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    Electric Circuits

    AP Physics B

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    Potential Diference

    =Voltage=EMFIn a battery, a series of chemical

    reactions occur in whichelectrons are transferred fromone terminal to another. There isa potential difference (voltage)between these poles.

    The maximum potentialdifference a power source canhave is called the electromotiveforce or (EMF), . The term isn't

    actually a force, simply theamount of energy per charge(!" or #$

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    A Basic CircuitAll electric circuits have three main parts

    %. A source of energy

    &. A closed path

    . A device which uses the energy

    If A) part of the circuit is open the device will not wor*+

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    Electricity can be symbolic o

    Fluids

    "ircuits are very similar to water flowing through a pipe

    A pump basically wor*s on T-IP-/TAT P/I"IP012 concerning its

    flow3 There is a PRESSURE DIFFERENE

    where the flow begins and ends3 A certain !M"UN#of flow passes each

    SE"ND.

    ! circuit $a%icall& 'or% on #"

    IMP"R#!N# PRINIP*ES3 There is a 4P"#EN#I!* DIFFERENE

    aa +"*#!E4 from where the charge

    begins to where it ends

    3 TheThe !M"UN# of -!RE!M"UN# of -!REthat flowsthat flowsPER SE"NDPER SE"ND is calledis called URREN#.URREN#.

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    Current"urrent is defined as the rate at which charge

    flows through a surface.

    The current is in the same direction as the flowof positive charge ("onventional "urrent$

    ote5The 6I7 standsfor intensity

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    There are ty!es o CurrentD / Direct urrent 8 current flows in one direction

    Example0Battery

    ! / !lternating urrent8 current reverses direction many times per second.This suggests that A" devices turn -99 and

    -. Example0all outlet (progress energy$

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    "hm#s $a%

    The voltage (potential difference, emf) is directlyrelated to the current, when the resistance is

    constant

    IR

    IRV

    RR

    IV

    =

    =

    ==

    Resistancealityproportionofconstant

    2ince /:#!I, the resistance is the

    20-P1of a # vs. I graph

    R

    /re%i%tan

    ce/%lope

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    &esistanceResistance (R); is defined as the restrictionof electron flow. It is due

    to interactions that occur at the atomic scale. 9or eust slow them down a bit and cause the system to wasteenergy. Thin* of as bouncer at the 61lectric "lub7

    #1e unit for re%i%tance i%t1e "-M,

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    Electrical P"'E&e have already learned that P"ERis the rate at '1ic1 'or

    (energ&) i% done. "ircuits are a prime e

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    P"'E&It is interesting to see how certain electrical

    variables can be used to get P-1/. 0et=sta*e #oltage and "urrent for e

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    "ther useul !o%er ormulas

    These formulas can also

    be used+ They are

    simply derivations of

    the P-1/ formulawith different versions

    of -hm's law

    substituted in.

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    Ways to Wire Circuits

    There are & basic ways to wire a circuit. eep in

    mind that a resistor could be A)TIC ( bulb,

    toaster, ceramic material@etc$

    2eries; -ne after another

    Parallel; between a set of >unctions and

    parallel to each other (provides multiplepaths for charge to travel$.

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    (chematic (ymbolsBefore you begin to understand circuits you need to be able to

    draw what they loo* li*e using a set of standard symbolsunderstood anywhere in the world

    For t1e $atter& %&m$ol, t1e

    *"N line i% con%idered to $e

    t1e P"SI#I+E terminal and t1e

    S-"R# line , NE!#I+E.

    #1e +"*#ME#ERand !MME#ER

    are %pecial device% &ou place IN

    or !R"UNDt1e circuit to

    mea%ure t1e +"*#!Eand

    URREN#.

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    The Voltmeter and AmmeterThe voltmeter and ammeter cannot be

    >ust placed anywhere in the circuit. They

    must be used according to their

    ?19IITI-.

    2ince a voltmeter measures voltage or

    P-T1TIA0 ?I991/1"1 it must be

    placed !R"SSthe device you want to

    measure. That way you can measure the

    "AC1 on either side of the device.3Ammeter is placed in series3Voltmeter is placed in parallel

    #oltmeter is drawn A"/-22 the resistor

    2ince the ammeter measures the current or

    90- it must be placed in such a way as the

    charges go #-R"U-the device.

    "urrent goes T/-DC the ammeter

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    (im!le Circuit

    When drawing a circuit itis wise to start by

    drawing the battery

    first, then follow alongthe loop (closed)

    starting with positiveand drawing what you

    see.

