Ube V BE UBE -5 V/V 5 V/V 200 V/V 20 V/V )-200 V/V ic Vcc Rc UCE
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![**BJT Single Transistor Common-Emitter Amplifier**
The given problem provides details about a BJT single transistor common-emitter amplifier with the following specifications:
- Supply Voltage (\(V_{CC}\)) = 20 volts
- Collector Current (\(I_C\)) = 5 mA
- Collector Resistor (\(R_C\)) = 1 kΩ
- Thermal Voltage (\(V_T\)) = 25 mV
**Objective:**
Calculate the expected small signal voltage gain (\(v_{ce}/v_{be}\)).
**Circuit Diagram Explanation:**
The diagram illustrates a common-emitter amplifier:
1. **Power Supply:** The circuit is powered by a voltage source, \(V_{CC}\), of 20 volts connected to the collector through the resistor \(R_C\).
2. **Transistor:** The bipolar junction transistor (BJT) is configured with the collector connected to the \(R_C\), the emitter grounded, and the base connected to the input signal.
3. **Input Signal:** The small signal \(v_{be}\) represents the input voltage across the base-emitter junction with a larger DC bias voltage \(V_{BE}\).
4. **Output Voltage:** The output voltage \(v_{ce}\) is taken across the collector-emitter junction.
**Possible Answers:**
The potential answers for the voltage gain are:
- \(-5 \, \text{V/V}\)
- \(5 \, \text{V/V}\)
- \(200 \, \text{V/V}\)
- \(20 \, \text{V/V}\)
- \(-200 \, \text{V/V}\)
- \(-20 \, \text{V/V}\)
**Calculating Voltage Gain:**
The voltage gain (\(A_v\)) for a common-emitter amplifier can be determined using:
\[ A_v = -\frac{R_C}{r_e} \]
Where \(r_e\) is the emitter resistance and can be approximated by:
\[ r_e \approx \frac{V_T}{I_C} \]
Substitute the given values:
\[ r_e \approx \frac{25 \, \text{mV}}{5 \, \text{mA}} = 5 \, \Omega \]
Then, calculate the voltage gain:
\[ A_v = -\frac{1000 \, \Omega}{5 \](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b5d3f26-cda5-43e5-8223-bfa02258241c%2F7e6790d8-a991-4440-8745-4bc9a62b5c35%2Flsaymr_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**BJT Single Transistor Common-Emitter Amplifier**
The given problem provides details about a BJT single transistor common-emitter amplifier with the following specifications:
- Supply Voltage (\(V_{CC}\)) = 20 volts
- Collector Current (\(I_C\)) = 5 mA
- Collector Resistor (\(R_C\)) = 1 kΩ
- Thermal Voltage (\(V_T\)) = 25 mV
**Objective:**
Calculate the expected small signal voltage gain (\(v_{ce}/v_{be}\)).
**Circuit Diagram Explanation:**
The diagram illustrates a common-emitter amplifier:
1. **Power Supply:** The circuit is powered by a voltage source, \(V_{CC}\), of 20 volts connected to the collector through the resistor \(R_C\).
2. **Transistor:** The bipolar junction transistor (BJT) is configured with the collector connected to the \(R_C\), the emitter grounded, and the base connected to the input signal.
3. **Input Signal:** The small signal \(v_{be}\) represents the input voltage across the base-emitter junction with a larger DC bias voltage \(V_{BE}\).
4. **Output Voltage:** The output voltage \(v_{ce}\) is taken across the collector-emitter junction.
**Possible Answers:**
The potential answers for the voltage gain are:
- \(-5 \, \text{V/V}\)
- \(5 \, \text{V/V}\)
- \(200 \, \text{V/V}\)
- \(20 \, \text{V/V}\)
- \(-200 \, \text{V/V}\)
- \(-20 \, \text{V/V}\)
**Calculating Voltage Gain:**
The voltage gain (\(A_v\)) for a common-emitter amplifier can be determined using:
\[ A_v = -\frac{R_C}{r_e} \]
Where \(r_e\) is the emitter resistance and can be approximated by:
\[ r_e \approx \frac{V_T}{I_C} \]
Substitute the given values:
\[ r_e \approx \frac{25 \, \text{mV}}{5 \, \text{mA}} = 5 \, \Omega \]
Then, calculate the voltage gain:
\[ A_v = -\frac{1000 \, \Omega}{5 \
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1: we need to determine small signal voltage gain vce/vbe
Given that,
Vcc =20v
Collector current Ic = 5mA
Collector resistor Rc = 1k
Voltage VT = 25mV
Voltage gain
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Solved in 3 steps with 12 images
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