EC331_2013_07.pdf

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India Indian Institute of Technology Roorkee Millimeter Wave Laboratory ENGINEERING ELECTROMAGNETICS Dr. M.V. Kartikeyan Professor Department of Electronics & Communication Engineering Indian Institute of Technology Roorkee Roorkee 247 667, Uttarakhand, India Email: [email protected] / [email protected]

Transcript of EC331_2013_07.pdf

Page 1: EC331_2013_07.pdf

Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

ENGINEERING ELECTROMAGNETICS

Dr. M.V. KartikeyanProfessorDepartment of Electronics & Communication EngineeringIndian Institute of Technology RoorkeeRoorkee 247 667, Uttarakhand, India

Email: [email protected] / [email protected]

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

Lesson#07

1. Recap2. Boundary Conditions3. Sinusoidal Steady State, Phasors4. Home Work Problems

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

1. Recap

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

Materials contain charged particles that under the applicationof external fields respond giving rise to three basic phenomenaknown as conduction, polarization, and magnetization.

Although a material may exhibit all three properties, it isclassified as a conductor, a dielectric, or a magnetic materialdepending upon whether conduction, polarization, ormagnetization is the predominant phenomenon.

While these phenomena occur on the atomic or ‘‘microscopic’’scale, it is sufficient for our purpose to characterize thematerial based on ‘‘macroscopic’’ scale observations, that is,observations averaged over volumes large compared withatomic dimensions.

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

Instantaneous Fields

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

2. Boundary Conditions

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

3. Sinusoidal Steady State, Phasors

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

4. Home Work Problems

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

P01

P02

P03

P04

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

P05

P06

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Kartik @ , Department of Electronics & Communication Engineering, IITR, Roorkee 247667, India

Indian Institute of Technology Roorkee

Millimeter Wave Laboratory

THANK YOU FOR YOUR KIND ATTENTION !