/D converter in order of their appearance while moving from input to output stage. A. Comparator B. Control C. Integrator D. Counter Choose the correct answer from the options given below
C, A, D, B
A dual-slot integrating Analog-to-Digital Converter (ADC), also commonly known as a dual-slope ADC, is a type of data converter that converts an analog voltage into a digital value. It works by first integrating the unknown input voltage for a fixed period (the 'charge' phase) and then integrating a known reference voltage of opposite polarity until the integrator output returns to its starting point (the 'discharge' phase). The time taken during the discharge phase is directly proportional to the input voltage.
The key components involved in a dual-slope integrating ADC are:
The question asks for the order of these components as you move from the input to the output stage of the dual-slot integrating A/D converter. Let's trace the signal flow and the functional path leading to the digital output:
Considering the path from where the input signal enters (Integrator), through monitoring (Comparator), to the unit that measures the output (Counter), and finally the unit that manages the process and often holds or presents the result (Control), the sequence that follows the path from input towards the output stage is often represented as:
| Step | Component | Function in Flow |
|---|---|---|
| 1 | Integrator (C) | Receives and processes the input analog signal. |
| 2 | Comparator (A) | Monitors the integrator output to detect key events (like zero crossing). |
| 3 | Counter (D) | Measures the time during the discharge phase, resulting in the digital value. Controlled by the Control unit based on Comparator output. |
| 4 | Control (B) | Orchestrates the entire conversion process, manages switches, Counter, and responds to the Comparator's signal. Represents the overall logic and output processing/holding stage. |
Based on this progression from input processing to state detection, measurement, and overall control/output logic, the components appear in the order: Integrator (C), Comparator (A), Counter (D), and Control (B).
The order of components in a dual-slot integrating A/D converter from input to output stage is C, A, D, B.
| Component | Symbol | Primary Role in Dual-Slot ADC |
|---|---|---|
| Integrator | C | Integrates input/reference voltage. |
| Comparator | A | Compares integrator output to a reference (zero). |
| Control | B | Manages conversion phases, switches, and counter. |
| Counter | D | Measures time during discharge phase; holds digital output. |
Dual-slope ADCs are known for their accuracy and noise rejection, particularly power line noise (like 50 Hz or 60 Hz). This is because the integration process averages out random noise, and by integrating for a fixed period related to the noise frequency, the noise component averages to zero. They are relatively slow compared to other ADC types like successive approximation or flash converters, but their accuracy makes them suitable for applications like digital voltmeters.
The conversion process involves integrating the input voltage \(V_{in}\) for a fixed time \(T_1\), causing the integrator output to reach \(V_{peak}\). Then, a reference voltage \(V_{ref}\) is integrated for a variable time \(T_2\) until the output returns to zero. The relationship between \(V_{in}\) and \(T_2\) is given by:
\[ V_{in} \times T_1 = V_{ref} \times T_2 \]
Thus, \( V_{in} = V_{ref} \times \frac{T_2}{T_1} \). Since \(V_{ref}\) and \(T_1\) are constant, \(V_{in}\) is directly proportional to \(T_2\), which is measured by the counter.
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