KCL_KVL_v4

KCL_KVL_v4 - Founda'ons of Circuit Analysis: ...

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Unformatted text preview: Founda'ons of Circuit Analysis:  KVL and KCL  DePiero  EE 201  Learning Objec'ves  •  Apply  Kirchhoﬀ’s Laws to analyze simple electrical circuits and derive the basic circuit equa;ons. Kirchoﬀ’s Laws Provide Founda'on  For Circuit Analysis  •  Analogy: Use F = mA or Conserva'on of  Energy for analysis purposes.  ∑I = 0 •  Kirchoﬀ’s Current Law (KCL)  k k –  ‘Sum of currents into a node equal zero’  –  ‘Sum of currents into a node must equal the  € outgoing currents’  –  ‘Nodes don’t accumulate charge’  •  Kirchoﬀ’s Voltage Law (KVL)  ∑V k k =0 –  ‘Sum of voltages around a loop equal zero’  € Kirchoﬀ’s Laws Provide Founda'on  For Circuit Analysis  •  KCL:  ∑ I k =0 k –  Find Ix  € •  KCL holds for ‘Super Node’  –  Consider ﬁnding Iy = ?  –  Apply KCL at super node!  –  Super node deﬁni'on:   •  A por'on of a circuit  Kirchoﬀ’s Laws Provide Founda'on  For Circuit Analysis  •  KCL:  ∑ I k =0 k –  Find Ix  € •  KCL holds for ‘Super Node’  –  Consider ﬁnding Iy = ?  –  Apply KCL at super node  –  Iy = 3A  •  What goes in, must come  out of a (super) node  Define Super Node Kirchoﬀ’s Laws Provide Founda'on  For Circuit Analysis  •  KVL:  ∑V k =0 k –  Find V1, V2  –  Apply KVL to each mesh  € to form 2 equa'ons, then  solve for 2 unknowns.  For proper polari*es with KVL:  1) Traverse mesh in either direc'on.  2) Add Vi if (+) terminal encountered ﬁrst, subtract if (‐) terminal encountered ﬁrst.  ...
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This note was uploaded on 10/24/2011 for the course EE 251 taught by Professor Arakaki during the Spring '08 term at Cal Poly.

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