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SEzuESaNdPARALLEL CIRCUITS
NOTESPACKET
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r) What makes a circuit be a seriescircuit ?
z) What is the current rule, resistancerule, and voltagerule for a series
circuit.
3) If one devicein a seriescircuit breaksdown what happensto everything
elseon the samepathwayof the seriescircuit.
Rz"ra);a
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PROBLEMS
total
r) A - For the circuit shown, Simplify all the resistors into one
Or equivalent resistance - Then redraw the circuit. After that
appli Ohms Law to the total circuit to find the current the
battery puts out.
fr
&,=8Q
tr.-2lo*
e
R.' /20
fl,d{
B - Now return to the original circuit, What current must flow
Through each resistor ? Use Ohms Law on each individual
Resistlr to find the voltage loss in that resistor'
(Voltage loss in a resistor is the sameas potential difference acloEsthe resistor)
c-
Nowusethe X methodor voltogeaiuia",methodto f ind
the voltslostin eochresistor.
(Remember
voltslost in o resistoris someos pofentioldifferenceocross)
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Probfem2 - For the circuitshown-
IZ JL
A- Usethe X methodor voltogedividermethodto f ind
the voltslostin eochresistor.
(Remember
volts lost in o resistoris someos potenfialdifferenceocross)
onechresistorto find the
B - Nowdo OhmsLowindividuolly
thismotch
therule?)
current f low through thot resistor. (Does
oll
C - NowredoportsA & B usingthe methodof combining
or total resistonce
first,
resistorsintooneequivolent
resistors.
ThenopplyOhmsLawto individuol
f{9
Problem3 - ForJhecircuit shown-
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A- Whot is the Voltogedrop in R,londR2 ?
(Remembervolts losf in o resisfor is someos potentiol differenceocross)
B - Bythe currentrulewhotcurrentmustf lowthroughR3?
for R3.
C - UseOhmsLow(V=fR)to find the ohmsof resistonce
fo solveeverthing
D - Thinkof onddescribeqn olternqtiveopproqch
for this circuit.
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Problem4 - For the circuit shown-
1 , 5( . l f
/Jo-n-
loo sL
SdoJL
A-
Usethe methodof combining
oll resistorsinto onetotol
or eguivolentresisfonceto solvefor current f lowingthrough
eochresistor,ondvoltogelost in eachresistor.
(Rernember
volts lost in o rEsistoris someos potential differenceocross)
B - Nowusethe X methodor voltogedividerqathodto dothe something.
1
5 - Forthe circuitshown
Problem
9J{
lzv
A-
Useonymethodto solvafor currentflowingthrough
eqchresistor,andvoltogelost in eochrasistor.
(Remembervolts lost in o resisfor is sameos potential differenceocross)
B - Now if a 2 ohm(n)resistoris oddedin seriesinto the circuit how
wifl it eff eci - The Currentf low in aochresistor,ondthe voltagedrop
in eochresistor?
r..
C - Howdoe oddingor tokingresistorsout of q seriescircuit effec'f
everythingelsein the circuit
a
p,^obir-(0
A 400 0hm' 300 0hm'
4 100 qhm resistor are
hookedin series
To q 12 vott botteryrr ** rpace berowdrow
the circuit -
A - Nowdo o
euilk redrqwof the circuit with an
vortmater
Hookedup to meosureof
potentiardifference across
the
300 0hmresistor, & Amrneter
hookedup to rneasure
the
cumentffow in the 100
ohmresistor.
B - Findthe total resisfonce,
Totol current, Cunrent
ffow fhrough
Eochresistor, & Voltoge
d.oi o..oss eoch resistor
re 7
fsF
SOffiFOLbRE6EruT5
QuEsrTONs
.5frQrf;s
A 9.0-volt battery . "
to a 4.0-ohm
r:esistor*d;:0,*it_connected
-nm resistor as shown
i" th;
diagrambelow.
r.oe
irii'i
4.0()
9.0v
yt"t is the cr.urent
ia the S.O-ohm
resistorp
(1)
((li
isf
5.0a
whqt is the vortage
fost (porenriordiff.
ocross)
eqch resistor. .Drqw
VoltmeteFto meqsure
in a
the *f, "irss the
5 ohm.
1
- , loe ongram
below representsan
eleckic eircuit
consistingof a 12.
a
,/
a't
f.
