electrical circuit behavior

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    Electrical Circuit Behavior

    Section III

    In this Section we will introduce the following information:

    Theory behind Circuit Behavior Construction of all circuits Series Circuit Behavior

    Parallel Circuit Behavior Series/ Parallel Circuit Behavior Introduction to Meter Application in Circuits

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    Series Circuits

    wwww

    --------

    ------

    ----

    Battery

    fuse

    Load 1

    wwww

    Load 2

    Series Circuit Rules

    1. The Resistance Totalwill always be

    equal to the sum of all of the loadresistances in the circuit.

    2. The total circuit Voltage Dropwillalways be equal to the applied source

    voltage.However, each load will havea different voltage drop based on itsindividual resistance value.

    3. The Current flowin the the circuit

    is the same regardless of where itis measured.

    A Series Circuit is considered a Voltage Dividing Circuit

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    Series Circuits

    wwww

    --------

    ------

    ----

    Current is the same everywhere

    Resistance Total is the sum

    of each load resistance

    Voltage Drop across the total circuitequals the applied source voltage

    Battery

    fuse

    Load 1

    wwww

    Load 2

    2 Ohms2 Ohms

    2 Ohms + 2 Ohms = 4 Ohms Total

    RT= The sum of all Resistance

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    Series Circuits

    6 Volts + 6 Volts = 12 Volt Voltage Drop

    --------

    ------

    ----

    Vdr= Voltage DropVoltage drop equals the applied

    source voltage.This is the voltageconsumed or used by the circuitcomponents or resistors.

    Current is the same everywhere

    Resistance Total is the sum of each loadresistance

    Voltage Drop across the total circuit equalsthe applied source voltage

    --------

    ------

    ----

    wwww

    Battery

    fuse

    Load 1

    wwww

    Load 2

    12 Volts 12 Volts

    12 Volts12 Volts

    6 Volts6 Volts

    12 Volts

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    Series Circuits

    --------

    ------

    ----

    wwww

    Battery

    Load 1

    4 Ohms

    12Volts

    --------

    ------

    ----

    It= Intensity TotalThis refers to the total current

    (amps) flow through the circuit.

    Current is the same everywhere

    Resistance Total is the sum of each loadresistance

    Voltage Drop across the total circuit equals

    the applied source voltage

    3 Amps

    12 Volts 4 Ohms = 3 Amps

    Note: When calculating Amps, an ammeteris placed in series with the circuit.

    3 Amps

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    wwwwww

    R1

    3 Ohms

    12Volts

    Amps ?

    Volts R1 = ? Amps12 Volts 3 Ohms = 4 Amps

    Series Circuits

    E

    ? R

    Using Ohms Law calculate the amountof amp flow in the circuit below

    E = VoltsR = OhmsI = Amps

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    Volts R1 + R2 = ? Amps6 Ohms + 4 Ohms = 10 Ohms

    12 volts 10 Ohms = 1.2 Amps

    wwwwww

    R1

    6 Ohms

    12Volts

    Amps ?

    wwwwww

    R24 Amps

    E

    ? R

    Series Circuits

    E = Volts

    R = OhmsI = Amps

    Using Ohms Law calculate the amountof amp flow in the circuit below

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    wwwwww

    R1

    ? Ohms

    12 Volts

    10 Amps

    Volts Amps = Resistance

    12 Volts 1.2 Amps = 10 OhmsE

    I ?

    Series Circuits

    E = Volts

    R = OhmsI = Amps

    Using Ohms Law calculate the amountof resistance in the circuit below

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    10

    Series Circuit Review

    Ohms Law can be applied to a series circuit to find unknownvalues as long as you have at least two of values required towork the formula and, you remember the following rules for a

    seriescircuit.

    1. Since there is only one path for current to flow through,current througheach load(resistance) is the same regardless of the number of loads in

    the circuit or where the current is measured in the circuit.

    2. The total resistance in the circuit will equal to the sum of the individualload resistances in the circuit.

    3. The voltage drop at each load will vary depending on its resistance,however, the total voltage drop will be equal to the applied sourcevoltage.Source voltage is divided completely by all the loads, thereforea Series Circuit is referred to as a Voltage Dividing Circuit.

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    11

    Parallel Circuits

    Parallel CircuitA parallel circuit has two or more pathsfor current to flow through. Theamount of current through eachbranch is determined by the loadresistance of each branch. If the circuitis broken after a load, only that loadwill cease to operate.

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    12

    ww

    ww

    w w

    w w 12

    volts4 4

    R1 R2

    Parallel Circuits

    12volts

    12volts

    Parallel Circuit Rules

    1.The source voltageand the voltageapplied to or measured across each loadresistance is the same.

    2.The current through each load is

    determined by its resistance.

    3. The resistance totalof the circuit willalways be less than the lowest resistancein the circuit.

    4. The total currentin the circuit will beequal to the sum of the branch currentsthrough each individual load.

    A Parallel Circuit is considered a Current Dividing Circuit

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    Source Voltage(Sv) is the same thruboth loads.

    Resistance Total(Rt) will be less than

    lowest value of individual resistor.

