Problem-9 The circuit in the following figure can be used to measure the in-car temperature. This circuit is designed to operate between -40 °C and +40 °C. The resistor R₂ is a temperature dependent resistor (RTD). The relation between temperature and resistance (transfer function) can be approximated with the following linear equation: R₂ (T) = Ro(1 + aT), with Ro equal to 100 and a = 0.004/°C. The resistor R₁ has a fixed value (R₁ = Rok). a) Find the output voltage in terms of k, a, and T. b) Find the sensitivity of the sensor for a change in the temperature (i.e., do). Calculate the output voltage for k = 10, V₂ = 24 V, and T is last three digits of your student ID divided by 3. (i.e., if your student ID is 114207036, T == 36 3 VO R₁ www O R₂ v Figure 2 Vo = 12°C)
Problem-9 The circuit in the following figure can be used to measure the in-car temperature. This circuit is designed to operate between -40 °C and +40 °C. The resistor R₂ is a temperature dependent resistor (RTD). The relation between temperature and resistance (transfer function) can be approximated with the following linear equation: R₂ (T) = Ro(1 + aT), with Ro equal to 100 and a = 0.004/°C. The resistor R₁ has a fixed value (R₁ = Rok). a) Find the output voltage in terms of k, a, and T. b) Find the sensitivity of the sensor for a change in the temperature (i.e., do). Calculate the output voltage for k = 10, V₂ = 24 V, and T is last three digits of your student ID divided by 3. (i.e., if your student ID is 114207036, T == 36 3 VO R₁ www O R₂ v Figure 2 Vo = 12°C)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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