Cs C4- C3 C6 (a) Capacitor C, is in neither v with capacitor C2. (b) Capacitor C, is in series | with capacitor Cg. (c) Capacitor C, is in -select- v with capacitor Cg.

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)...
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**Educational Circuit Analysis Exercise**

*Use the following circuit diagram to answer the questions provided.*

### Circuit Diagram:
The circuit consists of six capacitors labeled \( C_1, C_2, C_3, C_4, C_5, \) and \( C_6 \). They are connected in a combination of series and parallel arrangements. Each capacitor is represented by its standard symbol with a pair of parallel lines, and the connections are depicted by solid lines.

### Questions:

(a) Capacitor \( C_1 \) is in _____ with capacitor \( C_2 \).

- Options: parallel, series, neither

(b) Capacitor \( C_4 \) is in _____ with capacitor \( C_6 \).

- Options: parallel, series

(c) Capacitor \( C_1 \) is in _____ with capacitor \( C_6 \).

- Options: parallel, series

(d) Capacitor \( C_3 \) is in _____ with capacitor \( C_5 \).

- Options: parallel, series

(e) Capacitor \( C_4 \) is in _____ with capacitor \( C_5 \).

- Options: parallel, series

(f) Capacitor \( C_4 \) has the same voltage difference as (Select all that apply):

- \( C_1 \)
- \( C_2 \)
- \( C_3 \)
- \( C_5 \)
- \( C_6 \)

(g) Capacitor \( C_5 \) has the same charge as (Select all that apply):

- \( C_1 \)
- \( C_2 \)
- \( C_3 \)
- \( C_4 \)
- \( C_6 \)

(h) True or false: The voltage difference across \( C_4 \) plus the voltage difference across \( C_6 \) is equal to the voltage difference across the battery.

- Options: True, False

**Note:** Select the appropriate choices from the dropdown or checkboxes where provided. Use this exercise to deepen your understanding of the relationships between series and parallel capacitors in electrical circuits.
Transcribed Image Text:**Educational Circuit Analysis Exercise** *Use the following circuit diagram to answer the questions provided.* ### Circuit Diagram: The circuit consists of six capacitors labeled \( C_1, C_2, C_3, C_4, C_5, \) and \( C_6 \). They are connected in a combination of series and parallel arrangements. Each capacitor is represented by its standard symbol with a pair of parallel lines, and the connections are depicted by solid lines. ### Questions: (a) Capacitor \( C_1 \) is in _____ with capacitor \( C_2 \). - Options: parallel, series, neither (b) Capacitor \( C_4 \) is in _____ with capacitor \( C_6 \). - Options: parallel, series (c) Capacitor \( C_1 \) is in _____ with capacitor \( C_6 \). - Options: parallel, series (d) Capacitor \( C_3 \) is in _____ with capacitor \( C_5 \). - Options: parallel, series (e) Capacitor \( C_4 \) is in _____ with capacitor \( C_5 \). - Options: parallel, series (f) Capacitor \( C_4 \) has the same voltage difference as (Select all that apply): - \( C_1 \) - \( C_2 \) - \( C_3 \) - \( C_5 \) - \( C_6 \) (g) Capacitor \( C_5 \) has the same charge as (Select all that apply): - \( C_1 \) - \( C_2 \) - \( C_3 \) - \( C_4 \) - \( C_6 \) (h) True or false: The voltage difference across \( C_4 \) plus the voltage difference across \( C_6 \) is equal to the voltage difference across the battery. - Options: True, False **Note:** Select the appropriate choices from the dropdown or checkboxes where provided. Use this exercise to deepen your understanding of the relationships between series and parallel capacitors in electrical circuits.
Expert Solution
Step 1

Solution:

a) Capacitor C1 is in Series with capacitor C2

explanation: because C1 and C6 as combinedly in series with C4, C2, C3, C5, once we apply the series and parallel calculation across the circuit

b) Capacitor C4 is in Series with capacitor C6

explanation: clearly shown in the circuit that these are in series 

Physics homework question answer, step 1, image 1

c) Capacitor C1 is in Parallel with capacitor C6

explanation: clearly shown in the circuit that these are in parallel, we can see in the below image, we separate it from the circuit and analysis

Physics homework question answer, step 1, image 2

d) Capacitor C3 is in Series with capacitor C5

explanation: we can see in the below image, we separate it from the circuit and analysis

Physics homework question answer, step 1, image 3

e) Capacitor C4 is in Parallel with capacitor C5

explanation: we can see in the below image, we separate it from the circuit and analysis

Physics homework question answer, step 1, image 4

f) Capacitor C4 has same voltage difference as Capacitor C2 as they are directly in parallel

e) capacitor C5 has same voltage difference as C3 (only in case all capacitor has same capacity)

h) it is True

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