LCT5-SeriesParallelDYReduction.pdf

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Microsoft PowerPoint - LCT5-SeriesParallelDYReduction.ppt

Electrical

ENGINEERING

INTRODUCTION TO

CIRCUIT ANALYSIS

5. SERIES PARALLEL RESISTOR

COMBINATIONS

Prof. dr hab. in Ň . Tadeusz Skoczkowski

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SERIES PARALLEL RESISTOR COMBINATIONS

UP TO NOW WE HAVE STUDIED CIRCUITS THAT

CAN BE ANALYZED WITH ONE APPLICATION OF

CAN BE ANALYZED WITH ONE APPLICATION OF

KVL(SINGLE LOOP) OR KCL(SINGLE NODE

KVL(SINGLE LOOP) OR KCL(SINGLE NODE-PAIR)

PAIR)

WE HAVE ALSO SEEN THAT IN SOME SITUATIONS

IT IS ADVANTAGEOUS TO COMBINE RESISTORS

IT IS ADVANTAGEOUS TO COMBINE RESISTORS

TO SIMPLIFY THE ANALYSIS OF A CIRCUIT

TO SIMPLIFY THE ANALYSIS OF A CIRCUIT

NOW WE EXAMINE SOME MORE COMPLEX CIRCUITS

WHERE WE CAN SIMPLIFY THE ANALYSIS USING

WHERE WE CAN SIMPLIFY THE ANALYSIS USING

THE TECHNIQUE OF COMBINING RESISTORSÈ

THE TECHNIQUE OF COMBINING RESISTORSÈ

È PLUS THE USE OF OHMÔS LAW

SERIES COMBINATIONS

PARALLEL COMBINATION

G

p

=

G

+

G

2

+

...

+

G

N

UP TO NOW WE HAVE STUDIED CIRCUITS THAT

CAN BE ANALYZED WITH ONE APPLICATION OF

KVL(SINGLE LOOP) OR KCL(SINGLE NODE

WE HAVE ALSO SEEN THAT IN SOME SITUATIONS

IT IS ADVANTAGEOUS TO COMBINE RESISTORS

NOW WE EXAMINE SOME MORE COMPLEX CIRCUITS

WHERE WE CAN SIMPLIFY THE ANALYSIS USING

1

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FIRST WE PRACTICE COMBINING RESISTORS

3

SERIES

6k||3k

(10K,2K)SERIES

6

k

||

12

k

=

4

k

5

k

W

3

12

k

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3

k

||

6

k

=

2

k

12 k

If things get confusingÈ

6

k

||

(

4

k

+

2

k

)

12

k

||

12

k

=

6

k

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EXAMPLES COMBINATION SERIES-PARALLEL

PARALLEL

9

k

If the drawing gets confusingÈ

Redraw the reduced circuit

Redraw the reduced circuit

and start again

and start again

18

k

||

9

k

=

6

k

RESISTORS ARE IN SERIES IF THEY CARRY

EXACTLY THE SAME CURRENT

EXACTLY THE SAME CURRENT

6

k

+

6

k

+

10

k

RESISTORS ARE IN PARALLEL IF THEY ARE

CONNECTED EXACTLY BETWEEN THE SAME TWO

CONNECTED EXACTLY BETWEEN THE SAME TWO

NODES

NODES

EXAMPLES COMBINATION SERIES

If the drawing gets confusingÈ

Redraw the reduced circuit

RESISTORS ARE IN SERIES IF THEY CARRY

RESISTORS ARE IN PARALLEL IF THEY ARE

CONNECTED EXACTLY BETWEEN THE SAME TWO

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Plik z chomika:

Inne pliki z tego folderu:

LCT3-KirchhoffsLaws.pdf (1003 KB)
LCT2-OhmsLaw.pdf (270 KB)
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