m1_eqns - Equations and parameter values for EECE...

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Equations and parameter values for EECE 254 (Module 1) Diode Current - Voltage Relationships i D = I s e v D / nV T ± 1 () ² I s e v D / nV T ; V T ² 25 mV, 1 ³ n ³ 2 v D ² nV T ln i D I s ´ µ · ¸ ¹ = 2.3 nV T log i D I s ´ µ · ¸ ¹ , V D 2 ± V D 1 = nV T ln I D 2 I D 1 ´ µ · ¸ ¹ = 2.3 nV T log I D 2 I D 1 ´ µ · ¸ ¹ Diode Small - Signal r d = nV T I D ± ² ³ ´ , i d = v d r d ± ² ³ ´ (for n = 1, v d should be limited to 5 mV; for n=2, v d should be limited to 10 mV) Zener Diode (Breakdown) V Z = V Z 0 + I Z r Z , Onset of breakdown occurs at V ZK , I ZK Half - Wave Rectifier (Ideal Diode) V p ( load ) = V p ( supply ) = V p V r ± V p ( load ) fR L C ² ± 1 23 fR L C V L ± V p ( load ) 2 fR L C -1 2 fR L C ³ ´ µ I L ± V L R L ± V p ( load ) · 1 2 V r R L ± V p ( load ) R L i D (max) ± I L 1 + 2 ¸ 2 V p ( load ) V r i D (avg) ± I L 1 + 2 V p ( load ) r ¹ º t ± 2 V r p ( load ) t 1 = tan -1 1 R L C ³ ´ µ · 2 V r p ( load ) t 2 = tan -1 1 R L C ³ ´ µ PIV = 2 V p ( supply ) · 1 2 V r ± 2 V p ( supply ) Half - Wave Rectifier (Real Diode - CVD Model) As above but V p ( load ) = V p ( supply ) · V D , except PIV = 2 V p ( supply ) · V D · 1 2 V r ± 2 V p ( supply ) · V D Full - Wave Rectifier (Ideal Diode) V p ( load ) = V p ( supply ) = V p V r ± V p ( load ) 2 fR L C ± 1 43 fR L C V L ± V p ( load ) 4 fR L C 4 fR L C ³ ´ µ I L ± V L R L ± V p ( load ) · 1 2 V r R L ± V p ( load ) R L i D (max) ± I L
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This note was uploaded on 12/21/2010 for the course EECE EECE 254 taught by Professor Robinturner,purangabomasumi during the Spring '09 term at UBC.

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