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    Prefixes to know:

    nano micro milli kilo mega gigan m k M G

    10-9 10-6 10-3 103 106 109

    ~*~*~*~*~ELECTRICITY~*~*~*~*~

    Equations:

    Q = It

    V =QW

    E = IVt

    V = IR

    P = IV

    P = I2R and P =R

    V2

    l

    RA=

    Definitions based on these equations:

    Q = charge measured in C

    I = current measured in At = time measured in s

    V = p.d. measured in V

    W = work done measured in J

    E = energy (work done) measured in J

    R = resistance measured in

    P = power measured in W

    = resistivity measured in m

    A = X-sectional area measured in m2

    l= length measured in m

    Current is the rate of flow of charge Potential difference is the work done

    per unit charge

    Emf is the electrical energy produced

    per unit charge passing through the

    source

    Resistance is a measure of the

    difficulty of making current pass

    through a componentPower is defined as the rate at which

    electrical energyis transferred by an

    electric circuit

    Resistivity is a measure of how

    strongly a material opposes the flow

    of electric current

    http://en.wikipedia.org/wiki/Electrical_energyhttp://en.wikipedia.org/wiki/Electric_circuithttp://en.wikipedia.org/wiki/Electrical_energyhttp://en.wikipedia.org/wiki/Electric_circuit
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    Ohms Law: states that the pd across a metallic conductor is proportional to

    the current through it, provided the physical conditions do not

    change.

    The graphs below show the current against pd for different components:

    Superconductors: A superconductor is a wire or device made frommaterial that has zero resistivity at and below a critical

    temperature (specific to the material). The wire

    therefore has zero resistance below this temperature

    and when current passes through it, there is no pd across

    wasted.

    Circuits

    Symbols you must learn!+ -

    A

    V

    Thermistor

    V

    I Diode

    V

    IWire

    V

    I Lamp

    V

    I

    0.6

    SwitchLamp

    Lamp

    Lamp

    Variable resistor

    Cell

    Resistor

    Ammeter

    Diode

    Voltmeter

    Variable resistor /

    Potential divider

    I

    + -

    R

    I electrons

    + -

    R

    electrons

    Electron

    flow:

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    Conventional

    current

    flow:

    Rules for current and potential difference:In series In parallel

    Current The current across components

    in series is the same

    The sum of the currents in a

    parallel circuit add to the

    current through the cell or

    battery

    Potential difference The sum of the pds across all

    the components is equal to the

    supply pd

    The pd across components in

    parallel is the same

    *Current splits at a junction and will split in the opposite ratio to the

    resistance in each branch*

    Resistors in series: RT= R1 + R2 + R3 etc

    Resistors in parallel:321

    1111

    RRRRT++= etc

    Internal resistance, r, is due to the opposition to the flow of charge

    through the source.

    When plotting a graph of V against I, should get:

    Y-axis intercept is Gradient is r

    The Potential Divider

    Theory: A potential divider circuit consists of 2 or more resistors in series,and a source of fixed pd. The pd of the source is divided between the

    resistors (and any other component in series). Uses are:

    To supply a pd which is fixed at any value between 0 and source pd

    To supply a variable pd

    To supply a pd that varies with a physical condition, eg temperature

    In the circuit shown:

    Q

    E= IrIR+=

    p.d./V

    I/A

    I

    12V

    (V0)

    V1

    V2

    R1

    R2

    pd across R1 =21

    1

    RR

    R

    +x V0

    pd across R2 = 21

    2

    RR

    R

    + x V0

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    Some possible circuits using a potential divider:

    AC Current

    Oscilloscopes

    You need to be able to read the scale on the x-axis (time base)

    and the y-axis (voltage). Then work out the frequency from the

    time base using:

    The oscilloscope may be used as a voltmeter:

    Screen

    Zero

    Line

    A.C. trace

    Peak

    VoltagePeak-Peak

    Voltage

    Brightness control using a

    variable potential divider A temperature sensor A light sensor

    2

    0V

    Vrms = 2

    0I

    Irms =

    Tf

    1=

    Applied pd = 0V

    Applied pd = +4V

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    ~*~*~*~*~PARTICLES~*~*~*~*~

    The atom consists of a positively charged nucleus, composed of protons and

    neutrons.

    Electrons orbit the nucleus in outer shells

    Isotopes are atoms of the same element with the same number of protons

    but different numbers of neutrons.