^t, ;d*--;;if,-:-r-r:Terx
s'O-oh
mresistor,
3.0()
12V
At ryhatvaluemust variabieresistor
besetto
$e
producea currentof
1,0,""p;;; tl;"ii nrl
(t) 6.0a
(3) s.oo
(s)e,o
a
i+i izn
thecircu*
;H['ffi,i:l,,l"',.""rXtr,'H]:l
whqr
win
berhevorrs
The diagra:n below shows e circuit rrith two
resistors.
8.0cl
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8.0c)
What is the readingou e-urmeterA?
(r.)1.3A
(2)l.s A
(3) 3.0A
(4) 0.75A
- whot will the potentiordifferenceqcross
eachresistorbe
?
The diagran beloy showstbreeresistors,R1,Rg,
andRs,connectedto a l9-volt battery.
vottsandvotbreter
vn
!
5,fl?::;:-y.:.J_"."$
reads4 volts, what is the
potential drop acrcss
resistorR.P
(1)rev
(2)5v
- If RI is 3ohmswhatwould
RZ& R3hsvefo be ?
(s)ov
(4)+v
below_1howsrwo resistoru
P..
*:t=
con_
nected
in seriesto a Z0._voltilt
+:---
P:@
20.v
If the cr:rreat tbrough
tle 8.0_ohmresistor is
*p..r",
the
er:rr?*
drghT" is.o_or*
J:0. is
resistor
(l) r.oe
(2)o.sa
e
(3)s'oe
(4)r.sa
,ffi*itf
f'3 @
CIRCUIT5
PARALLEL
1) Whot mokeso porollelcircuit be o parollelcircuit ? Describewhqt
to the curent f lowin o porollelcircuit. Whot is thee voltoge
hoppens
lost by ony givenelectronos it trovelsthroughonepothwoyin o porollel
voltagalossis the someos potentioldifferenceacross).
circuif (Remember
Whqt is the currentrule ondvoltogerule for a porollelcircuit ?
rulefor o porollel
resistonce
or totol combine
2) Whotis the eguivalent
holesin bottomof bucket)
to woferflowingoutmultiple
CifCUit ? Why iS this SO ? 1compo."
Whot is the resistoncerulefor o porollelcircuit ?
It:t
il
3) If you odd resistorsto the onesqlreody'lherewhot octuollyhoppensto
resistonceof o porollelcircuit ?
the totol combine(Oreguivolent)
ps(g
PROBLEM
1 - For tha circuit shown-
P.r,'{-\
lZ0dclf
(first wewilldo it bythe methodof combining
resistors)
A - Find the totql combineresistqnce (or eguivalent
ond moke the
resistonce),
circuit on battery pluggedinto on resisfor. Then use Ohms Low on the
circuitto find the currentthqt f lowsout of the bottery.
totol combine
B - Now usethe reve?seX method(cumant
divider
to f ind the current
method)
f lowin eochresistor.
lLtn
C - Nowwe will do fhe circuit by o diffenentmethod- We will do OhmsLow
(V=IR)on eochresistorfirst
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i) ;or ii,€ tirclri shawn
V =
I
4,
r . lr
',t
j'{
n I l r-a
ft
li\
f 9
I)
I
C st-
- \'/h,rinLst be thecunentrntheoiler resistcrsby
thecomrnon
sense
{currenldiuder)method,Alsowhatmus thetotalcunentbe?
b ' what muslbe the voltagefop in eachresiEtorand.he vottage
of the
?
:attery
c - Usetheiesistance
rulsto findtotalresis'tance
d ' Fetsrd fromfre kginningycr.lqrly knetrtre ru.rnrbs
fcr tatdra,r*tance
andbattwyvdtagehss wcxrldycJ h€vefemd totele.rrsrt ?
e - He6f#he vdtaEa#ry in eachredgtscompsets he shse, eSein
y#ry.'':Ffu # egr€ntin eadrrer#stqcomF€ets he drse ? expain
why.
o- (rJ
find
1Fcr :he creuit=h6.+i
F J
/OA
l"s*lt
a - the cunenlrn R1 R2,F3. andtotalcunent
b - The vottagedop acrooseachresiEtcr
.
