R1 www VSupply R3 R2
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
![**Question:**
For the series circuit given, the resistors are as follows: \( R_1 = 3 \text{k}\Omega \), \( R_2 = 400 \Omega \), \( R_3 = 600 \Omega \), and the voltage is 12 Volts. What is the total current of the circuit?
**Diagram Explanation:**
The diagram depicts a series circuit with a voltage supply labeled \( V_{\text{supply}} \) and three resistors: \( R_1 \), \( R_2 \), and \( R_3 \), connected one after the other. The positive terminal of the voltage supply is connected to one end of \( R_1 \), and the negative terminal is connected to the opposite side of \( R_3 \).
**Answer Options:**
- \( 2.4 \text{ m-Amp} \)
- \( 3.6 \text{ m-Amp} \)
- \( 1.2 \text{ m-Amp} \)
- \( 3.0 \text{ m-Amp} \)
**Explanation:**
To find the total current, use Ohm's Law: \( I = \frac{V}{R_{\text{total}}} \). First, calculate the total resistance:
\[ R_{\text{total}} = R_1 + R_2 + R_3 = 3000 \Omega + 400 \Omega + 600 \Omega = 4000 \Omega \]
Then, calculate the current:
\[ I = \frac{12 \text{ V}}{4000 \Omega} = 0.003 \text{ A} = 3.0 \text{ m-Amp} \]
**Correct Answer:**
- \( 3.0 \text{ m-Amp} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b551779-a94f-4658-8ab9-cb1269496a60%2F0da4baab-11db-4871-a920-6a9d9a9ded9e%2Frcn5xgt_processed.png&w=3840&q=75)
Transcribed Image Text:**Question:**
For the series circuit given, the resistors are as follows: \( R_1 = 3 \text{k}\Omega \), \( R_2 = 400 \Omega \), \( R_3 = 600 \Omega \), and the voltage is 12 Volts. What is the total current of the circuit?
**Diagram Explanation:**
The diagram depicts a series circuit with a voltage supply labeled \( V_{\text{supply}} \) and three resistors: \( R_1 \), \( R_2 \), and \( R_3 \), connected one after the other. The positive terminal of the voltage supply is connected to one end of \( R_1 \), and the negative terminal is connected to the opposite side of \( R_3 \).
**Answer Options:**
- \( 2.4 \text{ m-Amp} \)
- \( 3.6 \text{ m-Amp} \)
- \( 1.2 \text{ m-Amp} \)
- \( 3.0 \text{ m-Amp} \)
**Explanation:**
To find the total current, use Ohm's Law: \( I = \frac{V}{R_{\text{total}}} \). First, calculate the total resistance:
\[ R_{\text{total}} = R_1 + R_2 + R_3 = 3000 \Omega + 400 \Omega + 600 \Omega = 4000 \Omega \]
Then, calculate the current:
\[ I = \frac{12 \text{ V}}{4000 \Omega} = 0.003 \text{ A} = 3.0 \text{ m-Amp} \]
**Correct Answer:**
- \( 3.0 \text{ m-Amp} \)
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