Need help with Question 19 ### Figure 7.49: Circuit Analysis and Thevenin Equivalent**Exercises:****18.** Derive the Thevenin equivalent of the circuit shown in Figure 7.48b.**19.** The circuit shown in Figure 7.49 has a load with a range of \( R_L = 100 \, \Omega \) to \( 1 \, \text{k}\Omega \). Determine the normal range of \( V_L \) for the circuit using its Thevenin equivalent.#### Description of Circuits:**Figure 7.49:**- **Diagram (a):** - **Components:** - Voltage Source (\( V_S \)): 20 V - Resistors: - \( R_1 = 3.3 \, \text{k}\Omega \) - \( R_2 = 2.2 \, \text{k}\Omega \) - \( R_3 = 1 \, \text{k}\Omega \) - Load Resistor (\( R_L \))- **Diagram (b):** - **Components:** - Voltage Source (\( V_S \)): 9 V - Resistors: - \( R_1 = 120 \, \Omega \) - \( R_2 = 200 \, \Omega \) - \( R_3 = 100 \, \Omega \) - Load Resistor (\( R_L \))### Detailed Analysis:These circuits are designed to analyze the Thevenin equivalent to simplify complex networks. By reducing the circuit to a simplified version (voltage source and series resistor), analysis becomes more straightforward, especially when determining the effect of varying load resistances \( R_L \).- **Thevenin's Theorem:** - This technique helps in analyzing the voltages and currents in components of electrical circuits. For circuits with varying load resistances, this simplification is crucial for efficient analysis.Understanding the Thevenin equivalent involves calculating the open-circuit voltage across the load terminals and the equivalent series resistance seen by the load. Adjustments to \( R_L \) will then affect the load voltage \( V_L \), which can be calculated using this simplified model.

In this question, Find the voltage VL using the Thevenin theorem if load resistance RL varry 100…

Answered: 19. The circuit shown in Figure 7,49u…

19. The circuit shown in Figure 7,49u has a load with a range of R- 100n to I kfl. Determine the normal range of V, for the circuit using its Thevenin equivalent.

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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Concept explainers

Thermistors

A thermistor is a special type of resistor whose resistance is more temperature-dependent than standard resistors. The resistance of the thermistor decreases with increasing temperature. This is the basic principle of thermistors. This allows the thermistor circuit to detect very small temperature changes that cannot be observed with the Resistance temperature detectors (RTDs) or the thermocouples. Since the resistance of a thermistor is temperature dependent, it can be connected to an electrical circuit to measure body temperature. This high sensitivity to temperature changes makes thermistors very useful for accurately controlling and calibrating temperature measurements. In general, resistance increases with increasing temperature in most metals, but thermistors react negatively.

Question

Need help with Question 19

### Figure 7.49: Circuit Analysis and Thevenin Equivalent

**Exercises:**

**18.** Derive the Thevenin equivalent of the circuit shown in Figure 7.48b.

**19.** The circuit shown in Figure 7.49 has a load with a range of \( R_L = 100 \, \Omega \) to \( 1 \, \text{k}\Omega \). Determine the normal range of \( V_L \) for the circuit using its Thevenin equivalent.

#### Description of Circuits:

**Figure 7.49:**

- **Diagram (a):**
- **Components:**
- Voltage Source (\( V_S \)): 20 V
- Resistors:
- \( R_1 = 3.3 \, \text{k}\Omega \)
- \( R_2 = 2.2 \, \text{k}\Omega \)
- \( R_3 = 1 \, \text{k}\Omega \)
- Load Resistor (\( R_L \))

- **Diagram (b):**
- **Components:**
- Voltage Source (\( V_S \)): 9 V
- Resistors:
- \( R_1 = 120 \, \Omega \)
- \( R_2 = 200 \, \Omega \)
- \( R_3 = 100 \, \Omega \)
- Load Resistor (\( R_L \))

### Detailed Analysis:

These circuits are designed to analyze the Thevenin equivalent to simplify complex networks. By reducing the circuit to a simplified version (voltage source and series resistor), analysis becomes more straightforward, especially when determining the effect of varying load resistances \( R_L \).

- **Thevenin's Theorem:**
- This technique helps in analyzing the voltages and currents in components of electrical circuits. For circuits with varying load resistances, this simplification is crucial for efficient analysis.

Understanding the Thevenin equivalent involves calculating the open-circuit voltage across the load terminals and the equivalent series resistance seen by the load. Adjustments to \( R_L \) will then affect the load voltage \( V_L \), which can be calculated using this simplified model.

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