We propose to study the assembly of figure 1 which allows the ignition of a red diode from a certain percentage of humidity in the air detected by a sensor. The assembly elements are: VDD=3V, R₁=1ks, R₂=1000, R3=27002. Diode D₁: VSD1=1.2V, RSD1=12 2. Transistor T₁: B=100, VCEsat 0.2V and its base VST1=0.6V, RST1=1kQ2. The value of the resistor RH depend on the air humidity's percentage (noted X) following the relation RH=30X; where RH is in 2 and X in %. In all numerical applications, we will suppose that B+1 B. VDD is referenced to ground. 1. Determine the expressions of the elements of the equivalent Thevenin generator (indicated on the figure) according to VDD, R₁, R₂ and RH. 2. Taking into account the operation of the transistor, give the expression of the current flowing through the resistor R3 as a function of IB1. R₁ RH R₂ Capteur d'humidité Thevenin IBI VBEI R3 VDD LED rouge Figure1: D₁ ICI T₁ VCEI VEI 3. Give the expression of the voltage V₁1 as a function of IB1. Deduce the expression of VCE1 4. Give the expression of the current IB1 as a function of Eth, Rth, B, VST1, RST1, VDS1, RSD1 and R3. We are now looking for the percentage of humidity that unlocks the transistor.

We propose to study the assembly of figure 1 which allows the ignition of a red diode from a certain percentage of humidity in the air detected by a sensor. The assembly elements are: VDD=3V, R₁=1ks, R₂=1000, R3=27002. Diode D₁: VSD1=1.2V, RSD1=12 2. Transistor T₁: B=100, VCEsat 0.2V and its base VST1=0.6V, RST1=1kQ2. The value of the resistor RH depend on the air humidity's percentage (noted X) following the relation RH=30X; where RH is in 2 and X in %. In all numerical applications, we will suppose that B+1 B. VDD is referenced to ground. 1. Determine the expressions of the elements of the equivalent Thevenin generator (indicated on the figure) according to VDD, R₁, R₂ and RH. 2. Taking into account the operation of the transistor, give the expression of the current flowing through the resistor R3 as a function of IB1. R₁ RH R₂ Capteur d'humidité Thevenin IBI VBEI R3 VDD LED rouge Figure1: D₁ ICI T₁ VCEI VEI 3. Give the expression of the voltage V₁1 as a function of IB1. Deduce the expression of VCE1 4. Give the expression of the current IB1 as a function of Eth, Rth, B, VST1, RST1, VDS1, RSD1 and R3. We are now looking for the percentage of humidity that unlocks the transistor.

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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