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1
EE-226 Circuit Analysis-II Lab#5 Report
Spring 2021
Experiment: Measurement of Inductive Reactance
and Impedance of a Series RL Circuit
Work-station No. : 13
Section: BSEE 19-23 - B
Group members:
Muhammad Uzair Arshad
Mudassar Manzoor
Instructor: Dr. Ghulam Mustafa
Lab Engineer: Eng. Bilal Ahmed
Department of Electrical Engineering
Pakistan Institute of Engineering & Applied Sciences
2 Lab 5 : Measurement of Inductive Reactance and Impedance of RL circuit
- 5.1 Lab no.5 : Measurement of Inductive Reactance and Impedance of a Series RL Circuit____________ Table of Contents
- 5.2 Abstract________________________________________________________________________
- 5.3 Introduction:____________________________________________________________________
- 5.3.1 Objective:_________________________________________________________________
- 5.3.2 Background:_______________________________________________________________
- 5.4 Equipment:_____________________________________________________________________
- 5.5 Procedure:______________________________________________________________________
- 5.6 Results:________________________________________________________________________
- 5.6.1 Calculations for experimental results:___________________________________________
- 5.6.2 Circuit of series RL circuit:___________________________________________________
- 5.6.3 Output plots from oscilloscope:________________________________________________
- 5.7 Discussion:_____________________________________________________________________
- 5.8 Conclusion:_____________________________________________________________________
- 5.9 Appendix: Pre-Lab #5: Measurement of Inductive Reactance and reactance of a Series RL Circuit
- 5.9.1 Simulation Results:__________________________________________________________
- 5.9.2 Theoretical Calculations:____________________________________________________
- Figure 5. 1 : Schematic diagram of series RL circuit._____________________________________________
- Figure 5. 2 : Calculations of Series RL circuit from experimental results for 5KHz frequency_____________
- Figure 5. 3 : Series RL Circuit from lab experiment______________________________________________
- Figure 5 4 : Voltage across Inductor at 5K frequency is 0.42V.____________________________________
- Figure 5 5 : Voltage across Resistor at 5K frequency is 0.88V.____________________________________
- Figure 5. 6 : Voltage at input at 5K frequency is 1V._____________________________________________
- Table 5 1 : Experimental Results for parameters of Series RL circuit________________________________
- Figure 5. 7 : Observation table of parameters of series RL circuit from lab experiment__________________
- Figure 5. 8 : RL circuit schematic diagram_____________________________________________________
- Table 5. 4 : Simulate Results of parameters of series RL circuit___________________________________
- Table 5. 2 :Reactance of inductor for different values of inductance._______________________________
- Table 5. 3 : Graph between Inductive Reactance and Frequency___________________________________
(^4) Lab 5 : Measurement of Inductive Reactance and Impedance of RL circuit
- 1 .5kฮฉ resistor
- 100 mH inductor 5.5 Procedure:
- Using the DMM, measure the actual resistance of the resistor and note it down some where.
- Wire the circuit as shown in Figure 5 .1. Figure 5. 1 : Schematic diagram of series RL circuit.
- Calculate the theoretical values of XL record in column XL(Theory) in Table 5.1.
- Wire the circuit as shown in Figure 5.1.
- Set the function generator to generate a sinusoidal signal of 500 Hz and 1 volt peak (2 volts peak- peak).
- Measure the voltage across the circuit by using oscilloscope between points 1 and 3 and record in column Vt.
- Measure the voltage across the resistor between points 1 and 2 and inductor between points 2 and 3 and record in columns VR and VL in the table.
- Calculate the total current in the circuit by using ๐๐ = ๐๐ ๐ and record in column It.
- Calculate the total impedance of the circuit by using ๐๐ = ๐๐ ๐๐ and record in column Zt.
- Calculate XL by using ๐๐ = ๐๐^2 โ ๐^2 and record in column XL.
- Calculate the % deviation.
5 5.6 Results: 5.6.1 Calculations for experimental results: Figure 5. 2 : Calculations of Series RL circuit from experimental results for 5KHz frequency 5.6.2 Circuit of series RL circuit: Figure 5. 3 : Series RL Circuit from lab experiment
7 Below is the table containing experimental values at different frequencies: Frequency (Hz)
VR
(Volts)
VL
(Volts) Vt (Volts) It (mA) Zt (ฮฉ)
XL EXP
XL Th (ฮฉ) Deviation (%) 500 0.89 0.21 1 5.93E-04 1521.73 353.93 314.16 -12. 1000 0.83 0.36 1 5.53E-04 1616.69 650.60 628.32 -3. 1500 0.76 0.48 1 5.07E-04 1757.24 947.37 942.48 -0. 2000 0.71 0.58 1 4.73E-04 1921.43 1225.35 1256.64 2. 2500 0.65 0.67 1 4.33E-04 2140.33 1546.15 1570.80 1. 3000 0.59 0.74 1 3.93E-04 2393.72 1881.36 1884.96 0. 3500 0.55 0.8 1 3.67E-04 2636.42 2181.82 2199.11 0. 4000 0.50 0.82 1 3.33E-04 2870.89 2460.00 2513.27 2. 4500 0.47 0.85 1 3.13E-04 3090.23 2712.77 2827.43 4. 5000 0.42 0.88 1 2.80E-04 3473.90 3142.86 3141.59 -0. Table 5. 1 : Experimental Results for parameters of Series RL circuit
(^8) Lab 5 : Measurement of Inductive Reactance and Impedance of RL circuit Figure 5. 7 : Observation table of parameters of series RL circuit from lab experiment
(^10) Lab 5 : Measurement of Inductive Reactance and Impedance of RL circuit 3500 0.645 0.596 0.995 4.30E-04 2313.95 1761.93 2199.11 19. 4000 0.605 0.634 0.992 4.03E-04 2459.50 1949.14 2513.27 22. 4500 0.569 0.654 0.998 3.79E-04 2630.93 2161.43 2827.43 23. 5000 0.533 0.681 0.996 3.55E-04 2803.00 2367.87 3141.59 24. 5500 0.507 0.704 0.997 3.38E-04 2949.70 2539.83 3455.75 26. Table 5. 4 : Simulate Results of parameters of series RL circuit 5.9.2 Theoretical Calculations:
The reactance of an inductor is the opposition to the flow of current it is calculated by
using following formula:
XL = 2 ฯ โ f โ L
The formula suggests, if inductance is kept constant the reactance of inductor is directly
proportional to applied frequency, i.e. reactance increases on increasing frequency. Thats
why inductor acts as short circuit for DC current and open circuit for AC current.
Now, we will calculate reactance of the inductor for different values of frequency, ranging
from 500Hz to 5500Hz.
Frequency Reactance 500 314. 1000 628. 1500 942. 2000 1256. 2500 1570. 3000 1884. 3500 2199. 4000 2513. 4500 2827. 5000 3141. 5500 3455. 6000 3769. 6500 4084. Table 5. 2 :Reactance of inductor for different values of inductance.
11 Table 5. 3 : Graph between Inductive Reactance and Frequency
