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Lec2-Vectors - ECSE 351 Electromagnetic Fields McGill...

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ECSE 351 Electromagnetic Fields McGill University – ECE Dept. - Prof. Milica Popovi ć Lecture 1: Vector Analysis Objective: learn an important tool No detailed mathematical proofs PLEASE pay attention to this chapter and make certain that you are comfortable with all the concepts – even if much of it may seem familiar. Drill problems given throughout the text – highly recommended!
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? Vector Scalar ? magnitude magnitude & direction Can you think of some examples? McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic
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Scalar and vector FIELDS What is a field? A function that connects origin with some point in space (temperature in bowl of soup) Always related to a region (bowl) Some quantity is defined at EVERY point of the region (e.g. temperature and temperature gradient ) McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic
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NOTATION – do not forget to note if a quantity is a vector! In book – boldface When we write McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic
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Vector addition: McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic -→ A + -→ B
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Vector subtraction: McGill – ECE – ECSE 351 Electromagnetic Fields – Prof. M. Popovic Reversed, Opposite direction -→ A - -→ B = -→ A + ( - -→ B )
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