Each capacitor in the combination shown in the figure below (C = 19.0 µF) has a breakdown voltage of 22.0 V. What is the breakdown voltage of the combination? 20.0uE

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)...
icon
Related questions
Question
**Problem Statement:**

Each capacitor in the combination shown in the figure below (C = 19.0 µF) has a breakdown voltage of 22.0 V. What is the breakdown voltage of the combination?

**Figure Description:**

The diagram shows two sets of capacitors connected in parallel. The circuit can be described as follows:

1. On the left side, two 20.0 µF capacitors (let's call them \( C_1 \) and \( C_2 \)) are connected in parallel.
2. On the right side, another two 20.0 µF capacitors (let's call them \( C_3 \) and \( C_4 \)) are connected in parallel.
3. Between these two parallel combinations, there is a capacitor \( C \) with a capacitance of 19.0 µF connecting points \( a \) and \( b \).
4. The voltage breakdown for each individual capacitor is 22.0 V.

**Solution:**

To determine the breakdown voltage of the combination, follow these steps:

1. **Capacitors in Parallel:**
   - When capacitors are connected in parallel, their capacitances add up. Hence:
     \[
     C_{\text{parallel}} = C_1 + C_2 = 20.0 \text{ µF} + 20.0 \text{ µF} = 40.0 \text{ µF}
     \]
     Similarly, the right-side capacitors together also have a capacitance of 40.0 µF.

2. **New Configuration:**
   - Now, we have three capacitors (one of 40.0 µF, the middle capacitor \(C\) of 19.0 µF, and another of 40.0 µF) connected in series.

3. **Breakdown Voltage in Series:**
   - In a series configuration, the breakdown voltage is the sum of the individual breakdown voltages. Hence:
     \[
     V_{\text{breakdown total}} = V_1 + V_2 + V_3
     \]
     Each of the three capacitors has a voltage breakdown of 22.0 V.

**Calculation:**

So, the total breakdown voltage of the combination is:
\[
V_{\text{breakdown total}} = 22.0 \text{ V} + 22.0 \text{
Transcribed Image Text:**Problem Statement:** Each capacitor in the combination shown in the figure below (C = 19.0 µF) has a breakdown voltage of 22.0 V. What is the breakdown voltage of the combination? **Figure Description:** The diagram shows two sets of capacitors connected in parallel. The circuit can be described as follows: 1. On the left side, two 20.0 µF capacitors (let's call them \( C_1 \) and \( C_2 \)) are connected in parallel. 2. On the right side, another two 20.0 µF capacitors (let's call them \( C_3 \) and \( C_4 \)) are connected in parallel. 3. Between these two parallel combinations, there is a capacitor \( C \) with a capacitance of 19.0 µF connecting points \( a \) and \( b \). 4. The voltage breakdown for each individual capacitor is 22.0 V. **Solution:** To determine the breakdown voltage of the combination, follow these steps: 1. **Capacitors in Parallel:** - When capacitors are connected in parallel, their capacitances add up. Hence: \[ C_{\text{parallel}} = C_1 + C_2 = 20.0 \text{ µF} + 20.0 \text{ µF} = 40.0 \text{ µF} \] Similarly, the right-side capacitors together also have a capacitance of 40.0 µF. 2. **New Configuration:** - Now, we have three capacitors (one of 40.0 µF, the middle capacitor \(C\) of 19.0 µF, and another of 40.0 µF) connected in series. 3. **Breakdown Voltage in Series:** - In a series configuration, the breakdown voltage is the sum of the individual breakdown voltages. Hence: \[ V_{\text{breakdown total}} = V_1 + V_2 + V_3 \] Each of the three capacitors has a voltage breakdown of 22.0 V. **Calculation:** So, the total breakdown voltage of the combination is: \[ V_{\text{breakdown total}} = 22.0 \text{ V} + 22.0 \text{
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
DC circuits
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
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
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…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON