SlideShare a Scribd company logo
Voltage Divider and Current Divider Rule
Voltage Division Rule
 A series circuit acts as a voltage divider as it divides the total supply
voltage into different voltages across the circuit elements.
 Figure shows a voltage divider circuit in which the total supply
voltage V has been divided into voltages V1 and V2 across two
resistances R1 and R2.
 Although, the current through both resistances is same, i.e., I.
Voltage Division Rule
As per Ohm’s law,
V1 = IR1;
V2 = IR2
Total Resistance R = R1 + R2 ----(1)
V=IR = I (R1+R2) ---- (2)
But I =
𝑉1
𝑅1
=
𝑉2
𝑅2
----- (3)
From Eqn (2) & (3), we have
V =
𝑉1
𝑅1
(R1 + R2)
V1 =
𝑉𝑅1
(𝑅1+𝑅2)
----- (4)
Similarly,
V =
𝑉2
𝑅2
(R1 + R2)
V2 =
𝑉𝑅2
(𝑅1+𝑅2)
----- (4)
Hence, from equations of voltage division rule, it
may be said that the voltage across a resistor in a
series circuit is equal to the product of the value of
that resistor and the total supply voltage, divided by
the total resistance of the series resistors.
Practice Problem 2
Find the voltage across resistors R1 and R2 in the circuit
Three resistive elements of 6kΩ, 12kΩ and 18kΩ are connected together in
series across a 36 volt supply. Calculate, the total resistance, the value of the
current flowing around the circuit, and the voltage drops across each resistor.
Current Divider Rule
 A parallel circuit acts as a current divider as it divides the total circuit current in its all
branches.
 Figure shows a current divider circuit in which the total circuit current I has been divided
into currents I1 and I2 in two parallel branches with resistances R1 and R2.
 Although, we can notice that the voltage drop across both resistances is same, i.e., V.
Current Divider Rule
According to Ohm’s law,
I1 =
𝑉
𝑅1
I2 =
𝑉
𝑅2
Let R be the equivalent Resistance of the
above circuit.
R =
𝑅1𝑅2
(𝑅1+𝑅2)
------ (1)
From the circuit,
I =
𝑉
𝑅
= V x
(𝑅1+𝑅2)
𝑅1𝑅2
------ (2)
Voltage across both the resistances are equal.
V = I1R1 = I2R2 ---- (3)
From eqn (2) & (3),
I = I1R1
(𝑅1+𝑅2)
(𝑅1𝑅2)
= I1
(𝑅1+𝑅2)
𝑅2
I1 =
𝐼𝑅2
(𝑅1+𝑅2)
----- (4)
Similarly,
I = I2R2
(𝑅1+𝑅2)
(𝑅1𝑅2)
= I2
(𝑅1+𝑅2)
(𝑅1)
I2 =
𝐼𝑅1
(𝑅1+𝑅2)
----- (5)
Equations (4) and (5) give the expressions of current
division rule. From these equations, we may state
that the current in any of the parallel branches is
equal to the ratio of opposite branch resistance to
the sum of all resistances, multiplied by the total
circuit current.
Practice Problem 1
Find the currents I1 and I2 in the parallel circuit
Calculate the current flow in each branch of the circuit
shown below:

More Related Content

What's hot

Electric circuits and networks Basics
Electric circuits and networks BasicsElectric circuits and networks Basics
Electric circuits and networks Basics
PradeepRaj
 
RLC Circuit
RLC CircuitRLC Circuit
BJT CB Configuration
BJT CB ConfigurationBJT CB Configuration
BJT CB Configuration
Sarath Chandran
 
Application of diode
Application of diodeApplication of diode
Application of diode
DiLip ChauDhary
 
Norton's theorem
Norton's theoremNorton's theorem
Norton's theorem
Rajni Maurya
 
Transistor as a switch
Transistor as a switch Transistor as a switch
Transistor as a switch
jignesh prajapati
 
Diodes basics
Diodes   basicsDiodes   basics
A.c circuits
A.c circuitsA.c circuits
A.c circuits
RONAK SUTARIYA
 
fundamentals of electrical engineering
 fundamentals of electrical engineering fundamentals of electrical engineering
fundamentals of electrical engineering
ayushi kesarvani
 
Triac and Diac
Triac and DiacTriac and Diac
Triac and Diac
Rahul Sahu
 
Working principle diode and special diode
Working principle diode and special diodeWorking principle diode and special diode
Working principle diode and special diode
aman1894
 
Transistor
TransistorTransistor
Transistor
Unsa Shakir
 
Two port network
Two port networkTwo port network
Two port network
Rajput Manthan
 
Chapter 1 circuit theorem
Chapter 1   circuit theoremChapter 1   circuit theorem
Chapter 1 circuit theorem
fairuzid
 
Op amps
Op ampsOp amps
Zener Diode-As Voltage Regulator
Zener Diode-As Voltage RegulatorZener Diode-As Voltage Regulator
Zener Diode-As Voltage Regulator
Adeel Rasheed
 
Resistance Measurement instruments
Resistance Measurement instrumentsResistance Measurement instruments
Resistance Measurement instruments
Chandan Singh
 
Dc motors and its types
Dc motors and its typesDc motors and its types
Dc motors and its types
Sumeet Patel
 
Op amp(operational amplifier)
Op amp(operational amplifier)Op amp(operational amplifier)
Op amp(operational amplifier)
Kausik das
 
Invering and non inverting amplifiers
Invering and non inverting amplifiersInvering and non inverting amplifiers
Invering and non inverting amplifiers
Muhammad Mohsin
 

What's hot (20)

Electric circuits and networks Basics
Electric circuits and networks BasicsElectric circuits and networks Basics
Electric circuits and networks Basics
 
RLC Circuit
RLC CircuitRLC Circuit
RLC Circuit
 
BJT CB Configuration
BJT CB ConfigurationBJT CB Configuration
BJT CB Configuration
 
Application of diode
Application of diodeApplication of diode
Application of diode
 
Norton's theorem
Norton's theoremNorton's theorem
Norton's theorem
 
Transistor as a switch
Transistor as a switch Transistor as a switch
Transistor as a switch
 
Diodes basics
Diodes   basicsDiodes   basics
Diodes basics
 
A.c circuits
A.c circuitsA.c circuits
A.c circuits
 
fundamentals of electrical engineering
 fundamentals of electrical engineering fundamentals of electrical engineering
fundamentals of electrical engineering
 
Triac and Diac
Triac and DiacTriac and Diac
Triac and Diac
 
Working principle diode and special diode
Working principle diode and special diodeWorking principle diode and special diode
Working principle diode and special diode
 
Transistor
TransistorTransistor
Transistor
 
Two port network
Two port networkTwo port network
Two port network
 
Chapter 1 circuit theorem
Chapter 1   circuit theoremChapter 1   circuit theorem
Chapter 1 circuit theorem
 
Op amps
Op ampsOp amps
Op amps
 
Zener Diode-As Voltage Regulator
Zener Diode-As Voltage RegulatorZener Diode-As Voltage Regulator
Zener Diode-As Voltage Regulator
 
Resistance Measurement instruments
Resistance Measurement instrumentsResistance Measurement instruments
Resistance Measurement instruments
 
Dc motors and its types
Dc motors and its typesDc motors and its types
Dc motors and its types
 
Op amp(operational amplifier)
Op amp(operational amplifier)Op amp(operational amplifier)
Op amp(operational amplifier)
 
Invering and non inverting amplifiers
Invering and non inverting amplifiersInvering and non inverting amplifiers
Invering and non inverting amplifiers
 

Similar to Voltage Divider and Current Divider Rule.pptx

ec ppt
ec pptec ppt
ppt on electricty class 10
ppt on electricty class 10ppt on electricty class 10
ppt on electricty class 10
dheeraj3g
 
Basic Electrical Engineering Module 1 Part 1
Basic Electrical Engineering Module 1 Part 1Basic Electrical Engineering Module 1 Part 1
Basic Electrical Engineering Module 1 Part 1
Divya15121983
 
BEE.pdf
BEE.pdfBEE.pdf
BEE.pdf
ssuser0c0428
 
Electric circuits 1 series-parallel
Electric circuits 1   series-parallelElectric circuits 1   series-parallel
Electric circuits 1 series-parallel
Ignacio Anguera de Sojo Palerm
 
