High School

Given a dual-slope ADC with \( V_{\text{ref}} = 95 \text{ mV} \), the first integration time is 88 ms, and the input voltage is 98.5 mV. What is the conversion time of the ADC?

A. 88 ms
B. 95 ms
C. 98.5 ms
D. 183 ms
E. 193.5 ms

Answer :

Final answer:

The conversion time of the dual-slope ADC can be calculated using the formula: (First integration time) + (Second integration time). The second integration time can be found by setting up an equation and solving for it. Finally, adding the first and second integration times gives us the conversion time of the ADC.

Explanation:

The conversion time of the dual-slope ADC can be calculated using the formula:

(First integration time) + (Second integration time)

The first integration time is given as 88ms. To calculate the second integration time, we need to find the time it takes for the voltage to reach 0.368 of the initial value. Using the given information, we can set up the equation:

(Second integration time) * (Vref) = (0.368) * (Input voltage)

By substituting the values, we can solve for the second integration time:

(Second integration time) = (0.368 * Input voltage) / Vref

Now, we can add the first and second integration times to find the conversion time of the ADC.