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.

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Chapter59: Motor Startup And Troubleshooting Basics
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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=1kn2, 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=1ks. 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:
D.
ICI
T₁ VCEI
M
VEI
3. Give the expression of the voltage VE1 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.
Transcribed Image Text: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=1kn2, 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=1ks. 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: D. ICI T₁ VCEI M VEI 3. Give the expression of the voltage VE1 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.
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