Lab report 2
Lab report 2Lab report 2
Lab report 2
Evandro Conceicao
 
Electrical circuits
Electrical circuitsElectrical circuits
Electrical circuits
University of Potsdam
 
BACK to BASIC 3.pdf
BACK to BASIC 3.pdfBACK to BASIC 3.pdf
BACK to BASIC 3.pdf
Edgar Rios
 
Electrcity. with quiz
Electrcity. with quizElectrcity. with quiz
Electrcity. with quiz
Padme Amidala
 
Lab mech.pptx
Lab mech.pptxLab mech.pptx
Lab mech.pptx
ErnestoTorres910878
 
7 j electrical circuits (boardworks)
7 j electrical circuits (boardworks)7 j electrical circuits (boardworks)
7 j electrical circuits (boardworks)
cartlidge
 
Circuit theory
Circuit theoryCircuit theory
Circuit theory
mrunalinithanaraj
 
Physics Class 12 Current Electricity Study material pdf download
Physics Class 12 Current Electricity Study material pdf downloadPhysics Class 12 Current Electricity Study material pdf download
Physics Class 12 Current Electricity Study material pdf download
Vivekanand Anglo Vedic Academy
 
elec_basics (1).ppt
elec_basics (1).pptelec_basics (1).ppt
elec_basics (1).ppt
AlexVo21
 
Analogue electronics lec (2)
Analogue electronics lec (2)Analogue electronics lec (2)
Analogue electronics lec (2)
Dr. Abeer Kamal
 
BEEE-UNIT 1.pptx
BEEE-UNIT 1.pptxBEEE-UNIT 1.pptx
BEEE-UNIT 1.pptx
Gigi203211
 
Energy lesson 10
Energy lesson 10Energy lesson 10
Energy lesson 10
dhmcmillan
 
ohm's law and circuits
ohm's law and  circuitsohm's law and  circuits
ohm's law and circuits
imran khan
 
Circular pararel series
Circular pararel seriesCircular pararel series
Circular pararel series
umammuhammad27
 
Resistance 2
Resistance 2Resistance 2
Resistance 2
Adityaroy110
 

Similar to Voltage Divider and Current Divider Rule.pptx (20)

ec ppt
ec pptec ppt
ec ppt
 
ppt on electricty class 10
ppt on electricty class 10ppt on electricty class 10
ppt on electricty class 10
 
Basic Electrical Engineering Module 1 Part 1
Basic Electrical Engineering Module 1 Part 1Basic Electrical Engineering Module 1 Part 1
Basic Electrical Engineering Module 1 Part 1
 
BEE.pdf
BEE.pdfBEE.pdf
BEE.pdf
 
Electric circuits 1 series-parallel
Electric circuits 1   series-parallelElectric circuits 1   series-parallel
Electric circuits 1 series-parallel
 
Lab report 2
Lab report 2Lab report 2
Lab report 2
 
Electrical circuits
Electrical circuitsElectrical circuits
Electrical circuits
 
BACK to BASIC 3.pdf
BACK to BASIC 3.pdfBACK to BASIC 3.pdf
BACK to BASIC 3.pdf
 
Electrcity. with quiz
Electrcity. with quizElectrcity. with quiz
Electrcity. with quiz
 
Lab mech.pptx
Lab mech.pptxLab mech.pptx
Lab mech.pptx
 
7 j electrical circuits (boardworks)
7 j electrical circuits (boardworks)7 j electrical circuits (boardworks)
7 j electrical circuits (boardworks)
 
Circuit theory
Circuit theoryCircuit theory
Circuit theory
 
Physics Class 12 Current Electricity Study material pdf download
Physics Class 12 Current Electricity Study material pdf downloadPhysics Class 12 Current Electricity Study material pdf download
Physics Class 12 Current Electricity Study material pdf download
 
elec_basics (1).ppt
elec_basics (1).pptelec_basics (1).ppt
elec_basics (1).ppt
 
Analogue electronics lec (2)
Analogue electronics lec (2)Analogue electronics lec (2)
Analogue electronics lec (2)
 
BEEE-UNIT 1.pptx
BEEE-UNIT 1.pptxBEEE-UNIT 1.pptx
BEEE-UNIT 1.pptx
 
Energy lesson 10
Energy lesson 10Energy lesson 10
Energy lesson 10
 
ohm's law and circuits
ohm's law and  circuitsohm's law and  circuits
ohm's law and circuits
 
