basic circuits, power supplies, transistors

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    Basic Circuits, Power Supplies,Transistors,

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    Basic Circuit Analysis

    What we wont do:

    most things: RC, RLC, filters, detailed analysis

    What we will do:

    set out basic relations

    look at a few examples of fundamental

    importance (mostly resistive circuits)

    look at diodes, voltage regulation, transistors

    discuss impedances (cable, output, etc.)

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    Example: Voltage divider

    Voltage dividers are a classic way to set a

    voltage

    Works on the principle that all charge

    flowing through the first resistor goes

    through the second

    so VR-value

    provided any load at output is negligible:

    otherwise some current goes there too

    So Vout = V(R2/(R1 + R2))

    R2 here is a variable resistor, or

    potentiometer, or pot

    typically three terminals: R12 is fixed, tap

    slides along to vary R13 and R23, though

    R13 + R23 = R12 always

    4

    1

    2

    3

    R1

    R2

    V

    Vout

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    Real Batteries: Output Impedance

    A power supply (battery) is characterized by a voltage

    (V) and an output impedance (R)

    sometimes called source impedance

    Hooking up to load: Rload, we form a voltage divider,

    so that the voltage applied by the battery terminal is

    actually Vout = V(Rload/(R+Rload))

    thus the smaller R is, the stiffer the power supply

    when Vout sags with higher load current, we call this

    droop

    Example: If 10.0 V power supply droops by 1% (0.1 V)

    when loaded to 1 Amp (10 load):

    internal resistance is 0.1

    called output impedance or source impedance

    may vary with load, though (not a real resistor)

    5

    V

    R

    D-cell example: 6Aout of 1.5 V batteryindicates 0.25 outputimpedance

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    The block diagram of the basic powersupply. Most power supplies are made

    up of four basic sections: aTRANSFORMER, a RECTIFIER, aFILTER, and a REGULATOR.

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    7

    The transformer serves two primarypurposes: (1) to step up or step down

    the input line voltage to the desiredlevel and (2) to couple this voltage tothe rectifier section.

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    Power Supplies and Regulation A power supply typically starts with a transformer

    to knock down the 470V peak-to-peak (220 V AC) to something

    reasonable/manageable

    We will be using a center-tap transformer

    (A B) = (winding ratio)(A B)

    when A > B, so is A > B

    geometry of center tap (CT) guarantees it is midwaybetween A and B

    (frequently tie this to ground so that A = B)

    note that secondary side floats: no ground reference built-in

    8

    A

    B

    A

    CT

    B

    AC input AC output

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    Diodes

    Diodes are essentially one-way current

    gates

    Symbolized by:

    Current vs. voltage graphs:

    9

    V

    I

    V

    I

    V

    I

    V

    I

    0.6 V

    plain resistor diode idealized diode WAY idealized diode

    no current flows current flows

    the direction thearrow points in thediode symbol is thedirection that currentwill flow

    acts just like a wire(will support arbitrarycurrent) provided thatvoltage is positive

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    Diode Makeup

    Diodes are made of semiconductors (usually silicon)

    Essentially a stack ofp-doped and n-doped silicon to form ap-n junction

    doping means deliberate impurities that contribute extra electrons (n-

    doped) or holes for electrons (p-doped)

    Transistors are n-p-n orp-n-p arrangements of semiconductors

    10

    p-type n-type

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    LEDs: Light-Emitting Diodes Main difference is material is more exotic than silicon used in ordinary

    diodes/transistors

    typically 2-volt drop instead of 0.6 V drop

    When electron flows through LED, loses energy by emitting a photon of light

    rather than vibrating lattice (heat)

    LED efficiency is 30% (compare to incandescent bulb at 10%)

    Must supply current-limiting resistor in series: figure on 2 V drop across LED; aim for 110 mA of current

    11

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    Getting DC back out of AC AC provides a means for us to distribute electrical power, but most

    devices actually wantDC

    bulbs, toasters, heaters, fans dont care: plug straight in

    sophisticated devices care because they have diodes and

    transistors that require a certain polarity

    rather than oscillating polarity derived from AC

    this is why battery orientation matters in most electronics

    Use diodes to rectify AC signal

    Simplest (half-wave) rectifier uses one diode:

    12

    AC source load

    input voltage

    voltage seen by loaddiode only conductswhen input voltage is positive

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    Doing Better: Full-wave Diode Bridge

    The diode in the rectifying circuit simply prevented the negative swing of

    voltage from conducting

    but this wastes half the available cycle

    also very irregular (bumpy): far from a good DC source

    By using four diodes, you can recover the negative swing:

