ELECTRIC CIRCUIT ANALYSIS I Chapter 15 Series Parallel

  • Slides: 22
Download presentation
ELECTRIC CIRCUIT ANALYSIS - I Chapter 15 – Series & Parallel ac Circuits Lecture

ELECTRIC CIRCUIT ANALYSIS - I Chapter 15 – Series & Parallel ac Circuits Lecture 19 - 21 (Tutorial) by Moeen Ghiyas 14/12/2021 1

Chapter 15 – Series & Parallel ac Circuits TODAY’S lesson

Chapter 15 – Series & Parallel ac Circuits TODAY’S lesson

Today’s Lesson Contents � (Series & Parallel ac Circuits) � Solution to Related Problems

Today’s Lesson Contents � (Series & Parallel ac Circuits) � Solution to Related Problems 14/12/2021 3

Solution to Problems �# 1 e. Express the impedance of fig. in both polar

Solution to Problems �# 1 e. Express the impedance of fig. in both polar and rectangular forms. �Solution. 14/12/2021 4

Solution to Problems � # 2 c. Find the current i for the elements

Solution to Problems � # 2 c. Find the current i for the elements of fig. using complex algebra. Sketch the waveforms for v and i on the same set of axes. � Solution. �. Sketch as on white board 14/12/2021 5

Solution to Problems � # 5 a. Calculate the total impedance of the circuit

Solution to Problems � # 5 a. Calculate the total impedance of the circuit in rectangular and polar forms, and draw the impedance diagram. � Solution. 5Ω � Impedance diagram as on white board 14/12/2021 6

Solution to Problems � # 6 a. Find the type and impedance in ohms

Solution to Problems � # 6 a. Find the type and impedance in ohms of the series circuit elements that must be in the closed container of Fig � Solution. � Draw resistance and capacitor in series in the box 14/12/2021 7

Solution to Problems � # 7. For the circuit of Fig: a) Find the

Solution to Problems � # 7. For the circuit of Fig: a) Find the total impedance ZT in polar form. b) Draw the impedance diagram. c) Find the current I and the voltages VR and VL in phasor form. d) Draw the phasor diagram of the voltages E, VR , and VL , and the current I. e) Verify Kirchhoff’s voltage law around the closed loop. f) Find the average power delivered to the circuit. g) Find the power factor of the circuit, and indicate whether it is leading or lagging. h) Find the sinusoidal expressions for the voltages and current if the frequency is 60 Hz. i) Plot the waveforms for the voltages and current on the same set of axes. 14/12/2021 8

Solution to Problems � # 7. For the circuit of Fig: a) Find the

Solution to Problems � # 7. For the circuit of Fig: a) Find the total impedance ZT in polar form. b) Draw the impedance diagram. � Solution � (a) � (b) Impedance diagram as on white board 14/12/2021 9

Solution to Problems � # 7. For the circuit of Fig: c) Find the

Solution to Problems � # 7. For the circuit of Fig: c) Find the current I and the voltages VR and VL in phasor form. d) Draw phasor diagram. e) Verify result through KVL. � Solution � Self exercise for phasor diagram and KVL verification 14/12/2021 10

Solution to Problems � # 7. For the circuit of Fig: f) Find the

Solution to Problems � # 7. For the circuit of Fig: f) Find the average power delivered to the circuit. g) Find the power factor of the circuit, and indicate whether it is leading or lagging. � Solution � (f) � (g) 14/12/2021 11

Solution to Problems � # 7. For the circuit of Fig: h) Find the

Solution to Problems � # 7. For the circuit of Fig: h) Find the sinusoidal expressions for the voltages and current if the frequency is 60 Hz. i) Plot the waveforms for the voltages and current on the same set of axes. � Solution � (h) � (i) Plot as on white board 14/12/2021 12

Solution to Problems �# 13. Using the DMM current reading and the oscilloscope measurement:

Solution to Problems �# 13. Using the DMM current reading and the oscilloscope measurement: (a) Determine the inductance L �Solution. 14/12/2021 13

Solution to Problems �# 13 (b) Find the resistance R. �Solution. 14/12/2021 14

Solution to Problems �# 13 (b) Find the resistance R. �Solution. 14/12/2021 14

Solution to Problems � # 30. For the circuit of Fig. : � a.

Solution to Problems � # 30. For the circuit of Fig. : � a. Find the total admittance YT. � b. Draw the admittance diagram. � c. Find the value of C in microfarads and L in henries. � d. Find the voltage E and currents IR, IL, and IC in phasor form. � e. Draw the phasor diagram of the currents Is, IR, IL, and IC, and the voltage E. � f. Verify Kirchhoff’s current law at one node. � g. Find the average power delivered to the circuit. � h. Find the power factor of the circuit, and indicate whether it is leading or lagging. � i. Find the sinusoidal expressions for the currents and voltage. � j. Plot the waveforms for the currents and voltage on the same set of axes. 14/12/2021 15

Solution to Problems � # 30. For the circuit of fig : � a.

Solution to Problems � # 30. For the circuit of fig : � a. Find total admittance. � b. Draw admittance diagram. � Solution: � Admittance diagram as shown 14/12/2021 16

Solution to Problems � # 30. For the circuit of fig : � c.

Solution to Problems � # 30. For the circuit of fig : � c. Find the value of C and L. � Solution: 14/12/2021 17

Solution to Problems � # 30. For the circuit of fig : � e.

Solution to Problems � # 30. For the circuit of fig : � e. Draw the phasor diagram � d. Find the voltage E and currents IR, IL, and IC in phasor form. � Solution: Phasor diagram as shown 14/12/2021 18

Solution to Problems � # 30. For the circuit of fig : � f.

Solution to Problems � # 30. For the circuit of fig : � f. Verify Kirchhoff’s current law. � g. Find the average power delivered to the circuit. � h. Find the power factor of the circuit � Solution:

Solution to Problems � # 30. For the circuit of fig : � i.

Solution to Problems � # 30. For the circuit of fig : � i. Find the sinusoidal expressions. � j. Plot the waveforms for the currents and voltage on the same set of axes. � Solution: � Plot the waveform yourself as an exercise

Summary / Conclusion � (Series & Parallel ac Circuits) � Solution to Related Problems

Summary / Conclusion � (Series & Parallel ac Circuits) � Solution to Related Problems

14/12/2021 22

14/12/2021 22