For the circuit shown below, the total resistance is 2 k. Given that R3 is double R2, and the parallel equivalent of R2 & R3 is double R1, then calculate: a. R₁, R2, R3 b. The current through R₂ V S 12V R1 W R2 R3
For the circuit shown below, the total resistance is 2 k. Given that R3 is double R2, and the parallel equivalent of R2 & R3 is double R1, then calculate: a. R₁, R2, R3 b. The current through R₂ V S 12V R1 W R2 R3
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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**Circuit Analysis Problem:**
For the circuit shown below, the total resistance is 2 kΩ. Given that R3 is double R2, and the parallel equivalent of R2 & R3 is double R1, then calculate:
a. R1, R2, R3
b. The current through R2
**Circuit Diagram Explanation:**
The diagram displays a simple electrical circuit with three resistors (R1, R2, and R3) connected in parallel. The source voltage (Vs) is 12V.
1. **Resistor R1** is connected directly in parallel with R2 and R3.
2. **Resistor R2** is connected directly between the nodes in parallel with R1 and R3.
3. **Resistor R3** is also connected in parallel with R1 and R2.
According to the problem's conditions:
- \( R3 = 2R2 \)
- The parallel combination of \( R2 \) and \( R3 \) is equal to double \( R1 \).
The goal is to determine the resistance values of \( R1 \), \( R2 \), and \( R3 \), and the current flowing through \( R2 \).
**Task:** Use the provided conditions and circuit relationships to solve for the resistance values and current.
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