Basic Electrical Sciences Module 4

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    ZZ1003-Basic Electrical SciencesModule IV

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    Outline

    Background

    Magnetic effect of electric current

    Galvanometer

    Ammeter, Voltmeter, Watt meter, Energy Meter

    Cathode Ray Oscilloscope

    Electron Gun

    Cathode Ray Tube

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    Right Hand Thumb Rule or Curl Rule[1]:

    If a current carrying conductor is imagined to be held in the

    right hand such that the thumb points in the direction of the

    current, then the tips of the fingers encircling the conductor

    will give the direction of the magnetic lines of force.

    I

    B

    Magnetic Effect of Electric Current

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    KE

    TIP:

    When we look at any end of the coil carrying current, if the current is in anti-

    clockwise direction then that end of coil behaves like North Pole and if the

    current is in clockwise direction then that end of the coil behaves like South Pole.

    B

    I I

    Magnetic Field due to a Current in a Solenoid[2]

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    KE

    I I

    Electromagnet[3]

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    6

    Measuring current

    If you want to measure current "somewhere" in your

    circuit, keep a current-measuring-device (ammeter) inthe current path

    A

    I I

    Ideally, the presence of the ammeter should not

    influence what is going on in your circuit Should not change the current or the voltages

    The ideal ammeter has zero resistance

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    Galvanometer

    The galvanometer is the "classic" device to

    measure current

    Permanent Magnet Moving Coil (PMMC)

    Instrument

    Based on the magnetic effect of current coil

    7

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    Working of Galvanometer[4]

    Current Coil Produces Magnetic FiledProportional to the current

    This current coil is placed in apermanent magnetic field

    When current flows, the coilexperiences a torque proportional tothe current

    The movement of the coil is"opposed" by a spring

    The deflection of the needle isproportional to the current

    8

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    Galvanometer (cont.)

    A typical galvanometer has a "full-scale-

    current" (Ifs) of 10 A to 10 mA

    The resistance of the coil is typically 10 to

    1000 .

    How can we use a galvanometer to measure

    currents higher than its full scale current?

    1. Divide the current, so that only a well

    understood fraction goes through the coil2. Measure how much goes through the coil

    3. Rescale by the known fraction

    9

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    Rsh = "shunt" resistance

    The current I divides itself between the

    coil and the shunt I = IC + Ish

    10

    By Ohms's law, Vab = IC RC = Ish Rsh

    Ish = IC (RC/Rsh) I = IC + Ish = IC (1 + RC/Rsh)

    If RC and Rsh are known, measuring IC is equivalent tomeasuring I

    Furthermore, I is still proportional to IC, which isproportional to the deflection of the needle

    Thus, by "switching in" different shunt resistances Ican effectively change the "range" of my currentmeasurement

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    Example Galvanometer, RC=10, Ifs=1 mA What shunt resistance should I use to make a

    voltmeter with full scale deflection of the needleVfs = 10 V?

    IC = Vab/(RC + Rsh)

    RC + Rsh = Vfs/Ifs = 10 V / 1 mA = 104

    Rsh = 9,990

    Bonus: RC and Rsh in series Equivalent resistance of voltmeter = RC + Rsh = 10

    4 (large!)

    14

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    Energy Meter

    Energy = Power X Time

    To measure energy in a circuit, spring in the

    wattmeter is removed

    Total deflection in the needle is proportional to

    energy dissipated in the circuit

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    Review

    Magnetic Effect of Electric Current

    Quantitative Measurement of

    Current : Ammeter

    Galvanometer with Shunt Resistance

    Voltage : Voltmeter

    Galvanometer with Series Resistance

    Power : Wattmeter

    Energy : Energy-meter

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    Cathode Ray Oscilloscope

    Qualitative Measurement of Voltage Signals

    Components

    Electron Gun

    Fluorescent Screen

    Control Circuits

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    Electron Beam

    Electron Beam Passing Through Phosphorus

    Vapour[7]

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    CRO Block Diagram[9]

    The x and y plates can apply an external field to deflect thisbeam.

    The beam then hits a fluorescent screen

    produces a bright spot

    saw-tooth wave is applied to x plate .

    Bright spot moves horizontally and shows a horizontal line on screen

    External signal is applied to y plate Shows the signal in the screen

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    CRO Screen[9]

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    Measuring the Waveform[9]

    What are the Maximum and Minimumvoltages

    What is the frequency of the signal

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    References

    1) http://hyperphysics.phy-

    astr.gsu.edu/hbase/magnetic/magfor.html

    2) http://farside.ph.utexas.edu/teaching/316/le

    ctures/node76.html

    3) http://www.coolmagnetman.com/magelect.

    htm

    4) http://www.buzzle.com/articles/galvanomet

    er-how-it-works.htmlContd

    http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.htmlhttp://farside.ph.utexas.edu/teaching/316/lectures/node76.htmlhttp://farside.ph.utexas.edu/teaching/316/lectures/node76.htmlhttp://www.coolmagnetman.com/magelect.htmhttp://www.coolmagnetman.com/magelect.htmhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.buzzle.com/articles/galvanometer-how-it-works.htmlhttp://www.coolmagnetman.com/magelect.htmhttp://www.coolmagnetman.com/magelect.htmhttp://farside.ph.utexas.edu/teaching/316/lectures/node76.htmlhttp://farside.ph.utexas.edu/teaching/316/lectures/node76.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.htmlhttp://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html
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    5) http://www.tpub.com/neets/book16/68g.ht

    m

    6) http://advressys.com/analytic/sem.htm

    7) http://www.physics2000.com/Pages/Non-

    CalcTexts.html

    8) http://commons.wikimedia.org/wiki/File:Cat

    hode_ray_tube_-_neutral.png

    9) http://www.cmccord.co.uk/Radio/oscilloscop

    e.htm

    http://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://commons.wikimedia.org/wiki/File:Cathode_ray_tube_-_neutral.pnghttp://commons.wikimedia.org/wiki/File:Cathode_ray_tube_-_neutral.pnghttp://www.cmccord.co.uk/Radio/oscilloscope.htmhttp://www.cmccord.co.uk/Radio/oscilloscope.htmhttp://www.cmccord.co.uk/Radio/oscilloscope.htmhttp://www.cmccord.co.uk/Radio/oscilloscope.htmhttp://commons.wikimedia.org/wiki/File:Cathode_ray_tube_-_neutral.pnghttp://commons.wikimedia.org/wiki/File:Cathode_ray_tube_-_neutral.pnghttp://commons.wikimedia.org/wiki/File:Cathode_ray_tube_-_neutral.pnghttp://commons.wikimedia.org/wiki/File:Cathode_ray_tube_-_neutral.pnghttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.htmlhttp://www.physics2000.com/Pages/Non-CalcTexts.html