    13

    A

    C

    B

    D

    AC source

    load

    input voltage

    voltage seen by load

    B & C conduct

    A & D conduct

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    Full-Wave Dual-Supply By grounding the center tap, we have two opposite

    AC sources the diode bridge now presents + and voltages relative

    to ground each can be separately smoothed/regulated cutting out diodes A and D makes a half-wave rectifier

    14

    A

    C

    B

    D

    AC source

    + load

    load

    voltages seen by loads

    can buy pre-packaged diode bridges

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    Smoothing out the Bumps Still a bumpy ride, but we can smooth this out with a

    capacitor

    capacitors have capacity for storing charge acts like a reservoir to supply current during low spots

    voltage regulator smoothes out remaining ripple

    15

    A

    C

    B

    D

    AC source

    load

    capacitor

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    Regulating the Voltage

    The unregulated, ripply voltage may not be at thevalue you want depends on transformer, etc. suppose you want 15.0 V

    You coulduse a voltage divider to set the voltage But it would droop under load

    output impedanceR1 || R2 need to have very small R1, R2to make stiff the divider will draw a lot of current perhaps straining the source power expended in divider >> power in load

    Not a real solution

    16

    1

    2

    3

    R1

    R2

    Vin

    Vout

    Rload

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    The Zener Regulator

    Zener diodes break down at some reverse

    voltage

    can buy at specific breakdown voltages

    as long as somecurrent goes through zener, itll

    work

    good for rough regulation

    Conditions for working:

    lets maintain some minimal current, Iz through

    zener (say a few mA)

    then (VinVout)/R1 = Iz + Vout/Rload sets the

    requirement on R1

    because presumably all else is known

    if load current increases too much, zener shuts

    off (node drops below breakdown) and you just

    have a voltage divider with the load

    17

    R1

    Z

    Vin

    Vout = Vz

    Rload

    zener voltage

    high slope is what makes thezener a decent voltage regulator

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    Voltage Regulator IC Can trim down ripply voltage to

    precise, rock-steady value

    Now things get complicated!

    We are now in the realm of

    integrated circuits (ICs)

    ICs are whole circuits in small

    packages

    ICs contain resistors, capacitors,

    diodes, transistors, etc.

    18

    note zeners

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    Voltage Regulators The most common voltage regulators are the

    LM78XX (+ voltages) and LM79XX ( voltages) XX represents the voltage

    7815 is +15; 7915 is 15; 7805 is +5, etc

    typically needs input > 3 volts above output (reg.)voltage

    A versatile regulator is the LM317 (+) or LM337 () 1.237 V output

    Vout = 1.25(1+R2/R1) + IadjR2 Up to 1.5 A picture at right can go to 25 V datasheetcatalog.com for details

    19

    beware that housing is not always ground

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    Transistors Transistors are versatile, highly non-linear

    devices Two frequent modes of operation:

    amplifiers/buffers switches

    Two main flavors: npn (more common) or pnp, describing doping

    structure

    Also many varieties: bipolar junction transistors (BJTs) such as npn,

    pnp field effect transistors (FETs): n-channel and p-

    channel metal-oxide-semiconductor FETs (MOSFETs)

    Well just hit the essentials of the BJT here20

    B

    C

    E

    B

    E

    C

    npn pnp

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    Diode and Transistor Testing

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    Step by step instructions:

    The instructions are given primarily for an NPN transistor asthese are the most common types in use. The variations areshown for PNP varieties.

    Set the meter to its ohms range - any range should do, but

    the middle ohms range if several are available is probablybest.

    Connect the base terminal of the transistor to the terminalmarked positive (usually colored red) on the multimeter

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    Connect the terminal marked negative or common(usually colored black) to the collector and measurethe resistance. It should read open circuit (there shouldbe a deflection for a PNP transistor).

    With the terminal marked negative still connected to

    the base, repeat the measurement with the positiveterminal connected to the emitter. The reading shouldagain read open circuit (the multimeter should deflectfor a PNP transistor).

    Winter 2007 UCSD: Physics 121; 2007 23

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    Winter 2007 24

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    Base emitter must

    haveRESISTANCE

    Base-collector alsohaveRESISTANCE

    Emitter-collectorhasRESISTANCE

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    Now reverse the connection to the base of the transistor,this time connecting the negative or common (black)terminal of the analogue test meter to the base of the

    transistor.Connect the terminal marked positive, first to the collectorand measure the resistance. Then take it to the emitter. Inboth cases the meter should deflect (indicate open circuitfor

    a PNP transistor).It is next necessary to connect the meter negative orcommon to the collector and meter positive to the emitter.Check that the meter reads open circuit. (The meter shouldread open circuit for both NPN and PNP types.