    Isotopes are labelled as:

    Specific charge of a charged particle =mass

    ech arg

    The four fundamental forces:

    Force Exchange particle Acts on Range

    Gravity Graviton All particles Infinite

    Electromagnetic Photon Charged particles Infinite

    Strong interaction Gluon Hadrons ~10-15m

    Weak interaction W+, W-, Z0 All particles ~10-18m

    Applied pd = -3V

    Mass or nucleon

    number. It is the

    number of

    protons and

    neutrons

    U238

    92

    Atomic number.

    It is the number

    of protons only.

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    Classification ofparticles:

    Some facts!

    Hadrons:interact through thestrong interaction and decay through the

    weak interaction

    Leptons: only interact through the weak interaction and the electromagnetic

    interaction if they are charged

    Baryons are protons and all other hadrons that decay into protons, either

    directly or indirectly.

    Mesons are hadrons that do not include protons in their decay products.

    Alpha particle emission: An unstable nucleus may emit an alpha particle (2

    protons and 2 neutrons.

    Showing reactions using Feynman Diagrams:

    leptons

    baryons

    qqq / qqq

    Mesons

    q q

    hadrons

    All particles(matter and

    antimatter).

    0: uu+: du-: ud

    Baryons:

    Proton: uudAntiproton: duuNeutron: udd

    Antineutron: ddu

    Mesons:

    K0: sd

    K+: suK-: us

    Leptons:

    particle antiparticle

    electron, e- positron e+

    muon, - antimuon, +

    electron neutrino, e electron antineutrino, muon neutrino, muon antineutrino,

    4

    2

    4

    2 +

    YX

    A

    Z

    A

    Z

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    Conservation lawsCharge, Baryon number, Lepton number and sometimes strangeness must be

    conserved. The tables below are to be used. Remember for quarks, they are

    1/3 of a baryon, so take 1/3 of the charge and baryon number.

    Annihilation and Pair ProductionAnnihilation is the conversion of the mass of a particle and its

    antiparticle to energy in the form of a pair of photons of EM radiation.

    When an electron and a positron (or a proton and an antiproton, etc.) collide

    they may annihilate each other. Both the electron and the positron cease to

    exist and two g ray photons are created. It is impossible for there to be

    just one photon for this would not allow both energy and momentum to be

    conserved.

    neutron-neutrino

    collision

    e

    enp +++

    eepn ++

    Electron capture

    ray

    E = 511 keV

    e

    nep ++

    electron

    ray

    ++ epne

    positron

    + decay

    E = mc2

    Where E is energy, m is

    mass and c = 3 x 108ms-1

    +

    ++ enpe

    - decay proton-antineutrinocollision

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    Pair production is the process in which a photon of EM radiation ceases

    to exist, creating a particle and its antiparticle pair in its place.

    ~*~*~*~*~THE PHOTOELECTRIC EFFECT~*~*~*~*~

    Equations:E = hf

    hf = EK +

    hf

    =min

    hf = E1 E2

    mv

    h=

    E = energy measured in J

    h = Plancks constant: 6.63 x 10-34

    f = frequency measured in Hz

    EK = max kinetic energy measured in J

    = work function measured in J

    fmin = threshold frequency measured in J

    = wavelength measured in m

    m = mass measured in kg v = velocity measured in ms -1

    Thework functionof a metal is the

    minimum energy needed by an

    electron to escape from the metal

    Thethreshold frequencyis the

    minimum frequency of light needed to

    remove an electron from the surface

    of a metal.

    Excitationof an electron (or atom)

    can occur by either collision with an

    electron or absorption of a photon.

    Both result in the electron being

    raised to a higher energy orbit.

    Fluorescenceoccurs when a gas (eg

    mercury) in a tube at low pressure has

    an electric current passing through it.

    Electrons collide with orbitingelectrons from the mercury atoms

    and excite. When they de-excite they

    emit photons of UV light which are

    absorbed by the coating in the tube.

    These atoms therefore excite, and

    they then de-excite to the ground

    state indirectly, emitting photons of

    smaller wavelength which are in the

    visible spectrum of light.

    Ionisationof an atom is when thenumber of electrons in an atom is not

    equal to the number of protons. The

    atom has either gained or lost

    electrons.

    The electronvolt (eV):1 eV = 1.6 x 1O-19 J

    Wave Particle Duality means that

    electrons display both particleproperties and wave properties,

    though not simultaneously.

    Example of particle behaviour:

    deflection due to an electric field.

    Example of wave behaviour: electron

    diffraction tube.