Parallel Circuit
in
Covered Chapter
6
:
Rrfor SeriesParallel
61 Finding
Resistances
Strings Parallel
62:Resistance
in
63:Resistance
Banks Series
in
Banks Strings SeriesParallel
64:Resistance
and
in
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Reslstan
ces
SerfesPcrsilie[
. Overviewof SeriesParallel
Circuits
. A seriesparallel
circuit,or combination
circuit,
and
both
connections.
combines series parallel
r Mostelectronic
fall
circuits intothiscategory.
circuits typically
are
usedwhendifferent
Seriesparallel
fromthe same
voltage curent values required
are
and
voltage
source.
. Series
form
components a seriesstring.
r Parallel
form
components a parallel
bank.
. Overview SeriesParallel
Circuits
of
in
There arethreebranches this
circuit sections
To findRrfor a seriesparallel
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 MccrawFfill Cmpanies, lnc. PemisioB
required for reproduction or dsday.
6T:
Ff*ding ftuf*n
rlces
SeriesPcra[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$el
bir
#
i:,t:
at:
iti
lii
iti
iii
i:t
SeriesGircuit
. Current thesamein all
is
components.
. V across
R
eachseries is
/ xR.
. Vr= Vr* Vza Vs+...+
etc.
Parallel
Gircuit
. Voltage thesame
is
across branches.
all
. I in eachbranch is V/R.
R
. lr ' lr + lz + ls + . . . + c .
et
,ii
;ii
eachparallelbranch.
Z is the sameacross
Strfngs Para[fel
En
&*2:Resfsfafice
.
.
.
r
.
i
equals voltage
applied
in
the
Thecurrent eachbranch
Rr.
by
divided the branch
across branch
the
the
equals sumof the branch
Thetotallinecurrent
strings.
for
currents all parallel
voltage
equals applied
the
circuit
The Rlfor the entire
by
divided thetotallinecurrent.
drop
in
string, /R voltage
the
Foranyresistance a series
the
current
equals string's
thatresistance
across
multiplied the resistance.
by
equals
string
dropsin the series
The sumof the valtage
string.
the
across entire
thevoltage
i:
R,
Inthisfigure, andR.
in
resistances
areparallel
bank
Theparallel
a bank.
with
is in series Rr.
than
maybemore
There
in
resistances
twoparallel
a bank, anynumber
and
in
of banks series.
to
Lawis applied
Ohm's
and
theseries parallel
as
components seen
previously.
@pyight@
;' ll1 '* 4V
i F r '=1 t l
Fig. &4a: Parallelbank of R, and R. in
serles with R, {Originalcircuit).
The MccrawFf ll Companies, Inc. Pemission requiredlar reptoductian or disday
6:3: Res$sfaftce
Banksfn Sertes
+;ii;?ii:rrl
il
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