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    Now reverse the connections so that themeter negative or common is connected tothe emitter and meter positive to the

    collector. Check again that the meter readsopen circuit.

    If the transistor passes all the tests then it isbasically functional and all the junctions areintact.

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    Improved Zener Regulator

    By adding a transistor to the zener regulator

    from before, we no longer have to worry asmuch about the current being pulled away

    from the zener to the load

    the base current is small

    Rload effectively lookstimes bigger

    real current supplied through transistor

    Can often find zeners at 5.6 V, 9.6 V, 12.6 V,

    15.6 V, etc. because drop from base to

    emitter is about 0.6 V

    so transistor-buffered Vreg comes out to 5.0,

    9.0, etc. Iz varies less in this arrangement, so the

    regulated voltage is steadier

    28

    Vreg

    Rload

    Vz

    Vin

    Rz

    Z

    Vin

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    Designing PCB

    cut your COPPERCLAD BOARD to

    desired size

    Clean by soap andwater

    a pencil eraser may

    also help

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    Put a masking tapeon the copper sideof the board, enough

    to fully cover thesurface

    using the carbonpaper transfer your

    design to themasking tape

    Use a cutter toremove excess

    masking tape fromyour design.

    30

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    Etching

    Material andEquipment

    Ferric Chloridepowder

    distill or plain water

    glove

    glass, plastic,wooden rod or old

    chopstick long container for

    the etchant

    a boarder containerfor boiling hot waterbelow

    3 litre of boilingwater

    drilling machine

    plastic string

    developed PCB

    board container with water

    for washing

    detergent

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    Ferric Chloride is useto etch away coppersurface on the PCBboard. It is a verytoxin chemical and is

    harmful to theenvironment. Pleasehandle and disposethe chemical waste

    with care. It is darkyellowish in colorand can stain yourclothing.

    32

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    Remember to wearprotective gloves

    while handling

    FeCl3. Chemical is

    toxin and will cause

    skin irritation Wash

    skin with running

    water immediatelywhen in contact

    with skin.

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    Stronger FeCl3 solution enables etching

    process to be faster.

    When design PCB board, it may be a good idea

    to fill up with regions of copper. This is to

    minimise the area of copper surface to be

    etched away. With less copper to etched, it

    will also means that the solution can beeffectively use to etch more PCB board

    Winter 2007 UCSD: Physics 121; 2007 34

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    Etchant mixture

    The solvent compositefor making the etchantconsist of about 1 unitof Ferric ChlorideFeCl3 is to 3 unit of

    water or about 1 unitof AmmoniumPersulphate is to 5unit of water.

    Stir the mixture untilFeCl3 is fully dissolvedwith the water.

    Winter 2007 35

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    Board preparation for etching

    Drill a small hole onthe PCB board so

    that a string can be

    secure to the

    board. The string is

    use to position or

    pull out the PCB in

    the toxin solution.

    36

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    or

    A scotch tape can be

    used to secure the

    string to the PCB

    board.

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    Immerse the PCBboard slowly intothe FeCl3 solution.Agitate the PCB by

    tilting the containerto and fro gently,until the unwantedcopper layer are

    properly etchedaway, leaving onlythe required regionon the PCB.

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    The process maytake 15 - 60

    minutes to

    complete. Process

    duration will

    depends on the

    concentration,

    temperature of theetchant solution.

    39

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    After theunnecessarycopper clad isremoved, use a

    hand drill fordrilling componentholes.

    1/16 for diodes andwires and 1/32 forresistors andcapacitor.

    Winter 2007 UCSD: Physics 121; 2007 41

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    The soldering irontip transfers thermal

    energy from theheater to the solderconnection. In mostsoldering iron tips,the base metal iscopper or somecopper alloy becauseof its excellentthermal conductivity.

    42

    basics of Soldering.

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    A tip's conductivity

    determines how

    fast thermal energycan be sent from

    the heater to the

    connection.

    43

    Right Amount of Solder

    a) Minimum amount ofsolder

    b) Optimalc) Excessive solder

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    What is the first component?

    1. Resistors2. Capacitors

    3. Diodes

    4. Transistors5. ICs

    6. Connecting wires

    7. Heat sink

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