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ELECTRIC CIRCUIT ANALYSIS - I

ELECTRIC CIRCUIT ANALYSIS - I. Chapter 15 – Series & Parallel ac Circuits Lecture19 - 21 (Tutorial) by Moeen Ghiyas. TODAY’S lesson. Chapter 15 – Series & Parallel ac Circuits. Today’s Lesson Contents. (Series & Parallel ac Circuits) Solution to Related Problems. Solution to Problems.

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ELECTRIC CIRCUIT ANALYSIS - I

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  1. ELECTRIC CIRCUIT ANALYSIS - I Chapter 15 – Series & Parallel ac Circuits Lecture19 - 21 (Tutorial) by MoeenGhiyas

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

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

  4. Solution to Problems • # 1e. Express the impedance of fig. in both polar and rectangular forms. • Solution.

  5. Solution to Problems • # 2c. 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

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

  7. Solution to Problems • # 6a. 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

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

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

  10. Solution to Problems • # 7. For the circuit of Fig: • Find the current I and the voltages VR and VL in phasor form. • Draw phasor diagram. • Verify result through KVL. • Solution • Self exercise for phasor diagram and KVL verification

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

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

  13. Solution to Problems • # 13. Using the DMM current reading and the oscilloscope measurement: (a) Determine the inductance L • Solution.

  14. Solution to Problems • # 13 (b) Find the resistance R. • Solution.

  15. 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.

  16. Solution to Problems • # 30. For the circuit of fig : • a. Find total admittance. • b. Draw admittance diagram. • Solution: • Admittance diagram as shown

  17. Solution to Problems • # 30. For the circuit of fig : • c. Find the value of C and L. • Solution:

  18. 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

  19. 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:

  20. 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

  21. Summary / Conclusion • (Series & Parallel ac Circuits) • Solution to Related Problems

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