lecture12

# lecture12 - Lecture#12 ANNOUNCEMENTS Graduate school...

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Lecture 12, Slide 1 EECS40, Fall 2003 Prof. King Lecture #12 ANNOUNCEMENTS • Graduate school workshop tomorrow (9/23) – 3-4 PM, Wozniak Lounge (Soda Hall) OUTLINE – Capacitors in series and in parallel – Practical capacitors – The inductor – Inductors in series and in parallel Reading Chapter 6.1-6.3 Lecture 12, Slide 2 EECS40, Fall 2003 Prof. King Correction to Lecture 9, Slide 3 If there are no independent sources in a circuit, V Th = 0. – If there are dependent sources in the circuit, we need to apply an external voltage in order to determine R Th . Example : Circuit used in R Th Calculation Example #2, Lecture 8: TEST 25 8 V V x = I TEST + V TEST 80 0 20 16 40 TEST x x x V i V V i i V = = + : i of Definition : x node to KCL Applying V x 60 40 20 TEST + = i V V V TEST x = = 4 75 TEST TEST Th I V R

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Lecture 12, Slide 3 EECS40, Fall 2003 Prof. King Example: Current, Power & Energy for a Capacitor dt dv C i = + v ( t ) 10 µ F i ( t ) t ( µ s) v (V) 0 2345 1 t ( µ s) 0 1 1 i ( µ A) v c must be a continuous function of time; however, i c can be discontinuous. ) 0 ( ) ( 1 ) ( 0 v d i C t v t + = τ Note : In “steady state” (dc operation), time derivatives are zero Æ C is an open circuit Lecture 12, Slide 4 EECS40, Fall 2003 Prof. King vi p = 0 1 w (J) v ( t ) 10 µ F i ( t ) t ( µ s) 0 1 p (W) t ( µ s) 2 0 2 1 Cv pd w t = =
Lecture 12, Slide 5 EECS40, Fall 2003 Prof. King () dt dv C dt dv C C i dt dv C dt dv C i i i eq = + = + = + = 2 1 2 1 2 1 Capacitors in Parallel 2 1 C C C eq + = i ( t ) + v

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lecture12 - Lecture#12 ANNOUNCEMENTS Graduate school...

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