    The Total Current (It) in the circuit willequal the sum of the branch current flow

    R2

    I = V / R

    12 v/ 2 = 6 amps

    E

    ? R

    wwww

    w w w w

    12volts

    4

    2

    R1 R2

    Parallel Circuits

    R1

    I = V / R

    12 v/ 4 =3 amps

    E= Electromotive Force (EMF) or VoltsR= Resistance or Ohms ( )

    I = Intensity of Current (quantity), (A),or amps (short for amperage)

    Load resistance determines

    current through each load

    14

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    Rt = (R1 X R2) / (R1 + R2)

    (4 X 2)=8 / (4+2)=6

    8 /6 = 1.33 ohms

    Parallel Circuits

    E

    I R

    wwww

    w w w w

    4

    2

    R1 R212

    volts

    Source Voltage(Sv) is the same thru

    both loads.

    The Total Current (It) in the circuit willequal the sum of the branch current flow.

    NOTE: Individual resistor value does not

    matter in a parallel circuit, only whencalculating current flow thru one load usingohms law does it matter.

    E= Electromotive Force (EMF) or Volts

    R= Resistance or Ohms ( )I = Intensity of Current (quantity), (A ),

    or amps (short for amperage)

    Total Circuit Resistance willalways be less than the

    lowest individual resistancein the circuit.

    15

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    Source voltage and the voltage applied

    to each load is the same

    Load Resistance determines currentthough each load

    Total circuit resistance less than lowestload resistance

    wwww

    w w w w

    4

    2

    R1 R212

    volts

    3 amps 6 amps

    Parallel Circuits

    Total circuit current equals

    the sum of the branchcurrents

    It = the sum of the individual branches3+6=9 amps

    16

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    Parallel Circuit Review

    Ohms Law can be applied to a series circuit to find unknownvalues as long as you have at least two of values required towork the formula and, you remember the following rules for

    a parallel circuit.1. The source voltage and the voltage applied to a load (resistance) is

    exactly the same and cannot vary.

    2. The current through each load is determined by the resistance value ofeach resistor.

    3. The resistance total of the circuit will always be less than the lowestresistors value.

    4. The total current flow in the circuit will be equal to the sum of the

    branch currents through each resistor.The total current in the circuitis divided between the loads, therefore, a parallel circuit is sometimesreferred to as a Current Dividing Circuit.

    17

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    17

    Series Parallel Circuits

    Series Parallel Circuit

    As the name implies, the series-parallel isa combination of of both types of circuits.

    One or more of the loads is in series, whilethe others are in parallel.

    18

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    Series Parallel Circuits

    ww

    ww

    ww

    ww12

    volts

    WWWW

    Dimmer

    Series-Parallel Circuit Rules

    1. The Resistance Total of the circuit isequal to the sum of the parallel resistanceplus the series resistance.

    2. The Current in the series portion of thecircuit is equal to the sum of the branchcurrents.

    3. The VoltageDrop across the series

    resistance will reduce the voltage suppliedto the parallel branches.

    12 volts 6 volts 6 volts

    19

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    = ------------

    = ---------------

    = ---------

    (R X R ) 2 3

    (6 X 3 )

    Rtp

    Rtp

    R

    tp

    Rtp

    (R + R ) 2 3

    18 Ohms

    9 Ohms

    = 2 Ohms

    Circuit Total Rt 4 Ohms

    Series Parallel Circuits

    (6 +3 )

    Rtp=

    + Rts

    Rt =+2 2 =

    4

    ww

    ww

    ww

    ww

    12

    volts

    WWWW

    Dimmer

    Series Resistance

    R1Set at

    2 Ohms

    Parallel

    ResistanceR 2 6

    Parallel

    ResistanceR 3 3

    The Resistance Total of the circuitis equal to the sum of the parallelresistance plus the series resistance.

    20

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    Current in the the series portion ofthe circuit is equal to the sum of

    the branch currents.

    Series Parallel Circuits

    ww

    ww

    ww

    ww

    12volts

    WWWW

    Dimmer

    Series Resistance

    R1Set at

    2 Ohms

    Parallel

    ResistanceR 2 6

    Parallel

    ResistanceR 3 3 It

    It

    =

    =

    =

    -----

    ------

    Rt

    12Volts

    4 Ohms

    3 Amps

    Sv

    It

    21

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    6 Volts

    3 Amps

    Series Parallel Circuits

    =

    =

    =

    R ItX

    X2 Ohms

    6 Volts

    Vdr

    Vdr

    Vdr

    wwww

    wwww

    12volts

    WWWW

    Dimmer

    Series Resistance

    R1Set at

    2 Ohms

    ParallelResistance

    R 2 6ParallelResistance

    R 3 3

    The Voltage Drop across the seriesresistance will reduce the voltagesupplied to the parallel branches

    Voltage Drop

    6 volts 6 volts

    22

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    Series Parallel Circuits Review

    Ohms Law can be applied to a series-parallel circuit to find

    unknown values as long as you have at least two of valuesrequired to work the formula and, you remember the followingrules for a parallel circuit.

    1. The Resistance Total of the circuit is equal to the sum of the parallelresistance plus the series resistance.

    2. The current in the series portion of the circuit is equal to the sumof the branch currents.

    3. The Voltage Drop across the series resistance will reduce the voltage

    supplied to the parallel branches.