10. Calculate the total resistance RTOTAL Of the Series-Parallel circuit below where R1 = 40 x 103 Ohms, R2 = 40 x 103 Ohms, R3 = 20 x 103 Ohms, R4 = 20 x 10³ Ohms. R1 R2 R3 R4 11. Calculate the voltage when the resistance is 50 x 103 Ohms and the current is 25 x 10-3 Amps. 12. Calculate the current when the voltage is 5 Volts and the resistance is 5 x 106 Ohms.
10. Calculate the total resistance RTOTAL Of the Series-Parallel circuit below where R1 = 40 x 103 Ohms, R2 = 40 x 103 Ohms, R3 = 20 x 103 Ohms, R4 = 20 x 10³ Ohms. R1 R2 R3 R4 11. Calculate the voltage when the resistance is 50 x 103 Ohms and the current is 25 x 10-3 Amps. 12. Calculate the current when the voltage is 5 Volts and the resistance is 5 x 106 Ohms.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter6: Power Flows
Section: Chapter Questions
Problem 6.61P
Related questions
Question
100%
![**Series-Parallel Circuit Analysis**
**Question 10:**
Calculate the total resistance \( R_{\text{TOTAL}} \) of the Series-Parallel circuit below where:
- \( R1 = 40 \times 10^3 \) Ohms
- \( R2 = 40 \times 10^3 \) Ohms
- \( R3 = 20 \times 10^3 \) Ohms
- \( R4 = 20 \times 10^3 \) Ohms
**Circuit Diagram:**
The provided circuit is a combination of resistors arranged in both series and parallel configurations.
- **R1** and **R2** are in series with each other.
- **R3** and **R4** are in parallel with each other, and this combination is in series with the \( R1 \text{ and } R2 \) series.
To find the total resistance of the circuit:
1. Calculate the total resistance of \( R3 \) and \( R4 \) in parallel:
\[
R_{\text{P}} = \left(\frac{1}{R3} + \frac{1}{R4}\right)^{-1} = \left(\frac{1}{20 \times 10^3} + \frac{1}{20 \times 10^3}\right)^{-1}
\]
2. Calculate the total resistance by adding \( R1, R2, \text{ and } R_{\text{P}} \):
\[
R_{\text{TOTAL}} = R1 + R2 + R_{\text{P}}
\]
**Question 11:**
Calculate the voltage when the resistance is \( 50 \times 10^3 \) Ohms and the current is \( 25 \times 10^{-3} \) Amps.
To find the voltage (\( V \)), use Ohm's Law:
\[
V = I \times R
\]
Where:
- \( I = 25 \times 10^{-3} \) Amps
- \( R = 50 \times 10^3 \) Ohms
**Question 12:**
Calculate the current when the voltage is 5 Volts and the resistance is \( 5 \times 10^6 \) Ohms.
To find the current (\( I \)), use Ohm's Law](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc0168238-e244-4a34-84ac-e572ee66fc4c%2Ff4e225a6-3aad-476d-b412-43b489a3f7f9%2Fl0n9bn_processed.png&w=3840&q=75)
Transcribed Image Text:**Series-Parallel Circuit Analysis**
**Question 10:**
Calculate the total resistance \( R_{\text{TOTAL}} \) of the Series-Parallel circuit below where:
- \( R1 = 40 \times 10^3 \) Ohms
- \( R2 = 40 \times 10^3 \) Ohms
- \( R3 = 20 \times 10^3 \) Ohms
- \( R4 = 20 \times 10^3 \) Ohms
**Circuit Diagram:**
The provided circuit is a combination of resistors arranged in both series and parallel configurations.
- **R1** and **R2** are in series with each other.
- **R3** and **R4** are in parallel with each other, and this combination is in series with the \( R1 \text{ and } R2 \) series.
To find the total resistance of the circuit:
1. Calculate the total resistance of \( R3 \) and \( R4 \) in parallel:
\[
R_{\text{P}} = \left(\frac{1}{R3} + \frac{1}{R4}\right)^{-1} = \left(\frac{1}{20 \times 10^3} + \frac{1}{20 \times 10^3}\right)^{-1}
\]
2. Calculate the total resistance by adding \( R1, R2, \text{ and } R_{\text{P}} \):
\[
R_{\text{TOTAL}} = R1 + R2 + R_{\text{P}}
\]
**Question 11:**
Calculate the voltage when the resistance is \( 50 \times 10^3 \) Ohms and the current is \( 25 \times 10^{-3} \) Amps.
To find the voltage (\( V \)), use Ohm's Law:
\[
V = I \times R
\]
Where:
- \( I = 25 \times 10^{-3} \) Amps
- \( R = 50 \times 10^3 \) Ohms
**Question 12:**
Calculate the current when the voltage is 5 Volts and the resistance is \( 5 \times 10^6 \) Ohms.
To find the current (\( I \)), use Ohm's Law
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 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Power System Analysis and Design (MindTap Course …
Electrical Engineering
ISBN:
9781305632134
Author:
J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:
Cengage Learning
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning