Academic Presentation Based on Series AC circuit

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