1
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2
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- Capacitor review
- Store electrical charge
- Impedance:
- ∞ impedance at dc
- Impedance decreases at higher frequencies
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3
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- Capacitors
- Block dc between stages
- Can be designed to readily pass ac
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4
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- Coupling capacitors
- At “high” frequencies
- For R = Rin + RS, select capacitor so XC
≤ 0.1 R
- Referred to as “stiff coupling”
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5
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- Bypass capacitors
- Emitter resistor, Re used for biasing
- Ce is a short circuit at high frequencies
- Re has no effect on amplification when Ce is
present
- Select XC ≤ 0.1R
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6
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7
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- Capacitors
- Couple desired ac signals between stages
- Bypass unwanted ac signals to ground
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8
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- Circuit analysis
- If XC ≤ 0.1R
- Replace C with O.C. to determine dc I and V
- Replace C with S.C. to determine ac i and v
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9
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- T-Equivalent Model
- ie = ib + ic
- ie = (β + 1)ib
- Simple
- Good enough for most applications
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10
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11
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- Models
- T-equivalent model simpler
- h-parameter model more accurate
- hfe (h-model) = βac (T-model) [βac
≈ βdc]
- h-parameters dependent on Q-point
- BJT is a current amplifier (current source in both models)
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12
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- h-parameter model
- More complex
- Better for ac operation
- Common Emitter model
- hie = input impedance (Ω)
- hre = reverse voltage transfer ratio (unitless)
- hfe = forward current transfer ratio (unitless)
- hoe = output admittance (S)
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13
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- Voltage Gain, Av
- Output voltage divided by input voltage
- Input Impedance, zin
- Input voltage divided by input current
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14
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- Output Impedance, zout
- Current Gain, Ai
- Power Gain, Ap
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15
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- General BJT circuit analysis
- Find operating point
- Determine ac parameters (T- or h-
models)
- Remove dc V sources & replace with S.C.’s
- Replace coupling & bypass C’s with S.C.’s
- Replace BJT with circuit model
- Solve resulting circuit
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16
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- ac equivalent of fixed-bias CE amplifier using h-parameter model
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17
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- Equations for h-parameter model for fixed-bias CE amplifier
- Circuit voltage gain a function of
- Model forward current transfer ratio, hfe
- Model input impedance, hie
- Circuit collector resistance, RC
- Circuit load resistance, RL
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18
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- Circuit current gain a function of
- Same parameters, plus
- Fixed bias resistance, RB
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19
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- Equations for h-parameter model for fixed-bias CE amplifier
- Circuit input impedance a function of
- Model forward current transfer ratio, hfe
- Model input impedance, hie
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20
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- Circuit output impedance a function of
- Collector resistance (model output admittance), hoe very low
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21
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- Q-point is on dc load line
- ac load line determines maximum undistorted output
- Can calculate maximum power
- Q-point also on ac load line
- ac load line has different slope
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22
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23
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24
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- Equations of ac load line
- Consider
- CE amplifier circuit
- dc load line
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25
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- Important characteristics
- High input impedance
- Low output impedance
- vout in-phase with vin
- vout ≈ vin
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26
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- Important characteristics
- Large current gain
- Input voltage measured at base
- Output voltage measured at emitter
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27
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28
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- Circuit gains and impedances
- Av ≈ 1
- zin = RB||zin(Q)
- close
to hfe
-
very small
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29
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- Voltage controlled amplifier
- Small-signal model same for JFETs & MOSFETs
- High input impedance
- is = id
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30
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- gm is transconductance
- gm is slope of transfer curve
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31
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- Equations
- Definition
- Maximum
- Measured
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32
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- Analysis
- Similar to BJT using h-parameter model
- First determine bias
- Find dc operating point (Q-point)
- Determine gm
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33
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34
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- Equations
- No current input
- Voltage gain dependent on gm
and RD
- Input impedance is RG || ∞
- Output impedance approximately drain resistance
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35
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- D-MOSFETs
- Analysis same as JFETs
- Except operation in enhancement region
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36
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- E-MOSFETs
- Find IDSQ, VGSQ, and VDSQ at Q-point
- Solve for gm of amplifier
- Sketch ac equivalent circuit
- Determine Av, zin, and zout of
amplifier
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37
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- Av < 1
- vout in phase with vin
- Input impedance very high
- Output impedance low
- Main application: Buffer
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38
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- Incorrect placement of electrolytic capacitors
- Noisy output signal
- Capacitor as an antenna
- Generally 60 Hz added
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39
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- Correct placement
- Check proper polarity
- Replace faulty capacitors
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40
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- Faulty or incorrectly placed capacitor
- Measured Av different from theoretical Av
- Faulty capacitor behaves like an open circuit
- Faulty capacitor can develop internal short
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41
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- Troubleshooting steps
- Remove ac signal sources from circuit
- Calculate theoretical Q-point
- Measure to determine actual Q-point
- Verify capacitors are correctly placed
- Ensure connections, especially ground wires, as short as possible
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42
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- Distorted output signal usually the result of too large an input signal
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