Homework Help is Here – Start Your Trial Now!
Science
Physics
e capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capa

e capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capa

College Physics
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)...
See similar textbooks
icon
Related questions
Question

The capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor.

Practice Exercises 2.6 1. You have five 10.0 F capacitors. Show all the possible connections for the five capacitors to produce a total capacitance of 50.0 F. Suppose the space between the plates of the capacitor in Sample Problem 2.6 item number 2 is filled with equal thicknesses of the same dielectrics but arranged as shown. What is its capacitance? 2. ++++++++ glass mica 3. The capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor.
Transcribed Image Text:Practice Exercises 2.6 1. You have five 10.0 F capacitors. Show all the possible connections for the five capacitors to produce a total capacitance of 50.0 F. Suppose the space between the plates of the capacitor in Sample Problem 2.6 item number 2 is filled with equal thicknesses of the same dielectrics but arranged as shown. What is its capacitance? 2. ++++++++ glass mica 3. The capacitors in Sample Problem 2.6 item number 3 are connected in parallel instead of being in series. The combination is connected to a 100 V line. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor.
Sample Problems 2.6 1. Given that C,=10.0 F, C,=5.0 F, and C;=4.0 F, find the total capacitance for each connection shown. (a) (Ь) (c) Given: C,=10.0 F C,=5.0 F C;=4.0 F Solution: C,, C2, and C, are in series. Therefore, а. 1 1 1 1 Crotal C, C, 1 1 1 1 Cotal 4.0 F 10.0 F 5.0 F 0.10 0.20 0.25 F F 1 0.55 F Cotal Cal =1.8 F b. C,, C2, and C3 are in parallel. Thus, Croual = G, +C, +C, total Ctal =10.0 F+5.0 F+4.0 F =19 F C, and C, are in series. Therefore, their combined capacitance C+2 is C. 1 1 1 1 0.10 0.20 0.30 C2 10.0 F 5.0 F F F F C+2 = 3.3 F This series combination of C, and C, is parallel to C3. Therefore, the total capacitance is Croral = C+2 + C; = 3.3 F + 4.0 F = 7.3 F A parallel plate capacitor is made up of two plates, each having an area of 8.0×10-4 m² and separated from each other by 5.0 mm. Half of the space between the plates is filled with glass and the other with mica. Find the capacitance of this capacitor. 2. ++++++++ glass mica Eglass = 7x10-" C?/N•m? Emica = 4.8×10-1" C²/N•m² Given: A = 8.0×10-4 m² d= 5.00 mm = 0.005 m Solution: The setup is considered as a parallel combination of two capacitors, each with area = 4.0×10-“ m², one with mica as dielectric, and the other with glass. Using Eq. (2.7), A (7×10 "C’/N ·m’) 4.0x10 m? = 5.6×10 1² F 26×10 ² F Cglass Eglass 0.005 m 4.0×10n 'm² = 3.84×10¬1² F 4×10¯1² F A Cmica =E, = (4.8×10"C’/N -n 2 /N•m³) Fmica 7 0.005 m C=C_ +Cia = 5.6×10¬1² F + 3.84×10-1² F=9.44×10¬1² F=9.4×10-1² F "glass Two capacitors with 2.0 F and 3.0 F capacitance, respectively, are connected in series and subjected to a total potential difference of 100 V. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor. 3. Given: C, = 2.0 F C2 = 3.0 F Solution: 1 1 1 1 1 0.5 0.33 0.83 a. Ccotal C ' C, 2.0 F 3.0 F F F F Ccotal =1.2 F "A" I rotal = Cotal Vcoral = (1.2 F)(100 V)=120 C Since the capacitors are in series, qotal = 120 C=q, = q2. b. 120 C V across 2.0 F capacitor = = 60 V с. 2.0 F 120 C V across 3.0 F capacitor =- C, = 40 V 3.0 F
Transcribed Image Text:Sample Problems 2.6 1. Given that C,=10.0 F, C,=5.0 F, and C;=4.0 F, find the total capacitance for each connection shown. (a) (Ь) (c) Given: C,=10.0 F C,=5.0 F C;=4.0 F Solution: C,, C2, and C, are in series. Therefore, а. 1 1 1 1 Crotal C, C, 1 1 1 1 Cotal 4.0 F 10.0 F 5.0 F 0.10 0.20 0.25 F F 1 0.55 F Cotal Cal =1.8 F b. C,, C2, and C3 are in parallel. Thus, Croual = G, +C, +C, total Ctal =10.0 F+5.0 F+4.0 F =19 F C, and C, are in series. Therefore, their combined capacitance C+2 is C. 1 1 1 1 0.10 0.20 0.30 C2 10.0 F 5.0 F F F F C+2 = 3.3 F This series combination of C, and C, is parallel to C3. Therefore, the total capacitance is Croral = C+2 + C; = 3.3 F + 4.0 F = 7.3 F A parallel plate capacitor is made up of two plates, each having an area of 8.0×10-4 m² and separated from each other by 5.0 mm. Half of the space between the plates is filled with glass and the other with mica. Find the capacitance of this capacitor. 2. ++++++++ glass mica Eglass = 7x10-" C?/N•m? Emica = 4.8×10-1" C²/N•m² Given: A = 8.0×10-4 m² d= 5.00 mm = 0.005 m Solution: The setup is considered as a parallel combination of two capacitors, each with area = 4.0×10-“ m², one with mica as dielectric, and the other with glass. Using Eq. (2.7), A (7×10 "C’/N ·m’) 4.0x10 m? = 5.6×10 1² F 26×10 ² F Cglass Eglass 0.005 m 4.0×10n 'm² = 3.84×10¬1² F 4×10¯1² F A Cmica =E, = (4.8×10"C’/N -n 2 /N•m³) Fmica 7 0.005 m C=C_ +Cia = 5.6×10¬1² F + 3.84×10-1² F=9.44×10¬1² F=9.4×10-1² F "glass Two capacitors with 2.0 F and 3.0 F capacitance, respectively, are connected in series and subjected to a total potential difference of 100 V. Find the (a) total capacitance, (b) charge stored in each capacitor, and (c) potential difference across each capacitor. 3. Given: C, = 2.0 F C2 = 3.0 F Solution: 1 1 1 1 1 0.5 0.33 0.83 a. Ccotal C ' C, 2.0 F 3.0 F F F F Ccotal =1.2 F "A" I rotal = Cotal Vcoral = (1.2 F)(100 V)=120 C Since the capacitors are in series, qotal = 120 C=q, = q2. b. 120 C V across 2.0 F capacitor = = 60 V с. 2.0 F 120 C V across 3.0 F capacitor =- C, = 40 V 3.0 F
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
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.
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
SEE MORE TEXTBOOKS