### Electrical Circuit Analysis #### Circuit Diagram A simple parallel circuit is shown with a 12V battery connected to two resistors: one with a resistance of 2 ohms and another with a resistance of 3 ohms. #### Questions and Analysis **A) Fill in a VIPR table for this circuit:** | Device | Voltage (V) | Current (I) | Resistance (R) | Power (P) | |--------------|-------------|-------------|----------------|---------------| | 2 ohm bulb | | | 2 ohm | | | 3 ohm bulb | | | 3 ohm | | | Battery | | | | | To complete this table, calculate the voltage, current, and power for each resistor. **B) Is the 2 ohm or 3 ohm bulb brighter? Briefly explain or show calculations to prove your answer.** To determine brightness: - **Power (P)** must be calculated using the formula: \( P = \frac{V^2}{R} \). For the 2-ohm bulb: \( P_{2 ohm} = \frac{12V^2}{2 \Omega} = \frac{144}{2} = 72W \) For the 3-ohm bulb: \( P_{3 ohm} = \frac{12V^2}{3 \Omega} = \frac{144}{3} = 48W \) Thus, the 2-ohm bulb is brighter, as it has a higher power dissipation of 72W compared to 48W for the 3-ohm bulb. **C) If you attached a third lightbulb in parallel to the other two, how would it affect the brightness of the 2 ohm lightbulb?** In a parallel circuit, the voltage across each branch remains unchanged. Adding a third lightbulb in parallel will not affect the voltage across the 2-ohm lightbulb. Consequently, the brightness of the 2-ohm lightbulb will remain the same. --- This analysis helps in understanding the behavior of parallel circuits and the distribution of voltage, current, and power within them. Proper understanding of these concepts is crucial for designing efficient electrical systems and devices.
### Electrical Circuit Analysis #### Circuit Diagram A simple parallel circuit is shown with a 12V battery connected to two resistors: one with a resistance of 2 ohms and another with a resistance of 3 ohms. #### Questions and Analysis **A) Fill in a VIPR table for this circuit:** | Device | Voltage (V) | Current (I) | Resistance (R) | Power (P) | |--------------|-------------|-------------|----------------|---------------| | 2 ohm bulb | | | 2 ohm | | | 3 ohm bulb | | | 3 ohm | | | Battery | | | | | To complete this table, calculate the voltage, current, and power for each resistor. **B) Is the 2 ohm or 3 ohm bulb brighter? Briefly explain or show calculations to prove your answer.** To determine brightness: - **Power (P)** must be calculated using the formula: \( P = \frac{V^2}{R} \). For the 2-ohm bulb: \( P_{2 ohm} = \frac{12V^2}{2 \Omega} = \frac{144}{2} = 72W \) For the 3-ohm bulb: \( P_{3 ohm} = \frac{12V^2}{3 \Omega} = \frac{144}{3} = 48W \) Thus, the 2-ohm bulb is brighter, as it has a higher power dissipation of 72W compared to 48W for the 3-ohm bulb. **C) If you attached a third lightbulb in parallel to the other two, how would it affect the brightness of the 2 ohm lightbulb?** In a parallel circuit, the voltage across each branch remains unchanged. Adding a third lightbulb in parallel will not affect the voltage across the 2-ohm lightbulb. Consequently, the brightness of the 2-ohm lightbulb will remain the same. --- This analysis helps in understanding the behavior of parallel circuits and the distribution of voltage, current, and power within them. Proper understanding of these concepts is crucial for designing efficient electrical systems and devices.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Question
Transcribed Image Text:### Electrical Circuit Analysis
#### Circuit Diagram
A simple parallel circuit is shown with a 12V battery connected to two resistors: one with a resistance of 2 ohms and another with a resistance of 3 ohms.
#### Questions and Analysis
**A) Fill in a VIPR table for this circuit:**
| Device | Voltage (V) | Current (I) | Resistance (R) | Power (P) |
|--------------|-------------|-------------|----------------|---------------|
| 2 ohm bulb | | | 2 ohm | |
| 3 ohm bulb | | | 3 ohm | |
| Battery | | | | |
To complete this table, calculate the voltage, current, and power for each resistor.
**B) Is the 2 ohm or 3 ohm bulb brighter? Briefly explain or show calculations to prove your answer.**
To determine brightness:
- **Power (P)** must be calculated using the formula: \( P = \frac{V^2}{R} \).
For the 2-ohm bulb:
\( P_{2 ohm} = \frac{12V^2}{2 \Omega} = \frac{144}{2} = 72W \)
For the 3-ohm bulb:
\( P_{3 ohm} = \frac{12V^2}{3 \Omega} = \frac{144}{3} = 48W \)
Thus, the 2-ohm bulb is brighter, as it has a higher power dissipation of 72W compared to 48W for the 3-ohm bulb.
**C) If you attached a third lightbulb in parallel to the other two, how would it affect the brightness of the 2 ohm lightbulb?**
In a parallel circuit, the voltage across each branch remains unchanged. Adding a third lightbulb in parallel will not affect the voltage across the 2-ohm lightbulb. Consequently, the brightness of the 2-ohm lightbulb will remain the same.
---
This analysis helps in understanding the behavior of parallel circuits and the distribution of voltage, current, and power within them. Proper understanding of these concepts is crucial for designing efficient electrical systems and devices.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON