ELL100: INTRODUCTION TO ELECTRICAL ENGG.

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Presentation transcript:

ELL100: INTRODUCTION TO ELECTRICAL ENGG. Lecture 8 Course Instructors: J.-B. Seo, S. Srirangarajan, S.-D. Roy, and S. Janardhanan Department of Electrical Engineering, IITD

Response to a forcing function

Response to a forcing function

Response to a forcing function

Impedance the ratio of voltage to current for exponential waveform extends the concept of resistance to AC circuits a complex number; units same as resistance (Ohms) It has both magnitude and phase; unlike resistance, which has only magnitude.

Impedance the ratio of voltage to current for exponential waveform extends the concept of resistance to AC circuits a complex number; units same as resistance (Ohms) It has both magnitude and phase; unlike resistance, which has only magnitude.

Impedance

Impedance

Impedance

Impedance

Impedance

Impedance

Impedance

Example

Example

Example

Example

Representation of Sinusoids by exponential

Representation of Sinusoids by exponential

Phasor representation Express in terms of Effective/RMS value Phasor:

Phasor representation Express in terms of Effective/RMS value Phasor:

Phasor representation Express in terms of Effective/RMS value Phasor:

Phasor representation Write down the equation of the current shown below as a function of time Represent the current by phasor The current reaches a positive maximum of 10 (A) at

Phasor representation Write down the equation of the current shown below as a function of time Represent the current by phasor The current reaches a positive maximum of 10 (A) at

Phasor representation Write down the equation of the current shown below as a function of time Represent the current by phasor The current reaches a positive maximum of 10 (A) at

Phasor representation Write down the equation of the current shown below as a function of time Represent the current by phasor The current reaches a positive maximum of 10 (A) at

Example

Example 

Example  

Example  

Example

Example

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance & Phasor representation

Impedance