Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
Bartleby Related Questions Icon

Related questions

Question
### Series-Parallel Circuit Analysis

**Objective:**
To analyze a circuit consisting of a 9.0 V battery connected to three resistors, and to carry out the following tasks:
a. Draw the equivalent simplified circuit diagram.
b. Determine the current drawn from the battery.
c. Calculate the voltage across and the current through each resistor, and present the values in a table.

**Circuit Description:**
The circuit consists of three resistors:
1. \( R1 = 50 \Omega \)
2. \( R2 = 100 \Omega \)
3. \( R3 = 75 \Omega \)

**Diagram Analysis:**
The provided circuit diagram shows the 9.0 V battery connected to a combination of resistors arranged in a mixed series-parallel configuration.

- Resistor \( R1 \) and \( R2 \) are arranged in parallel.
- The combination of \( R1 \) and \( R2 \) is then connected in series with \( R3 \).

#### a. Simplified Circuit Diagram
To simplify the circuit:
1. Calculate the equivalent resistance \( R_{12} \) of the parallel combination of \( R1 \) and \( R2 \):

\[
\frac{1}{R_{12}} = \frac{1}{R1} + \frac{1}{R2}
\]
\[
\frac{1}{R_{12}} = \frac{1}{50 \Omega} + \frac{1}{100 \Omega}
\]
\[
R_{12} = \left( \frac{1}{\frac{1}{50} + \frac{1}{100}} \right) \Omega
\]
\[
R_{12} =  \left( \frac{1}{0.03}  \right) \Omega =  33.33 \Omega
\]

2. The equivalent resistance (\( R_{Total} \)) for the entire circuit, which is \( R_{12} \) in series with \( R3 \):

\[
R_{Total} = R_{12} + R3 = 33.33 \Omega + 75 \Omega = 108.33 \Omega
\]

#### b. Current Drawn from the Battery
Using Ohm's Law:

\[
I = \frac{V}{R_{Total}}
\]
\[
I = \frac{9.0 V}{
expand button
Transcribed Image Text:### Series-Parallel Circuit Analysis **Objective:** To analyze a circuit consisting of a 9.0 V battery connected to three resistors, and to carry out the following tasks: a. Draw the equivalent simplified circuit diagram. b. Determine the current drawn from the battery. c. Calculate the voltage across and the current through each resistor, and present the values in a table. **Circuit Description:** The circuit consists of three resistors: 1. \( R1 = 50 \Omega \) 2. \( R2 = 100 \Omega \) 3. \( R3 = 75 \Omega \) **Diagram Analysis:** The provided circuit diagram shows the 9.0 V battery connected to a combination of resistors arranged in a mixed series-parallel configuration. - Resistor \( R1 \) and \( R2 \) are arranged in parallel. - The combination of \( R1 \) and \( R2 \) is then connected in series with \( R3 \). #### a. Simplified Circuit Diagram To simplify the circuit: 1. Calculate the equivalent resistance \( R_{12} \) of the parallel combination of \( R1 \) and \( R2 \): \[ \frac{1}{R_{12}} = \frac{1}{R1} + \frac{1}{R2} \] \[ \frac{1}{R_{12}} = \frac{1}{50 \Omega} + \frac{1}{100 \Omega} \] \[ R_{12} = \left( \frac{1}{\frac{1}{50} + \frac{1}{100}} \right) \Omega \] \[ R_{12} = \left( \frac{1}{0.03} \right) \Omega = 33.33 \Omega \] 2. The equivalent resistance (\( R_{Total} \)) for the entire circuit, which is \( R_{12} \) in series with \( R3 \): \[ R_{Total} = R_{12} + R3 = 33.33 \Omega + 75 \Omega = 108.33 \Omega \] #### b. Current Drawn from the Battery Using Ohm's Law: \[ I = \frac{V}{R_{Total}} \] \[ I = \frac{9.0 V}{
Expert Solution
Check Mark
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Text book image
University Physics Volume 2
Physics
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Text book image
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning