SlideShare a Scribd company logo
RC Circuits Physics 102:   Lecture 7
Recall …. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
RC Circuits ,[object Object],[object Object],[object Object],[object Object]
RC Circuits ,[object Object],[object Object],R K C S + + + R Na R Cl ε K ε Na ε Cl
Capacitors ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Charging Capacitors ,[object Object],[object Object], R C S
Charging Capacitors:  t=0 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object], R C S R 
Charging Capacitors:  t>0 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object], R C + - Demo R 
ACT/Preflight 7.1 ,[object Object],2R C  R S 2 1)  I b  = 0 2) I b  =  E   /(3R) 3) I b  =  E   /(2R) 4) I b  =  E   /R S 1 I b + - + + - -
ACT/Preflight 7.3  ,[object Object],1)  I b  = 0 2) I b  =  E /(3R) 3) I b  =  E /(2R) 4) I b  =  E /R 2R C  R S 2 S 1 I b + - + + - -
Discharging Capacitors ,[object Object],[object Object],R C S
Discharging Capacitors ,[object Object],[object Object],[object Object],[object Object],[object Object],R C + - Demo
ACT/Preflight 7.5 ,[object Object],1)  I R  = 0 2) I R  =    /(3R) 3) I R  =    /(2R) 4) I R  =    /R 2R C  R S 2 S 1 I R + - + + - - + -
ACT: RC Circuits ,[object Object],1)  Q = 0 2) Q = C  E  /3 3) Q  = C  E   /2 4) Q = C  E R 2R C  S 2 S 1 I R + - + + - - + -
RC Circuits: Charging ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],C    R S 1 S 2 + + + I - - - The switches are originally open and the capacitor is uncharged. Then switch S 1  is closed. t q RC 2RC 0 q 
RC Circuits: Discharging ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],C  R S 1 - + + I - + - S 2 q RC 2RC t
What is the time constant? ,[object Object],[object Object],[object Object]
Time Constant Demo ,[object Object],[object Object],[object Object],Each circuit has a 1 F capacitor charged to 100 Volts. When the switch is closed: 1 Example 2
Summary of Concepts ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Practice! Calculate current immediately after switch is closed: Calculate current after switch has been closed for 0.5 seconds: Calculate current after switch has been closed for a long time: Calculate charge on capacitor after switch has been closed for a long time: Example E  – I 0 R – q 0 /C = 0 + + + - - - E  – I 0 R – 0 = 0 I 0  =  E /R After a long time current through capacitor is zero! E  – IR – q ∞ /C = 0 E  – 0 – q ∞   /C   = 0 q ∞  =  E  C R C ε S 1 R=10  C=30 mF ε  =20 Volts   I
ACT: RC Challenge ,[object Object],1)  0.368 q 0   2) 0.632  q 0   3)  0.135 q 0   4) 0.865  q 0   R C ε 2R S 1 ε   = 24 Volts R = 2    C = 15 mF
Charging: Intermediate Times  Calculate the charge on the capacitor 3  10 -3  seconds after switch 1 is closed. ,[object Object],= q  (1-e - 3  10 -3   /(20  100  10 -6) ) )  = q   (0.78) Recall  q    =     C   = (50)(100x10 -6 ) (0.78) = 3.9 x10 -3  Coulombs R = 10     V = 50 Volts  C = 100  F Example 2R C R S 2 S 1 I b + - + + - -
RC Summary Charging Discharging q(t) = q  (1-e -t/RC ) q(t) = q 0 e -t/RC V(t) = V  (1-e -t/RC ) V(t) = V 0 e -t/RC I(t) = I 0 e -t/RC I(t) = I 0 e -t/RC Short term:  Charge doesn’t change (often zero or max) Long term:  Current through capacitor is zero. Time Constant    = RC  Large    means long time to charge/discharge

More Related Content

What's hot

Natural response for RC and RL
Natural response for RC and RLNatural response for RC and RL
Natural response for RC and RL
musadoto
 
Low pass filter and Integrator
Low pass filter and IntegratorLow pass filter and Integrator
Low pass filter and Integrator
George Cibi
 
Pulse and Digital Circuits - PHI Learning
Pulse and Digital Circuits - PHI LearningPulse and Digital Circuits - PHI Learning
Pulse and Digital Circuits - PHI Learning
PHI Learning Pvt. Ltd.
 
Growth of current R-L and R-C Series circuit
Growth of current R-L and R-C Series circuitGrowth of current R-L and R-C Series circuit
Growth of current R-L and R-C Series circuit
CENTER FOR HIGH ENERGY PHYSICS
 
Thyristor Commutation Techniques
Thyristor Commutation TechniquesThyristor Commutation Techniques
Thyristor Commutation Techniques
prathik
 
Lecture 28 lc, rlc circuits.
Lecture 28   lc, rlc circuits.Lecture 28   lc, rlc circuits.
Lecture 28 lc, rlc circuits.
Albania Energy Association
 
Rc and rl differentiator and integrator circuit
Rc and rl differentiator and integrator circuitRc and rl differentiator and integrator circuit
Rc and rl differentiator and integrator circuit
taranjeet10
 
AC in RC Circuits
AC in RC CircuitsAC in RC Circuits
AC in RC Circuits
amckaytghs
 
Step respponse of rlc circuit by Aditya Pratap Singh Delhi University
Step respponse of rlc circuit by Aditya Pratap Singh Delhi UniversityStep respponse of rlc circuit by Aditya Pratap Singh Delhi University
Step respponse of rlc circuit by Aditya Pratap Singh Delhi University
Aditya Pratap Singh
 
Lecture 29 ac circuits. phasors.
Lecture 29   ac circuits. phasors.Lecture 29   ac circuits. phasors.
Lecture 29 ac circuits. phasors.
Albania Energy Association
 
PARELLEL LC CIRCUIT
PARELLEL LC CIRCUITPARELLEL LC CIRCUIT
PARELLEL LC CIRCUIT
Hassansyed32
 
Armstrong oscillator
Armstrong oscillatorArmstrong oscillator
Armstrong oscillator
ayesha zaheer
 
Current commutated chopper
Current commutated chopperCurrent commutated chopper
Current commutated chopper
Jyoti Singh
 
waveshaping ckts
 waveshaping ckts waveshaping ckts
waveshaping ckts
vishal gupta
 
Three Phase Rectifier By Vivek Ahlawat
Three Phase Rectifier By Vivek AhlawatThree Phase Rectifier By Vivek Ahlawat
Three Phase Rectifier By Vivek Ahlawat
VIVEK AHLAWAT
 
Initial Conditions of Resistor, Inductor & Capacitor
Initial Conditions of Resistor, Inductor & CapacitorInitial Conditions of Resistor, Inductor & Capacitor
Initial Conditions of Resistor, Inductor & Capacitor
Jayanshu Gundaniya
 
Time Domain response of second order linear circuit
Time Domain response of second order linear circuitTime Domain response of second order linear circuit
Time Domain response of second order linear circuit
Abhishek Choksi
 
R-L-C circuit
R-L-C circuitR-L-C circuit
R-L-C circuit
Shubham Sojitra
 

What's hot (20)

Natural response for RC and RL
Natural response for RC and RLNatural response for RC and RL
Natural response for RC and RL
 
Low pass filter and Integrator
Low pass filter and IntegratorLow pass filter and Integrator
Low pass filter and Integrator
 
Step natural
Step naturalStep natural
Step natural
 
Pulse and Digital Circuits - PHI Learning
Pulse and Digital Circuits - PHI LearningPulse and Digital Circuits - PHI Learning
Pulse and Digital Circuits - PHI Learning
 
Growth of current R-L and R-C Series circuit
Growth of current R-L and R-C Series circuitGrowth of current R-L and R-C Series circuit
Growth of current R-L and R-C Series circuit
 
Thyristor Commutation Techniques
Thyristor Commutation TechniquesThyristor Commutation Techniques
Thyristor Commutation Techniques
 
Lecture 28 lc, rlc circuits.
Lecture 28   lc, rlc circuits.Lecture 28   lc, rlc circuits.
Lecture 28 lc, rlc circuits.
 
First order circuits
First order circuitsFirst order circuits
First order circuits
 
Rc and rl differentiator and integrator circuit
Rc and rl differentiator and integrator circuitRc and rl differentiator and integrator circuit
Rc and rl differentiator and integrator circuit
 
AC in RC Circuits
AC in RC CircuitsAC in RC Circuits
AC in RC Circuits
 
Step respponse of rlc circuit by Aditya Pratap Singh Delhi University
Step respponse of rlc circuit by Aditya Pratap Singh Delhi UniversityStep respponse of rlc circuit by Aditya Pratap Singh Delhi University
Step respponse of rlc circuit by Aditya Pratap Singh Delhi University
 
Lecture 29 ac circuits. phasors.
Lecture 29   ac circuits. phasors.Lecture 29   ac circuits. phasors.
Lecture 29 ac circuits. phasors.
 
PARELLEL LC CIRCUIT
PARELLEL LC CIRCUITPARELLEL LC CIRCUIT
PARELLEL LC CIRCUIT
 
Armstrong oscillator
Armstrong oscillatorArmstrong oscillator
Armstrong oscillator
 
Current commutated chopper
Current commutated chopperCurrent commutated chopper
Current commutated chopper
 
waveshaping ckts
 waveshaping ckts waveshaping ckts
waveshaping ckts
 
Three Phase Rectifier By Vivek Ahlawat
Three Phase Rectifier By Vivek AhlawatThree Phase Rectifier By Vivek Ahlawat
Three Phase Rectifier By Vivek Ahlawat
 
Initial Conditions of Resistor, Inductor & Capacitor
Initial Conditions of Resistor, Inductor & CapacitorInitial Conditions of Resistor, Inductor & Capacitor
Initial Conditions of Resistor, Inductor & Capacitor
 
Time Domain response of second order linear circuit
Time Domain response of second order linear circuitTime Domain response of second order linear circuit
Time Domain response of second order linear circuit
 
R-L-C circuit
R-L-C circuitR-L-C circuit
R-L-C circuit
 

Viewers also liked

Two Port Network Parameters
Two Port Network ParametersTwo Port Network Parameters
Two Port Network Parametersmmlodro
 
Sykemittari
SykemittariSykemittari
Sykemittari
Tero Peltola
 
Web 2.0 for health promotion reviewing the current evidence
Web 2.0 for health promotion  reviewing the current evidenceWeb 2.0 for health promotion  reviewing the current evidence
Web 2.0 for health promotion reviewing the current evidenceGiuseppe Fattori
 
Living things and the cell
Living things and the cellLiving things and the cell
Living things and the cell
silviaprofe56
 
Hands on-social-media-introduction-by-anyssa
Hands on-social-media-introduction-by-anyssaHands on-social-media-introduction-by-anyssa
Hands on-social-media-introduction-by-anyssa
Anyssa Jane
 
Закрепление пройденного
Закрепление пройденногоЗакрепление пройденного
Закрепление пройденного
МКОУ СОШ № 1 г. Сим
 
Беларусы ў Пецярбургу
Беларусы ў ПецярбургуБеларусы ў Пецярбургу
Confeccion camisa
Confeccion camisaConfeccion camisa
Confeccion camisa
Jimmy Uribe
 
Indian Product Companies M&A Scenario
Indian Product Companies M&A ScenarioIndian Product Companies M&A Scenario
Indian Product Companies M&A Scenarioprematura
 
2012 Recirc And Hs Program Mark
2012 Recirc And Hs Program  Mark2012 Recirc And Hs Program  Mark
2012 Recirc And Hs Program MarkMarkPanicali
 
As media course work evaluation
As media course work  evaluationAs media course work  evaluation
As media course work evaluationBillysmedia
 
Fraser valley event planning masquerade slide show
Fraser valley event planning masquerade slide showFraser valley event planning masquerade slide show
Fraser valley event planning masquerade slide showAnyssa Jane
 
Согласные звуки б, бь. Буквы Бб. Урок 2
Согласные звуки б, бь. Буквы Бб. Урок 2Согласные звуки б, бь. Буквы Бб. Урок 2
Согласные звуки б, бь. Буквы Бб. Урок 2
МКОУ СОШ № 1 г. Сим
 
Rodohori
RodohoriRodohori
Topic 5
Topic 5Topic 5
Мінск губернскі (1793-1921)
Мінск губернскі (1793-1921)Мінск губернскі (1793-1921)
Dan Rowles Portfolio
Dan Rowles Portfolio Dan Rowles Portfolio
Dan Rowles Portfolio
danielrobinerowles
 

Viewers also liked (20)

Two Port Network Parameters
Two Port Network ParametersTwo Port Network Parameters
Two Port Network Parameters
 
Sykemittari
SykemittariSykemittari
Sykemittari
 
Web 2.0 for health promotion reviewing the current evidence
Web 2.0 for health promotion  reviewing the current evidenceWeb 2.0 for health promotion  reviewing the current evidence
Web 2.0 for health promotion reviewing the current evidence
 
Living things and the cell
Living things and the cellLiving things and the cell
Living things and the cell
 
Hands on-social-media-introduction-by-anyssa
Hands on-social-media-introduction-by-anyssaHands on-social-media-introduction-by-anyssa
Hands on-social-media-introduction-by-anyssa
 
Закрепление пройденного
Закрепление пройденногоЗакрепление пройденного
Закрепление пройденного
 
Беларусы ў Пецярбургу
Беларусы ў ПецярбургуБеларусы ў Пецярбургу
Беларусы ў Пецярбургу
 
Confeccion camisa
Confeccion camisaConfeccion camisa
Confeccion camisa
 
Indian Product Companies M&A Scenario
Indian Product Companies M&A ScenarioIndian Product Companies M&A Scenario
Indian Product Companies M&A Scenario
 
Appleby street 3
Appleby street 3Appleby street 3
Appleby street 3
 
2012 Recirc And Hs Program Mark
2012 Recirc And Hs Program  Mark2012 Recirc And Hs Program  Mark
2012 Recirc And Hs Program Mark
 
As media course work evaluation
As media course work  evaluationAs media course work  evaluation
As media course work evaluation
 
Fraser valley event planning masquerade slide show
Fraser valley event planning masquerade slide showFraser valley event planning masquerade slide show
Fraser valley event planning masquerade slide show
 
Согласные звуки б, бь. Буквы Бб. Урок 2
Согласные звуки б, бь. Буквы Бб. Урок 2Согласные звуки б, бь. Буквы Бб. Урок 2
Согласные звуки б, бь. Буквы Бб. Урок 2
 
Rodohori
RodohoriRodohori
Rodohori
 
Topic 5
Topic 5Topic 5
Topic 5
 
Social networking & Hiv
Social networking & HivSocial networking & Hiv
Social networking & Hiv
 
Мінск губернскі (1793-1921)
Мінск губернскі (1793-1921)Мінск губернскі (1793-1921)
Мінск губернскі (1793-1921)
 
Quechua 6 b,c
Quechua 6 b,cQuechua 6 b,c
Quechua 6 b,c
 
Dan Rowles Portfolio
Dan Rowles Portfolio Dan Rowles Portfolio
Dan Rowles Portfolio
 

Similar to Lect07 handout

Kirchhoff's rules and rc circuits
Kirchhoff's rules and rc circuitsKirchhoff's rules and rc circuits
Kirchhoff's rules and rc circuitsramamaii
 
Current Electricity 4 Aug.pdf
Current Electricity 4 Aug.pdfCurrent Electricity 4 Aug.pdf
Current Electricity 4 Aug.pdf
ArpitVidhani
 
Capacitor
CapacitorCapacitor
Capacitor
Anupam Narang
 
Transient response of RC , RL circuits with step input
Transient response of RC , RL circuits  with step inputTransient response of RC , RL circuits  with step input
Transient response of RC , RL circuits with step input
Dr.YNM
 
Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...
Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...
Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...
University of Gujrat, Pakistan
 
AC Circuit Theory
AC Circuit TheoryAC Circuit Theory
AC Circuit Theory
AjEcuacion
 
Sesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y Diodos
Sesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y DiodosSesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y Diodos
Sesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y Diodos
Javier García Molleja
 
B.Sc. Sem II Network theorems
 B.Sc. Sem II Network theorems B.Sc. Sem II Network theorems
Sheet1resistance of resistorTime Constant = 5.3s10v from power sup.docx
Sheet1resistance of resistorTime Constant = 5.3s10v from power sup.docxSheet1resistance of resistorTime Constant = 5.3s10v from power sup.docx
Sheet1resistance of resistorTime Constant = 5.3s10v from power sup.docx
maoanderton
 
Introduction to scr thyristers
Introduction to scr thyristersIntroduction to scr thyristers
Introduction to scr thyristers
iqtadar ali gilani
 
PP+for+Ch+31.pdf
PP+for+Ch+31.pdfPP+for+Ch+31.pdf
PP+for+Ch+31.pdf
allahrakhaswabi
 
Initial and final condition for circuit
Initial and final condition for circuitInitial and final condition for circuit
Initial and final condition for circuit
vishalgohel12195
 
Assignmentl3 solutions
Assignmentl3 solutionsAssignmentl3 solutions
Assignmentl3 solutions
Om Prakash Bankolia
 
