6002_l3 - Cite as: Anant Agarwal and Jeffrey Lang, course...

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Unformatted text preview: Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 6.002 Fall 2000 Lecture 3 6.002 CIRCUITS AND ELECTRONICS Superposition, Thévenin and Norton Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 6.002 Fall 2000 Lecture 3 = ∑ loop i V Review Circuit Analysis Methods z Circuit composition rules z Node method – the workhorse of 6.002 KCL at nodes using V ’s referenced from ground (KVL implicit in “ ”) ( ) j i e e − G z KVL: KCL: = ∑ node i I VI Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 6.002 Fall 2000 Lecture 3 Consider Linearity Write node equations – V I 1 R 2 R + – J 2 1 = − + − I R e R V e Notice: linear in I V e , , VI , eV No terms e Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 6.002 Fall 2000 Lecture 3 Consider Linearity Write node equations -- Rearrange -- V I 1 R 2 R + – J 2 1 = − + − I R e R V e I R V e R R + = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + 1 2 1 1 1 G e S conductance matrix node voltages linear sum of sources linear in I V e , , Cite as: Anant Agarwal and Jeffrey Lang, course materials for 6.002 Circuits and Electronics, Spring 2007. MIT OpenCourseWare (http://ocw.mit.edu/), Massachusetts Institute of Technology. Downloaded on [DD Month YYYY]. 6.002 Fall 2000 Lecture 3 Linearity or I R R R R V R R R e 2 1 2 1 2 1 2 + + + = … … + + + + + = 2 2 1 1 2 2 1 1 I b I b V a V a e Write node equations -- Rearrange -- 2 1 = − + − I R e R V e I R V e R R + = ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ + 1 2 1 1 1 G e S = conductance matrix node...
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6002_l3 - Cite as: Anant Agarwal and Jeffrey Lang, course...

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