,
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'
i) ;or ii,€ tirci.,rtshown
J.Ir
f 9
I
6st
A!
a - \\'halnLst be thecunentrntheoilerresistcrs
by thecommon
sense
{curenldivderlmethod,Alsowhatmustthetotalcunentbe?
b ' what muslbe the voltage*op in eachresistorand.he vottage
of the
baftery1
,
'
c - Usetheresistance
ruleto findtotalresistalce
d - hetefld fromtro beginning
yu.l onlyknentha niJmbsfs totd re*tance
and bettwy vdtage hss wcrutdyer havefe,rndtoitele.rrsrt ?
u - Hy#.6#ft ndaw 6q in eachredetseemFqeto Frecffisq egein
v+fly.' 'ffi # errent in eeehredetscomFtreto he offise? expain
why.
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4t Fcr the cncuttshown
AI
cJr
Ar
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\
)t:.-
I
x)
)tt
.'l'
L3
a - what mustb* thevoltaEe
of fte batt*1,whyeo ?
b - Whatis the voltagefop aaosseedrrEeistcr
?.
c - whatis he e.rrentinrenistcrR1,Re,R3,andtstd errent'
I
I
andtstsl s*rwt
d- Whetis totelreeiEtence
-"-"-__*-".='-
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5) Fcr the cncuttsnown
L{J
AI
l,e.
RJ.(
Fr
'l*
I
\
I
f U
r L v
iAg
Fs.,*,tryso ?
a - whatmuqtbaihevaluefcrresistcr
---:--*--. ..
b - Whatis the cunentin eaCrresstcrandtotelcr.ment
tvrudffqqrtlffige ( ltfid mud,tstsitutd
c . Findhe veluefr totd rreiEtence
be leoEthan.
reEteiance
\..
d - lf enofiq reEd66Ht'trssffi in Fdid, Frh6tHqSd hrym to fie vdue
for.,: Total rseietglm; Tetrl c:srffiUThe indvi&d emerft h+frs e€rs
reeisffis ?
P1(,
(E
y.,otu..
r.
A 4OOohm.300 ohm,& 1200ohmresistor are hookedin porallel
to a 12 volt battery. In the spacebelowdrowthe circuit
A - Now do a quickredrowof the circuit with o voltmeter
hookedup to meosureof potentialdifferende acrossthe
12OOohmresislor, & Ammeterhookedup to meosurethe
current flow in the 300 ohmresistor.
B - Find the total resistance,Tofal current, Current flow through
Eachresistor, & Voltagedrop ocrosseachresistor
.
"
.
'
'
a
\.E/
Base yor:r an,srers to questio:rs32 aa'd 33 oa ttr
diagra:n'beiow; nrhieh showstwo resistors colaectel
la parailei atross a 6.0-volt sol:rce.
1.0fi
Tle e{uivaleat resistanceof the hvo resistorsis
(1)'0.7s
Q
(2) 2.0n
(3)r.so
(4) 4.0o
- Whatis the currentinthe 3 ohmresistor,qndthe total currentin the circuit?
- Redrow
the circuitwithanornnretar
in it, & volfmatarin it, thqt wouldmessure
Curtnt flowthrough,
ondpotentlal
differenceocrossthe 3 ohmresistor,
16
gJ
ae fuough+aft
questions
Baseyor:ransriers.to
below.
aad
r*'
pJag'*t
the idormation
a 30.-obmresistoruq
A 20.-ohmresistora.ad.
a lZ-volt batteryu'
to
comected in parallel
asshovm.
shown.A.:aammeteris connected'
J a
1 r -
l l Y
-
30.Cl
H
*=^"8
sf
ft''
sv
esurJs
resistdlce
49 What is the eqpivalent
'
(i) i0. o
(3) e5a
is) is o
(4)50'0
e
is) o.oo
(4)o.2o
A
:€
:$
$
43 Wbatis the cr:rrentreadingof thea:nmeter{
:
(3) o:40A
(1) 1.0A
44 What is the po'werof the 30'-ohmresistor?
(1) 4.8w
(2) 12\M
(3)so.w
'tt -"
I i\
pq !7
o
I
Base;zor:ranswersto questioas5g sid E4 on the
cireuit diagran belor, which.showstwo resistorsconnected to a 24volt soureeof potentia.ldifferei.ce.
'53
Oa the diagramin gu,r an$rerbooklet,usethe
appropriate circuit qimbol to indicate a correct
placement of a voitmeter to deterrrine the
potential difference acrossthe circuit. iI]
54 What is the total resistanceof the circuit?
(1) 0,42o
(e) 2.4o
(3) 5.0cl
(4)10.r)
6.0a
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