Circular pararel series
Circular pararel seriesCircular pararel series
Circular pararel series
 
Resistance 2
Resistance 2Resistance 2
Resistance 2
 

Recently uploaded

basic-wireline-operations-course-mahmoud-f-radwan.pdf
basic-wireline-operations-course-mahmoud-f-radwan.pdfbasic-wireline-operations-course-mahmoud-f-radwan.pdf
basic-wireline-operations-course-mahmoud-f-radwan.pdf
NidhalKahouli2
 
International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...
gerogepatton
 
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODELDEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
gerogepatton
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
Victor Morales
 
The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.
sachin chaurasia
 
Heat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation pptHeat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation ppt
mamunhossenbd75
 
Understanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine LearningUnderstanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine Learning
SUTEJAS
 
Casting-Defect-inSlab continuous casting.pdf
Casting-Defect-inSlab continuous casting.pdfCasting-Defect-inSlab continuous casting.pdf
Casting-Defect-inSlab continuous casting.pdf
zubairahmad848137
 
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEM
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEMTIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEM
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEM
HODECEDSIET
 
Textile Chemical Processing and Dyeing.pdf
Textile Chemical Processing and Dyeing.pdfTextile Chemical Processing and Dyeing.pdf
Textile Chemical Processing and Dyeing.pdf
NazakatAliKhoso2
 
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
University of Maribor
 
Recycled Concrete Aggregate in Construction Part II
Recycled Concrete Aggregate in Construction Part IIRecycled Concrete Aggregate in Construction Part II
Recycled Concrete Aggregate in Construction Part II
Aditya Rajan Patra
 
Computational Engineering IITH Presentation
Computational Engineering IITH PresentationComputational Engineering IITH Presentation
Computational Engineering IITH Presentation
co23btech11018
 
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball playEric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
enizeyimana36
 
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECTCHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
jpsjournal1
 
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
insn4465
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
IJECEIAES
 
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have oneISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
Las Vegas Warehouse
 
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdfBPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
MIGUELANGEL966976
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
171ticu
 

Recently uploaded (20)

basic-wireline-operations-course-mahmoud-f-radwan.pdf
basic-wireline-operations-course-mahmoud-f-radwan.pdfbasic-wireline-operations-course-mahmoud-f-radwan.pdf
basic-wireline-operations-course-mahmoud-f-radwan.pdf
 
International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...International Conference on NLP, Artificial Intelligence, Machine Learning an...
International Conference on NLP, Artificial Intelligence, Machine Learning an...
 
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODELDEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
DEEP LEARNING FOR SMART GRID INTRUSION DETECTION: A HYBRID CNN-LSTM-BASED MODEL
 
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressionsKuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
KuberTENes Birthday Bash Guadalajara - K8sGPT first impressions
 
The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.The Python for beginners. This is an advance computer language.
The Python for beginners. This is an advance computer language.
 
Heat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation pptHeat Resistant Concrete Presentation ppt
Heat Resistant Concrete Presentation ppt
 
Understanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine LearningUnderstanding Inductive Bias in Machine Learning
Understanding Inductive Bias in Machine Learning
 
Casting-Defect-inSlab continuous casting.pdf
Casting-Defect-inSlab continuous casting.pdfCasting-Defect-inSlab continuous casting.pdf
Casting-Defect-inSlab continuous casting.pdf
 
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEM
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEMTIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEM
TIME DIVISION MULTIPLEXING TECHNIQUE FOR COMMUNICATION SYSTEM
 
Textile Chemical Processing and Dyeing.pdf
Textile Chemical Processing and Dyeing.pdfTextile Chemical Processing and Dyeing.pdf
Textile Chemical Processing and Dyeing.pdf
 
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
Presentation of IEEE Slovenia CIS (Computational Intelligence Society) Chapte...
 
Recycled Concrete Aggregate in Construction Part II
Recycled Concrete Aggregate in Construction Part IIRecycled Concrete Aggregate in Construction Part II
Recycled Concrete Aggregate in Construction Part II
 
Computational Engineering IITH Presentation
Computational Engineering IITH PresentationComputational Engineering IITH Presentation
Computational Engineering IITH Presentation
 
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball playEric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
Eric Nizeyimana's document 2006 from gicumbi to ttc nyamata handball play
 
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECTCHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
CHINA’S GEO-ECONOMIC OUTREACH IN CENTRAL ASIAN COUNTRIES AND FUTURE PROSPECT
 
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
哪里办理(csu毕业证书)查尔斯特大学毕业证硕士学历原版一模一样
 
Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...Advanced control scheme of doubly fed induction generator for wind turbine us...
Advanced control scheme of doubly fed induction generator for wind turbine us...
 
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have oneISPM 15 Heat Treated Wood Stamps and why your shipping must have one
ISPM 15 Heat Treated Wood Stamps and why your shipping must have one
 
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdfBPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
BPV-GUI-01-Guide-for-ASME-Review-Teams-(General)-10-10-2023.pdf
 
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样学校原版美国波士顿大学毕业证学历学位证书原版一模一样
学校原版美国波士顿大学毕业证学历学位证书原版一模一样
 

Voltage Divider and Current Divider Rule.pptx

  • 1. Voltage Divider and Current Divider Rule
  • 2. Voltage Division Rule  A series circuit acts as a voltage divider as it divides the total supply voltage into different voltages across the circuit elements.  Figure shows a voltage divider circuit in which the total supply voltage V has been divided into voltages V1 and V2 across two resistances R1 and R2.  Although, the current through both resistances is same, i.e., I.
  • 3. Voltage Division Rule As per Ohm’s law, V1 = IR1; V2 = IR2 Total Resistance R = R1 + R2 ----(1) V=IR = I (R1+R2) ---- (2) But I = 𝑉1 𝑅1 = 𝑉2 𝑅2 ----- (3) From Eqn (2) & (3), we have V = 𝑉1 𝑅1 (R1 + R2) V1 = 𝑉𝑅1 (𝑅1+𝑅2) ----- (4) Similarly, V = 𝑉2 𝑅2 (R1 + R2) V2 = 𝑉𝑅2 (𝑅1+𝑅2) ----- (4) Hence, from equations of voltage division rule, it may be said that the voltage across a resistor in a series circuit is equal to the product of the value of that resistor and the total supply voltage, divided by the total resistance of the series resistors.
  • 4. Practice Problem 2 Find the voltage across resistors R1 and R2 in the circuit
  • 5. Three resistive elements of 6kΩ, 12kΩ and 18kΩ are connected together in series across a 36 volt supply. Calculate, the total resistance, the value of the current flowing around the circuit, and the voltage drops across each resistor.
  • 6. Current Divider Rule  A parallel circuit acts as a current divider as it divides the total circuit current in its all branches.  Figure shows a current divider circuit in which the total circuit current I has been divided into currents I1 and I2 in two parallel branches with resistances R1 and R2.  Although, we can notice that the voltage drop across both resistances is same, i.e., V.
  • 7. Current Divider Rule According to Ohm’s law, I1 = 𝑉 𝑅1 I2 = 𝑉 𝑅2 Let R be the equivalent Resistance of the above circuit. R = 𝑅1𝑅2 (𝑅1+𝑅2) ------ (1) From the circuit, I = 𝑉 𝑅 = V x (𝑅1+𝑅2) 𝑅1𝑅2 ------ (2) Voltage across both the resistances are equal. V = I1R1 = I2R2 ---- (3) From eqn (2) & (3), I = I1R1 (𝑅1+𝑅2) (𝑅1𝑅2) = I1 (𝑅1+𝑅2) 𝑅2 I1 = 𝐼𝑅2 (𝑅1+𝑅2) ----- (4) Similarly, I = I2R2 (𝑅1+𝑅2) (𝑅1𝑅2) = I2 (𝑅1+𝑅2) (𝑅1) I2 = 𝐼𝑅1 (𝑅1+𝑅2) ----- (5) Equations (4) and (5) give the expressions of current division rule. From these equations, we may state that the current in any of the parallel branches is equal to the ratio of opposite branch resistance to the sum of all resistances, multiplied by the total circuit current.
  • 8. Practice Problem 1 Find the currents I1 and I2 in the parallel circuit
  • 9. Calculate the current flow in each branch of the circuit shown below: