Parallel Circuit

Topics: The Circuit, Circuit, Electrical resistance Pages: 18 (1618 words) Published: September 18, 2014
Topics
in
Covered Chapter
6
:
Rrfor Series-Parallel
6-1 Finding
Resistances
Strings Parallel
6-2:Resistance
in
6-3:Resistance
Banks Series
in
Banks Strings Series-Parallel
6-4:Resistance
and
in
@2ffi7 The McGrc*Hilt

Cwanies

Inc. All iskts rcm

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Covered In Chapf,er
6
a:

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i t t Cirnp d ni es, In c. Al I i gkts resn ed:

Ru
6-.[:FfndiftS for

Reslstan
ces
Serfes-Pcrsilie[
. Overviewof Series-Parallel
Circuits
. A series-parallel
circuit,or combination
circuit,
and
both
connections.
combines series parallel
r Mostelectronic
fall
circuits intothiscategory.
circuits typically
are
usedwhendifferent
Series-parallel
fromthe same
voltage curent values required
are
and
voltage
source.
. Series
form
components a seriesstring.
r Parallel
form
components a parallel
bank.

. Overview Series-Parallel
Circuits
of

in
There arethreebranches this

circuit sections

To findRrfor a series-parallel
circuit, theseries
add
the
resistances combine
and
parallel
resistances.
fn thisdiagram, and Rrare
R,
in series,
and R, andRoare in
parallel.
R,
However, is not in
serieswiththe parallel
resistances:
Resistances
in
serieshavethe samecurrent,
in
butthe current R, is equal
to the sumof the branch
currentsI, andln.

ff'l'=

s.$ kf}

&H

.
n.S!rt}

=
.fa=.1;*,1;9 &t+ I*

{#i
Fig. &1b. Schematicdiagram of a seriesparallel circuit.

Copyright @ The Mccraw-Ffill Cmpanies, lnc. PemisioB

required for reproduction or dsday.

6--T:
Ff*ding ftuf*n
rlces
Series-Pcra[fe]
Reslsta
. F or F i g .6 - 1 b ,
. Theseries
resistances
are:
0.5ko+0.5ko: lkft
. Theparallel
resistances
are:
lka I 2: 0. 5kQ
. Theseries parallel
values thenadded the
are
for
and
valueof Rr:
lka + 0.5kfi: 1"5
kQ

. :,1

: i: : ' . : r : i: : . ! :

: . i' - r l: i I

-. -. : -

.j :

r' -

: .;:i-

-

ii

,_ ::

+

ff
n
6*2: Resfs,fftce Strf gs fft Parat$el
bir

#
i:,-t:
at:

iti
lii
iti
iii

i:t

SeriesGircuit
. Current thesamein all
is
components.
. V across
R
eachseries is
/ xR.
. Vr= Vr* Vza Vs+...+
etc.

Parallel
Gircuit
. Voltage thesame
is
across branches.
all
. I in eachbranch is V/R.
R
. lr ' lr + lz + ls + . . . + c .
et

,ii

;ii

eachparallelbranch.
Z is the sameacross

Strfngs Para[fel
En
&*2:Resfsfafice
.
.
.
r

.

i
equals voltage
applied
in
the
Thecurrent eachbranch
Rr.
by
divided the branch
across branch
the
the
equals sumof the branch
Thetotallinecurrent
strings.
for
currents all parallel
voltage
equals applied
the
circuit
The Rl-for the entire
by
divided thetotallinecurrent.
drop
in
string, /R voltage
the
Foranyresistance a series
the
current
equals string's
thatresistance
across
multiplied the resistance.
by
equals
string
dropsin the series
The sumof the valtage
string.
the
across entire
thevoltage

i:

R,
Inthisfigure, andR.
in
resistances
areparallel
bank
Theparallel
a bank.
with
is in series Rr.
than
maybemore
There
in
resistances
twoparallel
a bank, anynumber
and
in
of banks series.
to
Lawis applied
Ohm's
and
theseries parallel
as
components seen
previously.
@pyight@

;' ll1 '* 4V
i F r '=1 t l

Fig. &4a: Parallelbank of R, and R. in
serles with R, {Originalcircuit).

The Mccraw-Ff ll Companies, Inc. Pemission requiredlar reptoductian or disday

6:3: Res$sfaftce
Banksfn Sertes
+;ii;?ii:rrl
il
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