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    (eries Circuit

    In %erie%circuit, the resistors

    are wired one after

    anot1er. 2ince they are all

    part of the 2A1 0--P

    they each e

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    (eries Circuit

    321)(

    321)(

    VVVV

    IIII

    Totalseries

    Totalseries

    ++=

    ===

    As the current goes through the circuit, the charges must D21 11/C) to get through the

    resistor. 2o each individual resistor will get its own individual potential difference. e call this

    difference #-0TAC1 ?/-P(?ropE ?oes resistance always drop as charge passes through

    a resistorE$

    =++=

    ++=

    =++=

    is

    series

    seriesTT

    Totalseries

    RR

    RRRR

    RIRIRIRI

    IRVVVVV

    321

    332211

    321)(

    )(

    ;ote5They may use the terms

    6effective7 or 6eFuivalent7 to mean

    T-TA0+

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    E)am!le A series circuit is shown to the left.a$ hat is the total resistanceE

    b$ hat is the total currentE

    c$ hat is the current across 1A"resistorE

    d$ hat is the voltage drop acrosseach resistorE( Apply -hm's law

    to each resistor separately$

    R(%erie%) / 2 3 4 3 5 / 6

    +/IR 24/I(6) I / 4!

    #1e& E!- get 4 amp%7 (I

    i% con%tant i% %erie%777)

    +2= 2) 1)= 4 + +5/(4)(5)/ 6+ +4/(4)(4)/ 8+

    Notice t1at t1e individual +"*#!E DR"PS add up to t1e #"#!*77

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    Parallel CircuitIn a parallel circuit, we have

    multiple loops. 2o thecurrent splits up among theloops with the individualloop currents addingto thetotal current

    It is important to understand that parallel

    circuits will all have some position where

    the current splits and comes bac*

    together. e call these 9UN#I"NS.

    The current going I to a >unction will

    always eFual the current going -DT of a

    >unction (irchhoff's 0aw$

    9unction% OUTIN

    Totalparallel

    II

    IIII

    =

    ++=

    :JunctionsRegarding

    321)(

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    Parallel Circuitotice that the D"TI-2 both touch theP-2TI#1 and 1CATI#1 terminals of the

    battery. That means you have the 2A1

    potential difference down 1A" individualbranch of the parallel circuit. This means

    that the individual voltages drops are eFual.

    This >unction

    touches the

    P"SI#I+E

    terminal

    This >unction

    touches the

    NE!#I+E

    terminal

    +

    =

    ++=

    ++=

    =++=

    ===

    iP

    P

    Parallel

    T

    T

    Totalparallel

    Totalparallel

    RR

    RRRR

    R

    V

    R

    V

    R

    V

    R

    V

    IRVIIII

    VVVV

    11

    1111

    )(

    ;

    321

    3

    3

    2

    2

    1

    1

    321)(

    321)(

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    E)am!le

    ===

    ++=

    454.0

    1454.0

    1

    91

    1

    511

    P

    p

    P

    RR

    R

    ==

    =

    )(! RI

    IRV

    To the left is an e

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    Com!ound *Com!le)+Circuitsany times you will have series and parallel in the 2A1 circuit.

    2olve this type of circuit

    from the inside out.

    -!# IS #-E #"#!*

    RESIS#!NE=

    =+=

    =+=

    3.1133.33!0

    3.33;50

    1

    100

    11

    s

    P

    P

    R

    RR

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    Com!ound *Com!le)+Circuits

    =+=

    =+=

    3.1133.33!0

    3.33;50

    1

    100

    11

    s

    PP

    R

    RR

    =

    =

    =

    T

    T

    TTT

    I

    I

    RIV

    )3.113(120

    2uppose the potential difference (voltage$ is eFual to 24:+. hat is the totalcurrentE

    2.:6 !

    hat is the #-0TAC1 ?/-P across the GHresistorE=

    =

    =

    !0

    !0

    !0!0!0

    )!0)(0".1(

    V

    V

    RIV

    ;8.; +

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    Com!ound *Com!le)+Circuits

    AI

    VV

    AI

    VV

    R

    T

    T

    T

    0".1

    !.!4

    0".1

    120

    3.113

    !0

    !0

    =

    =

    =

    =

    =

    =

    +=+=

    ==

    3#2

    3#2

    3#21)(

    32)(

    !.!4120

    V

    VVVV

    VVV

    seriesT

    parallelT

    hat is the #-0TAC1 ?/-P across

    the %HHand HresistorE

    5>.4 + Eac17 ==

    ==

    ==

    +=

    50

    2.35

    100

    2.35

    50

    100

    3#21)(

    32)(

    I

    I

    III

    III

    seriesT

    parallelT

    hat is the current across the

    %HHand HresistorE

    :.5>4 !

    :.?:8 !

    !dd to

    2.:6!