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lab 4_R-C R-L Circuit in series.pdf

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AC SIGNAL‘S ACTION TO R-C, R- L CIRCUITS I.Learning Objectives: a. Define equivalent resistance of RC circuit b. Define equivalent resistance of RL circuit c. Calculate the phase difference of 2 signals. II.Theory: Current I(t) and potential difference U(t) in an AC circuits are defined by using Oscilloscope in 2 channel mode. A function generator S 12 is used as a voltage source which has U 0 amplitude and variable frequency f. Measurements are used to calculate average v
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   AC SIGNAL‘S ACTION TO R-C, R- L CIRCUITS   I.Learning Objectives: a.   Define equivalent resistance of RC circuit  b.   Define equivalent resistance of RL circuit c.   Calculate the phase difference of 2 signals. II.Theory: Current I(t) and potential difference U(t) in an AC circuits are defined by using Oscilloscope in 2 channel mode. A function generator S 12  is used as a voltage source which has U 0  amplitude and variable frequency f. Measurements are used to calculate average value of equivelent resistor follow expression: Z = U 0  / I 0  and the phase difference   between current and potential difference. Alternating-current circuit (AC) theory: -   If circuit has only resistor, current and potential difference between 2 terminal of resistor have the same phase -   If AC circuit has only inductions, current’s phase is  /2 later than potential difference ‘s phase -   If AC circuit has only capacitor, current’s phase is  /2 sooner than potential difference ‘s phase 2.1. AC Circuits have resistor and capacitor in series RC circuit in series: -   Use current as a srcin. -   Potential difference between 2 terminal of resistor and current the same phase -   Potential difference between 2 terminal of capacitor is  /2 later than current . AC current : i = I 0 . Sin(  t) Potential difference on R : u R   = U 0RSin  (  t) Potential difference on C : u C  = U 0CSin  (  t -  /2) Potential difference on RC : u = U 0  Sin (  t +  )    With:   is the phase difference between potential difference and current’s amplitude in circuit.   can be calculated from phase diagram Potential difference on RC : u = U 0  Sin (  t +  )    With:   is the phase difference between potential difference and current’s amplitude in circuit.   can be calculated from phase diagram. In series RC circuit: u = u R   + u C  RC circuit in series   Gi ản đồ  pha c ủ  a  mch RL n ố  i ti ế      Phase diagram of RC circuit in series    And U 2  =U 2r   +U 2c     U 2 = I 2  (R  2  + 1/(  .c) 2 ) So that, we can definde summary resistance of RC circuits in series:   222 .1 C  R Z      Phase difference between potential difference and current’s amplitude in circuit is tg (  ) =  L RU U   RC  ..1     Summary: if we know U R  , U C , and phase difference  , we can find current and equivalent resistance in circuit.. 2.2. AC Circuits have resistor and inductor in series RL circuit in series: -   Use current as a srcin. -   Potential difference between 2 terminal of resistor and current the same phase -   Potential difference between 2 terminal of inductor is  /2 sooner than current . RL circuit in series AC current : i = I 0 . Sin(  t) Potential difference on R : u R   = U 0RSin  (  t) Potential difference on L : u L  = U 0LSin  (  t +  /2) Potential difference on RL circuits : u = U 0  Sin (  t +  )    With:   is the phase difference between potential difference and current’s amplitude in circuit.   can be calculated from phase diagram With RL sreial circuit: u = uR + u L  And U 2  =U 2r   +U 2L     U 2 = I 2  (R  2  + (  .L) 2 ) So that, we can definde summary resistance of RL circuits in series:   222 .    L R Z     Phase difference between potential difference and current’s amplitude in circuit is tg (  ) =  R LU U   R L .     Summary: if we know U R  , U L , and phase difference  , we can find current and equivalent of resistor in circuit.. 2.3. AC Circuits have inductor and capacitor in series Phase diagram of RL circuit in series    -   Use current as a srcin. -   Potential difference between 2 terminal of capacitor is  /2 later than current . -   Potential difference between 2 terminal of inductor is  /2 sooner than current AC current : i = I 0 . Sin(  t) Potential difference on L : u L  = U 0LSin  (  t +  /2) Potential difference on C : u C  = U 0CSin  (  t -  /2) Potential difference on RL circuit : u = U 0  Sin (  t +  ) So that: U = U L  – U C  Summary: The phase difference is  /2 if UL   is greater than UC. And  phase difference is   =-  /2 if UL   is smaller than UC. III.Apparatus   3.1 Define equivalent resistance of RL circuit   Order Equipments Quantity 1 A4 Test board 1 2 Resistor STE 1  , 2W 1 3 Resistor STE 100  , 2W 1 4 Resistor STE 10k   , 0.5W 1 5 500 turns coil 1 6 1000 turns coil 1 7 Funtions Generator S12 1 8 Oscilloscope 303 1 9 Jack 2 10 Wire 1 11 Multimeter 2  3.2. Define equivalent resistance of LC circuit   Order Equipments Quantity 1 A4 test board 1 2 Resistor STE 10  , 2W 1 3 Resistor STE 100  , 2W 1 4 Capacitor STE 1  F, 100V 1 5 Capacitor STE 4.7  F, 63V 1 6 500 turns coil 1 7 1000 turns coil 1 8 Funtions Generator S12 1 9 Oscilloscope 303, 1 10 Jack 2 11 Wire 1 12 Multimeter 2 IV. Experimenting   4.1 Define standard for Oscilloscope in 2 channel mode. 4.1.1. Function Generator. - Connect Multimeter to the output port of function Generator for measuring different potential and frequency. - Adjust amplitude and frequency in function generator to get the signal with 5000Hz frequecy and 2V different potential at out put ports. 4.1.2. OCR HM 303-6.  Hình 5.1: Function buttons of OCR HM 303-6
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