**Exercise 22: Analysis of Resistive Network (Fig. 7.85)**For the network shown in Figure 7.85, perform the following tasks:a. **Determine RT** by combining the resistive elements in the given circuit.b. **Find V1 and V4**, the voltages across the specified points in the circuit.c. **Calculate I3**, ensuring the correct direction is noted.d. **Determine Is** by analyzing the current through each element using Kirchhoff’s current law. Subsequently, calculate the total resistance (RT) using the formula $RT = \frac{E}{Is}$.---### Diagram Explanation- **Resistors:** - $ R_1 = 16 \, \Omega $ - $ R_2 = 8 \, \Omega $ - $ R_3 = 32 \, \Omega $ - $ R_4 = 16 \, \Omega $ - **Current:** - The current $ I_3 $ flows through $ R_3 $.- **Voltage Source:** - The battery provides a voltage $ E = 32 \, V$.- **Other Points:** - Voltage points $ V_1 $ and $ V_4 $ are indicated across specific resistors or nodes within the circuit.### Circuit ConfigurationThe circuit consists of four resistors arranged partially in series and parallel combinations, with a voltage source of 32 volts connected to them. The analysis involves applying fundamental principles such as series-parallel resistance combinations and Kirchhoff’s laws to solve for the desired electrical parameters.

Answered: Image /qna-images/answer/b99465aa-00ad-4f6c-85be-81177fe5cbcc.jpg

22. For the network in Fig. 7.85: a. b. C. d. Determine RT by combining resistive elements. Find V1 and V4. Calculate 13 (with direction). Determine Is by finding the current through each element and then applying Kirchhoff's current law. Then calculate RT from RT=E/Is + V₁- R₁ ww 16 Q2 R₂ www 8 Ω 13 RT R₂ www 4 Ω + E 32 V + V₁ R₁ www 32 02 1₂ R$ ww 16 Ω HI

22. For the network in Fig. 7.85: a. b. C. d. Determine RT by combining resistive elements. Find V1 and V4. Calculate 13 (with direction). Determine Is by finding the current through each element and then applying Kirchhoff's current law. Then calculate RT from RT=E/Is + V₁- R₁ ww 16 Q2 R₂ www 8 Ω 13 RT R₂ www 4 Ω + E 32 V + V₁ R₁ www 32 02 1₂ R$ ww 16 Ω HI

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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Question

**Exercise 22: Analysis of Resistive Network (Fig. 7.85)**

For the network shown in Figure 7.85, perform the following tasks:

a. **Determine RT** by combining the resistive elements in the given circuit.

b. **Find V1 and V4**, the voltages across the specified points in the circuit.

c. **Calculate I3**, ensuring the correct direction is noted.

d. **Determine Is** by analyzing the current through each element using Kirchhoff’s current law. Subsequently, calculate the total resistance (RT) using the formula $RT = \frac{E}{Is}$.

---

### Diagram Explanation

- **Resistors:**
- $ R_1 = 16 \, \Omega $
- $ R_2 = 8 \, \Omega $
- $ R_3 = 32 \, \Omega $
- $ R_4 = 16 \, \Omega $

- **Current:**
- The current $ I_3 $ flows through $ R_3 $.

- **Voltage Source:**
- The battery provides a voltage $ E = 32 \, V$.

- **Other Points:**
- Voltage points $ V_1 $ and $ V_4 $ are indicated across specific resistors or nodes within the circuit.

### Circuit Configuration

The circuit consists of four resistors arranged partially in series and parallel combinations, with a voltage source of 32 volts connected to them. The analysis involves applying fundamental principles such as series-parallel resistance combinations and Kirchhoff’s laws to solve for the desired electrical parameters.

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