INSTITUTE UIE
DEPARTMENT ACADEMIC UNIT-1
Bachelor of Engineering (Computer Science & Engineering)
Subject Name Basic Electrical & Electronics Engineering
Subject Code 21ELH-101
Prepared By
AKHIL NIGAM
Unit-1 Chapter-1
Series RLC Circuit
Lecture No.5
DISCOVER . LEARN . EMPOWER
Lecture
Objectives
S. No. Objectives
1 To make student aware about analysis of series RL circuit
2 To aware about analysis of series RC circuit
3 To provide knowledge about analysis of series RLC circuit
4 To make familiar with importance of power factor in series RL, RC and RLC circuit
https://www.quora.com/What-a
re-the-differences-between-a-cir
5 To give brief knowledge about phasor diagram of series RL, RC and RLC circuit cuit-and-an-electric-circuit
2
Course
Objectives
S. No. Objectives
1 To meet students with basic knowledge of dc circuits, electromagnetism and ac fundamentals.
To aware about introduction to single and three phase ac circuit with their construction and
2 working principles.
3 To provide knowledge about electrical and electronics engineering fundamentals.
4 To acquire specific knowledge skills so as to comprehend how electric, magnetic and electronic
circuits are applied in practice.
https://library.automationdirect.com/basic-el
ectrical-theory/
3
Course Outcomes
CO
Numbe Title Level
r
Identify the different types of electrical elements and the basic op-amp
CO1 circuit elements and to illustrate the various types of motors, transducers Remember
and batteries.
Understand basic principles of transformers, transducers, op-amps, DC
CO2 and AC motors and to compare the different methods for analyzing Understand
electrical and magnetic circuits.
Derive the relationships between parameters in electric and magnetic
CO3 circuits and motors and to determine specifications of op-amps. Analyze
Solve the basic problems related to electric circuits, magnetic circuits and
CO4 motors and to assess the characteristics of different configurations of op- Evaluate
amps. https://library.automationdirect.com/basic-el
ectrical-theory/
Design the different applications of transducers, motors as well as the op-
CO5 amps like adders, subtractor and comparators. Create
4
Importance of Basic Electrical &
Electronics Engineering
• Use from home appliances to industrial plants.
• Usage in communication and satellite navigation system.
• Handles in electronics equipment and computers.
• Deals with the problem of power transmission and motor control.
• Control and monitor the medical appliances in hospitals.
• High voltage applications with heavy current.
• Robotics applications.
• Product designing and development.
5
Content
DC and AC Circuits:
1. Analysis of RL Circuit(Phasor Diagram , Impedance, Power
and Current in RL Circuit)
2. Analysis of RC Circuit(Phasor Diagram , Impedance, Power
and Current in RC Circuit)
3. Analysis of RLC Circuit(Phasor Diagram , Impedance and
Power in RLC Circuit)
6
Series RL Circuit
In Series RL Circuit, resistor and inductor
are connected in series, so current
flowing through both the elements is
same
i.e IR=IL=I.
We are using ac voltage V = Vm sinωt
VR – voltage across the resistor R
VL – voltage across the inductor L
Fig.1 series RL circuit
V – Total voltage of the circuit
https://circuitglobe.com/what-is-rl-series-circuit.html
7
Phasor Diagram of Series RL Circuit
From the phasor diagram we can write
……….(1)
………………………….….(2)
………………………………….…….(3)
Fig.2 Phasor diagram of series RL circuit
https://circuitglobe.com/what-is-rl-series-circuit.html
8
Phasor Diagram of Series RL Circuit
From the phasor diagram we can write
phase angle such as:
……………..(4)
…………………………….(5)
Power Factor of the circuit will be
Contd. Fig.2 Phasor diagram of series RL circuit
https://circuitglobe.com/what-is-rl-series-circuit.html
9
Series RC Circuit
In Series RC Circuit, resistor and
capacitor are connected in series, so
current flowing through both the elements
is same
i.e IC=IL=I.
We are using ac voltage V = Vm sinωt
VR – voltage across the resistor R
VC – voltage across the capacitance C
Fig.3 Series RC circuit
V – Total voltage of the circuit
https://circuitglobe.com/what-is-rc-series-circuit.html
10
Phasor Diagram of Series RC Circuit
From the phasor diagram we can write
………….(1)
…………………………….(2)
…………………….……….(3)
Fig.4 Phasor dig. of Series RC circuit
………………………….…….(4)
https://circuitglobe.com/what-is-rc-series-circuit.html
11
Phasor Diagram of Series RC Circuit
From the phasor diagram we can write
phase angle.
…………………(1)
…………………………………(2)
Power Factor of the circuit will be
Contd. As Fig.4 Phasor dig. of Series RC circuit
https://circuitglobe.com/what-is-rc-series-circuit.html
12
Series RLC Circuit
In Series RLC Circuit, resistor, inductor
and capacitor are connected in series, so
current flowing through both the elements
is same
i.e IR = IC= IL= I.
We are using ac voltage V = Vm sinωt
VR – voltage across the resistor R
VL – voltage across the inductance L Fig.5 Series RLC circuit
VC – voltage across the capacitance C
V – Total voltage of the circuit https://circuitglobe.com/what-is-rlc-series-circuit.html
13
Phasor Diagram of Series RLC Circuit
From the phasor diagram we can write
…..(1)
………………………….…..(2)
………………………….…..(3)
…………………………...(4) Fig.6 Phasor dig. of series RLC circuit
https://circuitglobe.com/what-is-rc-series-circuit.html
14
Phasor Diagram of Series RLC Circuit
From the phasor diagram we can write
phase angle such as
…………(1)
………………….……(2)
Power factor of the circuit
Fig. 7 Phasor dig. of series RLC circuit
https://circuitglobe.com/what-is-rc-series-circuit.html
15
Summary
Analysis of Series RL Circuit.
Derivation of phasor of series RL circuit.
Analysis of Series RC Circuit.
Derivation of phasor of series RC circuit.
Analysis of Series RLC Circuit.
Derivation of phasor of series RLC circuit.
16
Frequently Asked Questions
Q1. In a series R-L circuit, VL ……...VR by………degrees.
A. leads, 90
B. lags, 90
C. leads, 45
D. lags,45
Q2. Voltage applied across R-L circuit is equal to ………………of
VR and VL.
A. Arithmetic Sum
B. Algebraic Sum
C. Phasor Sum
D. Sum of the squares
Frequently Asked Questions
Q3. Power factor of an AC circuit is
A.0
B.1
C.Between 0 and 1
D.Between 0 and -1
Q4. A capacitor having a capacitance of 20 µF is connected in series
with a non-inductive resistance 120 Ω across a 100 volt, 50 Hz supply.
Calculate:
(i)Phase difference between supply voltage and current.
(ii)Power
To make students understand
• Concepts of series RL circuit with its
LEARNING phasor diagram.
OUTCOMES
• Concepts of series RC circuit with its
phasor diagram.
• Fundamentals of series RLC circuit
with its phasor diagram.
19
Course Outcome to Program Outcome
Relationship
(21ELH-101) BEEE
PO→
CO↓ PO PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PSO1 PSO2 PSO3
1
CO1 3 2 3
CO2 3 2 3
CO3 3 2 3
CO4 3 2 3
CO5 3 2 3
20
Assessment Pattern
A B C D E F G
Assignment Time Bound Quiz (each Mid Semester Homework Discussion Attendance
(each Surprise Test quiz) Test(one per Forums and
assignment) (each test) test) engagement
Score on BB
10 12 4 20 NA NA 2
21
References
Books:
• Bhattacharya,S.K (2011).Basic Electrical and Electronics Engineering.
Pearson
• Nagrath(2001).Basic Electrical Engineering. McGraw-Hill
Education(India) Pvt. Ltd.
Weblinks:
• https://www.electrical4u.com/rl-series-circuit/
• https://
www.allaboutcircuits.com/textbook/alternating-current/chpt-4/series-re
sistor-capacitor-circuits
/ 22
THANK YOU
For queries
Email: akhilnigam.eee@cumail.in
