Problem 1 - For the circuit below, determine the voltages across C₁ and C₂ and the currents through L₁, L2 and L3 under D.C. conditions. (Note: There is no switching and all conditions have been going for a while.) 2 ΚΩ L3= 1 mH m L₁ = 0.2 mH m L2 = 0.5 mH C₁ = 10 μF + 1 4 ΚΩ 6 ΚΩ C₂=4 μF 24 V
Problem 1 - For the circuit below, determine the voltages across C₁ and C₂ and the currents through L₁, L2 and L3 under D.C. conditions. (Note: There is no switching and all conditions have been going for a while.) 2 ΚΩ L3= 1 mH m L₁ = 0.2 mH m L2 = 0.5 mH C₁ = 10 μF + 1 4 ΚΩ 6 ΚΩ C₂=4 μF 24 V
Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter7: Parallel Circuits
Section: Chapter Questions
Problem 3PP: Using the rules for parallel circuits and Ohmslaw, solve for the missing values....
Related questions
Question
![**Problem 1 –** For the circuit below, determine the voltages across C₁ and C₂ and the currents through L₁, L₂, and L₃ under D.C. conditions. (**Note:** There is no switching and all conditions have been going for a while.)
### Circuit Diagram Description:
- **Resistors:**
- There is a 2 kΩ resistor connected in series.
- There is a 6 kΩ resistor connected in series.
- There is a 4 kΩ resistor connected in parallel with the capacitors and inductors.
- **Inductors:**
- \( L₁ = 0.2 \text{ mH} \)
- \( L₂ = 0.5 \text{ mH} \)
- \( L₃ = 1 \text{ mH} \)
- **Capacitors:**
- \( C₁ = 10 \text{ μF} \)
- \( C₂ = 4 \text{ μF} \)
- **Power Supply:**
- A 24 V DC voltage source.
### Diagram Analysis:
The circuit consists of a series and parallel combination of resistors, inductors, capacitors, and a DC voltage source. The resistances and inductances are given in kΩ and mH respectively which are higher orders of ohms and henries.
- The 2 kΩ resistor is placed in series with the inductances \( L₁ \) and \( L₃ \) and another 6 kΩ resistor.
- The 4 kΩ resistor is placed in parallel with the capacitor \( C₁ \) and in series with the capacitor \( C₂ \).
- A 24 V power supply is connected across the entire circuit.
### Detailed Explanation:
Under DC conditions (steady state) for a long time:
- Inductors (L) behave as short circuits (0 Ω resistance).
- Capacitors (C) behave as open circuits (infinite resistance).
Given these considerations and analysis of the DC behavior:
1. **Voltage across Capacitors (C₁ and C₂):**
- Capacitors in steady-state act as open circuits, meaning they will hold the voltage constant when charged.
- The voltage across \( C₂ \) would be the same as the supply voltage if it's directly connected.
2. **Currents through Inductors](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd23cf25f-e0e1-420e-8dcb-8ea8662c7deb%2Fcf55a396-3bd1-4f79-9758-86bdd8d7b7c4%2Fjwm2ks_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem 1 –** For the circuit below, determine the voltages across C₁ and C₂ and the currents through L₁, L₂, and L₃ under D.C. conditions. (**Note:** There is no switching and all conditions have been going for a while.)
### Circuit Diagram Description:
- **Resistors:**
- There is a 2 kΩ resistor connected in series.
- There is a 6 kΩ resistor connected in series.
- There is a 4 kΩ resistor connected in parallel with the capacitors and inductors.
- **Inductors:**
- \( L₁ = 0.2 \text{ mH} \)
- \( L₂ = 0.5 \text{ mH} \)
- \( L₃ = 1 \text{ mH} \)
- **Capacitors:**
- \( C₁ = 10 \text{ μF} \)
- \( C₂ = 4 \text{ μF} \)
- **Power Supply:**
- A 24 V DC voltage source.
### Diagram Analysis:
The circuit consists of a series and parallel combination of resistors, inductors, capacitors, and a DC voltage source. The resistances and inductances are given in kΩ and mH respectively which are higher orders of ohms and henries.
- The 2 kΩ resistor is placed in series with the inductances \( L₁ \) and \( L₃ \) and another 6 kΩ resistor.
- The 4 kΩ resistor is placed in parallel with the capacitor \( C₁ \) and in series with the capacitor \( C₂ \).
- A 24 V power supply is connected across the entire circuit.
### Detailed Explanation:
Under DC conditions (steady state) for a long time:
- Inductors (L) behave as short circuits (0 Ω resistance).
- Capacitors (C) behave as open circuits (infinite resistance).
Given these considerations and analysis of the DC behavior:
1. **Voltage across Capacitors (C₁ and C₂):**
- Capacitors in steady-state act as open circuits, meaning they will hold the voltage constant when charged.
- The voltage across \( C₂ \) would be the same as the supply voltage if it's directly connected.
2. **Currents through Inductors
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
![Delmar's Standard Textbook Of Electricity](https://www.bartleby.com/isbn_cover_images/9781337900348/9781337900348_smallCoverImage.jpg)
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning