This document provides a summary of a group presentation on series AC circuits. Group 11, consisting of Robiul Awal Robi, Abdul Wahid, and Abu Jauad Khan Aliv, will be presenting on R-L series circuits, R-C series circuits, and R-L-C series circuits. The document outlines the analysis of each circuit type, including equations for total voltage and phase angle. It also notes a special case where the inductor and capacitor impedances are equal, resulting in a purely resistive circuit with zero phase angle. Sources for the material are listed at the end.

1. WELCOME

2. GROUP 11
Robiul Awal Robi
Abdul Wahid
Abu Jauad Khan Aliv
11105092
11105197
11105137

3. Presentation Going On …
 Series Ac Circuit
 R-L Series Circuit
 R-C Series Circuit
 R-L-C Series Circuit

4. RL Series Circuit

5. RL Series Circuit
• The total voltage in a series
RL circuit is given by this
equation:
• VT = total voltage
VR = voltage across resistor R
VL = voltage across inductor L
 The total voltage is
NOT equal to the sum
of the voltages across
the resistor and
inductor
 The sum of voltages is
always greater than
the sum of the
voltages across the
resistive and
inductive components

6. ANALYSIS of RL
Calculate the value of XL: XL
= 2∏fL
Calculate the Equation
 Alternating total
impedance:
• v = vm sin ωt
 IT = VT / Z
• i = Im sin ( ωt – ф )
 VR = RIR , VL = XLIR
 Calculate the total phase
angle for the circuit:
ф = tan-1(XL/ R)

7. RC Series Circuit

8. Analysis of RC
• The total voltage in a series RC
 circuit is givenCEquation
Here VR=IR , V =IXthis equation:
Alternating by C
 Impedence:sin ωt
• v=v
m
• i = Im sin ( ωt + ф )
 phase angle:
Ø=tan-1XC/R

9. RLC Series Circuit

10. ANALYSIS of RLC
CONDITION
 V2series = V2R + (VL - VC)2
 If XL>XC :
Now VR = IR, VL = IXL = IωL and VC = IXC= I/ωC.
Phase angle Ǿ is positive
Substituting and taking the common factor I
gives:
Circuit is Positive
 If XC>XL :
Phase (XL - XC 2
Zseries2 = R2 +angle)Ǿ is Negative
Circuit is Negative
The angle by which the voltage leads
the current is
φ = tan-1 ((VL - VC)/VR)
Substituting VR = IR, VL = IXL = IωL VC =
IXC= I/ωC gives:

11. Special Case
XL=XC
Circuit is purely
resistive
Phase angle Ǿ=0

12. SOURCES
• http://forum.allaboutcircuits.com/blog.php
• http://www.allaboutcircuits.com/vol_1/index.
html
• Book: V.K Mehta

13. QUESTION
SESSION

14. • Contact: 01672462007
• Country : Bangladesh