Fundamentals of Electric Circuits

Fundamentals of Electric Circuits - Fundamentals of...

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Unformatted text preview: Fundamentals of Fundamentals of Electric Circuits Electric Circuits Taught by Prof. Zhang Taught by Prof. Zhang TA: TA: Tianyi Tianyi Wang Wang 01/14/2007 Text Book Text Book Fundamentals of Electric Circuits bundled Fundamentals of Electric Circuits bundled w/Netgrade w/Netgrade CD; CD; Alexander and Alexander and Sadiku Sadiku ; ; McGraw Hill, ISBN: 0073643300 McGraw Hill, ISBN: 0073643300 What you should know before the class? What you should know before the class? Simultaneous Equations and Matrix Inversion Simultaneous Equations and Matrix Inversion Appendix A Appendix A Complex Numbers Complex Numbers Appendix B Appendix B Mathematical Formulas Mathematical Formulas Appendix C Appendix C All these topics can be found in linear algebra and calculus Simultaneous Equations and Matrix Simultaneous Equations and Matrix Inversion(1) Inversion(1) 11 1 12 2 1 1 21 1 22 2 2 2 1 1 2 2 n n n n m m n n n n a x a x a x b a x a x a x b a x a x a x b + + + = + + + = + + + = L L LLLL L 11 12 1 1 1 21 22 2 2 2 1 2 n n m m n n n n a a a x b a a a x b a a a x b = L L M M L M M M L A X B So, we can write in this way: A X B = Simultaneous Equations and Matrix Simultaneous Equations and Matrix Inversion(2) Inversion(2) Cramer Cramer s Rule s Rule 1 2 1 2 11 1 1 1 1 1 1 21 2 1 2 2 1 2 1 1 1 ... ... ... ... ... ... ... ... ... ... ... ... ... ... ( 1,2,..., ) n n j j n j j n j n nj n nj nn x x x a a b a a a a b a a a a b a a j n + + + = = = = = where Notice: 1. is the determinant of matrix A and j is the determinant of the matrix formed by replacing the jth column of A by B....
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Fundamentals of Electric Circuits - Fundamentals of...

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