MATH (PPT).pptx
MATH (PPT).pptxMATH (PPT).pptx
MATH (PPT).pptx
KaushalAbc
 
3 rlc circuits
3 rlc circuits3 rlc circuits
3 rlc circuits
dikyanggoro1
 

Similar to Lect07 handout (20)

RC circuit.pptx
RC circuit.pptxRC circuit.pptx
RC circuit.pptx
 
Kirchhoff's rules and rc circuits
Kirchhoff's rules and rc circuitsKirchhoff's rules and rc circuits
Kirchhoff's rules and rc circuits
 
Current Electricity 4 Aug.pdf
Current Electricity 4 Aug.pdfCurrent Electricity 4 Aug.pdf
Current Electricity 4 Aug.pdf
 
Circuits
CircuitsCircuits
Circuits
 
Capacitor
CapacitorCapacitor
Capacitor
 
Transient response of RC , RL circuits with step input
Transient response of RC , RL circuits  with step inputTransient response of RC , RL circuits  with step input
Transient response of RC , RL circuits with step input
 
Charging C
Charging  CCharging  C
Charging C
 
Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...
Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...
Thyristor Characteristics, Two Transistor Model Of Thyristor & Thyrisror Turn...
 
AC Circuit Theory
AC Circuit TheoryAC Circuit Theory
AC Circuit Theory
 
Sesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y Diodos
Sesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y DiodosSesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y Diodos
Sesión de Laboratorio 3: Leyes de Kirchhoff, Circuitos RC y Diodos
 
B.Sc. Sem II Network theorems
 B.Sc. Sem II Network theorems B.Sc. Sem II Network theorems
B.Sc. Sem II Network theorems
 
Sheet1resistance of resistorTime Constant = 5.3s10v from power sup.docx
Sheet1resistance of resistorTime Constant = 5.3s10v from power sup.docxSheet1resistance of resistorTime Constant = 5.3s10v from power sup.docx
Sheet1resistance of resistorTime Constant = 5.3s10v from power sup.docx
 
Introduction to scr thyristers
Introduction to scr thyristersIntroduction to scr thyristers
Introduction to scr thyristers
 
PP+for+Ch+31.pdf
PP+for+Ch+31.pdfPP+for+Ch+31.pdf
PP+for+Ch+31.pdf
 
Lesson 2 Capacitors
Lesson 2  CapacitorsLesson 2  Capacitors
Lesson 2 Capacitors
 
Initial and final condition for circuit
Initial and final condition for circuitInitial and final condition for circuit
Initial and final condition for circuit
 
Circuits
CircuitsCircuits
Circuits
 
Assignmentl3 solutions
Assignmentl3 solutionsAssignmentl3 solutions
Assignmentl3 solutions
 
MATH (PPT).pptx
MATH (PPT).pptxMATH (PPT).pptx
MATH (PPT).pptx
 
3 rlc circuits
3 rlc circuits3 rlc circuits
3 rlc circuits
 

More from nomio0703

Lect27 handout
Lect27 handoutLect27 handout
Lect27 handoutnomio0703
 
Lect27 handout
Lect27 handoutLect27 handout
Lect27 handoutnomio0703
 
Lect26 handout
Lect26 handoutLect26 handout
Lect26 handoutnomio0703
 
Lect25 handout
Lect25 handoutLect25 handout
Lect25 handoutnomio0703
 
Lect24 handout
Lect24 handoutLect24 handout
Lect24 handoutnomio0703
 
Lect22 handout
Lect22 handoutLect22 handout
Lect22 handoutnomio0703
 
Lect21 handout
Lect21 handoutLect21 handout
Lect21 handoutnomio0703
 
Lect20 handout
Lect20 handoutLect20 handout
Lect20 handoutnomio0703
 
Lect19 handout
Lect19 handoutLect19 handout
Lect19 handoutnomio0703
 
Lect18 handout
Lect18 handoutLect18 handout
Lect18 handoutnomio0703
 
Lect17 handout
Lect17 handoutLect17 handout
Lect17 handoutnomio0703
 
Lect16 handout
Lect16 handoutLect16 handout
Lect16 handoutnomio0703
 
Lect15 handout
Lect15 handoutLect15 handout
Lect15 handoutnomio0703
 
Lect14 handout
Lect14 handoutLect14 handout
Lect14 handoutnomio0703
 
Lect13 handout
Lect13 handoutLect13 handout
Lect13 handoutnomio0703
 
Lect12 handout
Lect12 handoutLect12 handout
Lect12 handoutnomio0703
 
Lect10 handout
Lect10 handoutLect10 handout
Lect10 handoutnomio0703
 
Lect09 handout
Lect09 handoutLect09 handout
Lect09 handoutnomio0703
 
Lect08 handout
Lect08 handoutLect08 handout
Lect08 handoutnomio0703
 
Lect06 handout
Lect06 handoutLect06 handout
Lect06 handoutnomio0703
 

More from nomio0703 (20)

Lect27 handout
Lect27 handoutLect27 handout
Lect27 handout
 
Lect27 handout
Lect27 handoutLect27 handout
Lect27 handout
 
Lect26 handout
Lect26 handoutLect26 handout
Lect26 handout
 
Lect25 handout
Lect25 handoutLect25 handout
Lect25 handout
 
Lect24 handout
Lect24 handoutLect24 handout
Lect24 handout
 
Lect22 handout
Lect22 handoutLect22 handout
Lect22 handout
 
Lect21 handout
Lect21 handoutLect21 handout
Lect21 handout
 
Lect20 handout
Lect20 handoutLect20 handout
Lect20 handout
 
Lect19 handout
Lect19 handoutLect19 handout
Lect19 handout
 
Lect18 handout
Lect18 handoutLect18 handout
Lect18 handout
 
Lect17 handout
Lect17 handoutLect17 handout
Lect17 handout
 
Lect16 handout
Lect16 handoutLect16 handout
Lect16 handout
 
Lect15 handout
Lect15 handoutLect15 handout
Lect15 handout
 
Lect14 handout
Lect14 handoutLect14 handout
Lect14 handout
 
Lect13 handout
Lect13 handoutLect13 handout
Lect13 handout
 
Lect12 handout
Lect12 handoutLect12 handout
Lect12 handout
 
Lect10 handout
Lect10 handoutLect10 handout
Lect10 handout
 
Lect09 handout
Lect09 handoutLect09 handout
Lect09 handout
 
Lect08 handout
Lect08 handoutLect08 handout
Lect08 handout
 
Lect06 handout
Lect06 handoutLect06 handout
Lect06 handout
 

Recently uploaded

IOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptx
IOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptxIOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptx
IOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptx
Abida Shariff
 
Key Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdfKey Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdf
Cheryl Hung
 
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
Product School
 
Leading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdfLeading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdf
OnBoard
 
Accelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish CachingAccelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish Caching
Thijs Feryn
 
UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3
DianaGray10
 
Essentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with ParametersEssentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with Parameters
Safe Software
 
Connector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a buttonConnector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a button
DianaGray10
 
Software Delivery At the Speed of AI: Inflectra Invests In AI-Powered Quality
Software Delivery At the Speed of AI: Inflectra Invests In AI-Powered QualitySoftware Delivery At the Speed of AI: Inflectra Invests In AI-Powered Quality
Software Delivery At the Speed of AI: Inflectra Invests In AI-Powered Quality
Inflectra
 
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdfFIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance
 
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdfSmart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
91mobiles
 
How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...
Product School
 
FIDO Alliance Osaka Seminar: Overview.pdf
FIDO Alliance Osaka Seminar: Overview.pdfFIDO Alliance Osaka Seminar: Overview.pdf
FIDO Alliance Osaka Seminar: Overview.pdf
FIDO Alliance
 
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
BookNet Canada
 
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdfFIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance
 
"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi
Fwdays
 
Designing Great Products: The Power of Design and Leadership by Chief Designe...
Designing Great Products: The Power of Design and Leadership by Chief Designe...Designing Great Products: The Power of Design and Leadership by Chief Designe...
Designing Great Products: The Power of Design and Leadership by Chief Designe...
Product School
 
The Future of Platform Engineering
The Future of Platform EngineeringThe Future of Platform Engineering
The Future of Platform Engineering
Jemma Hussein Allen
 
PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)
Ralf Eggert
 
UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4
DianaGray10
 

Recently uploaded (20)

IOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptx
IOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptxIOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptx
IOS-PENTESTING-BEGINNERS-PRACTICAL-GUIDE-.pptx
 
Key Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdfKey Trends Shaping the Future of Infrastructure.pdf
Key Trends Shaping the Future of Infrastructure.pdf
 
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
De-mystifying Zero to One: Design Informed Techniques for Greenfield Innovati...
 
