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Please explain the solution and analysis in detail? For intance, what is id? Why id=-id? What is 250Vbe? Why 250*Vbe? Independent and dependent source? How to solve the question? etc...

Please explain the solution and analysis in detail? For intance, what is id? Why id=-id? What is 250Vbe? Why 250*Vbe? Independent and dependent source? How to solve the question? etc...

Introductory Circuit Analysis (13th Edition)
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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Please explain the solution and analysis in detail?

For intance, what is id?

Why id=-id?

What is 250Vbe?

Why 250*Vbe?

Independent and dependent source?

How to solve the question?

etc...

### Circuit Analysis In the circuit shown, we analyze the current and power characteristics involving a voltage-controlled current source. #### Circuit Diagram Description: - There is a 5 mV voltage source connected in series with the dependent current source denoted as \( 250v_{be} \). - A resistor of 8 Ω is situated in series with the voltage source and dependent current source. - The current \( i \) flows through the resistor and is marked with an arrow to indicate direction. #### Analysis: - **Dependent Current Calculation:** The current through the dependent source \( i_d \) is calculated as: \[ i_d = 250 \times v_{be} = 250 \times (5 \, \text{mV}) = 1250 \, \text{mA} = 1.25 \, \text{A} \] - **Current Direction Adjustment:** The current \( i \) through the circuit is the negative of \( i_d \) (due to direction): \[ i = -i_d = -1.25 \, \text{A} \] - **Voltage Across Resistor:** The voltage \( v \) across the 8 Ω resistor is given by: \[ v = i \times R = -1.25 \times 8 = -10 \, \text{V} \] - **Power Calculation:** The power \( p \) dissipated in the resistor is: \[ Power, \, p = v \times i = 12.5 \, \text{W} \quad \text{(all from the dependent source)} \] This power is entirely supplied by the dependent source and dissipated as heat in the 8 Ω resistor.
Transcribed Image Text:### Circuit Analysis In the circuit shown, we analyze the current and power characteristics involving a voltage-controlled current source. #### Circuit Diagram Description: - There is a 5 mV voltage source connected in series with the dependent current source denoted as \( 250v_{be} \). - A resistor of 8 Ω is situated in series with the voltage source and dependent current source. - The current \( i \) flows through the resistor and is marked with an arrow to indicate direction. #### Analysis: - **Dependent Current Calculation:** The current through the dependent source \( i_d \) is calculated as: \[ i_d = 250 \times v_{be} = 250 \times (5 \, \text{mV}) = 1250 \, \text{mA} = 1.25 \, \text{A} \] - **Current Direction Adjustment:** The current \( i \) through the circuit is the negative of \( i_d \) (due to direction): \[ i = -i_d = -1.25 \, \text{A} \] - **Voltage Across Resistor:** The voltage \( v \) across the 8 Ω resistor is given by: \[ v = i \times R = -1.25 \times 8 = -10 \, \text{V} \] - **Power Calculation:** The power \( p \) dissipated in the resistor is: \[ Power, \, p = v \times i = 12.5 \, \text{W} \quad \text{(all from the dependent source)} \] This power is entirely supplied by the dependent source and dissipated as heat in the 8 Ω resistor.
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