Leading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdfLeading Change strategies and insights for effective change management pdf 1.pdf
Leading Change strategies and insights for effective change management pdf 1.pdf
 
Accelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish CachingAccelerate your Kubernetes clusters with Varnish Caching
Accelerate your Kubernetes clusters with Varnish Caching
 
UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3UiPath Test Automation using UiPath Test Suite series, part 3
UiPath Test Automation using UiPath Test Suite series, part 3
 
Essentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with ParametersEssentials of Automations: Optimizing FME Workflows with Parameters
Essentials of Automations: Optimizing FME Workflows with Parameters
 
Connector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a buttonConnector Corner: Automate dynamic content and events by pushing a button
Connector Corner: Automate dynamic content and events by pushing a button
 
Software Delivery At the Speed of AI: Inflectra Invests In AI-Powered Quality
Software Delivery At the Speed of AI: Inflectra Invests In AI-Powered QualitySoftware Delivery At the Speed of AI: Inflectra Invests In AI-Powered Quality
Software Delivery At the Speed of AI: Inflectra Invests In AI-Powered Quality
 
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdfFIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
FIDO Alliance Osaka Seminar: Passkeys at Amazon.pdf
 
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdfSmart TV Buyer Insights Survey 2024 by 91mobiles.pdf
Smart TV Buyer Insights Survey 2024 by 91mobiles.pdf
 
How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...How world-class product teams are winning in the AI era by CEO and Founder, P...
How world-class product teams are winning in the AI era by CEO and Founder, P...
 
FIDO Alliance Osaka Seminar: Overview.pdf
FIDO Alliance Osaka Seminar: Overview.pdfFIDO Alliance Osaka Seminar: Overview.pdf
FIDO Alliance Osaka Seminar: Overview.pdf
 
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...Transcript: Selling digital books in 2024: Insights from industry leaders - T...
Transcript: Selling digital books in 2024: Insights from industry leaders - T...
 
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdfFIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
FIDO Alliance Osaka Seminar: The WebAuthn API and Discoverable Credentials.pdf
 
"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi"Impact of front-end architecture on development cost", Viktor Turskyi
"Impact of front-end architecture on development cost", Viktor Turskyi
 
Designing Great Products: The Power of Design and Leadership by Chief Designe...
Designing Great Products: The Power of Design and Leadership by Chief Designe...Designing Great Products: The Power of Design and Leadership by Chief Designe...
Designing Great Products: The Power of Design and Leadership by Chief Designe...
 
The Future of Platform Engineering
The Future of Platform EngineeringThe Future of Platform Engineering
The Future of Platform Engineering
 
PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)PHP Frameworks: I want to break free (IPC Berlin 2024)
PHP Frameworks: I want to break free (IPC Berlin 2024)
 
UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4UiPath Test Automation using UiPath Test Suite series, part 4
UiPath Test Automation using UiPath Test Suite series, part 4
 

Lect07 handout

  • 1. RC Circuits Physics 102: Lecture 7
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9.
  • 10.
  • 11.
  • 12.
  • 13.
  • 14.
  • 15.
  • 16.
  • 17.
  • 18.
  • 19.
  • 20. Practice! Calculate current immediately after switch is closed: Calculate current after switch has been closed for 0.5 seconds: Calculate current after switch has been closed for a long time: Calculate charge on capacitor after switch has been closed for a long time: Example E – I 0 R – q 0 /C = 0 + + + - - - E – I 0 R – 0 = 0 I 0 = E /R After a long time current through capacitor is zero! E – IR – q ∞ /C = 0 E – 0 – q ∞ /C = 0 q ∞ = E C R C ε S 1 R=10  C=30 mF ε =20 Volts I
  • 21.
  • 22.
  • 23. RC Summary Charging Discharging q(t) = q  (1-e -t/RC ) q(t) = q 0 e -t/RC V(t) = V  (1-e -t/RC ) V(t) = V 0 e -t/RC I(t) = I 0 e -t/RC I(t) = I 0 e -t/RC Short term: Charge doesn’t change (often zero or max) Long term: Current through capacitor is zero. Time Constant  = RC Large  means long time to charge/discharge

Editor's Notes

  1. 1
  2. Initial current through battery. Final current; final voltage across C.
  3. Initial current through battery. Final current; final voltage across C.
  4. Initial current through battery. Final current; final voltage across C.
  5. Followup…what is current a long time later? What is charge on capacitor a long time later?