Systems and Subsystems
input
input transducers
process
process subsystems
output
output transducers
feedback ( sometimes )
System Diagrams
process boxes
lines represent information flow
analysis of whole systems into major subsystems
analysis of subsystems into simpler subsystems
Capacitors
store energy in the form of charge
block a direct current
allow the passage of an alternating
current
unit of capacitance is the Farad
usually measured in
pF, nF and µF
working voltage
polarisation ( electrolytic and tantalum capacitors )
leakage current
The Time Constant and RC Timing Circuits
T = R C
V = 0.63Vs ( charging ) Vs is the supply voltage
V = 0.37Vs ( discharging ) Vs is the supply voltage
50% Charge or Discharge
T = 0.69 R C
100% Charge or Discharge
Tt = 5 R C
sketch voltage / time graphs for charging and discharging
Counters - Up to 4 bits
Feedback to make a D-type flip-flop divide by 2
Up counter
Down counter
Modulo-N counters
Timing diagrams
Number Systems
Binary, Decimal and Hexadecimal
convert a 4-bit binary number to decimal
convert a 4-bit binary number to hexadecimal
Binary Coded Decimal ( BCD )
BCD decoder for a seven segment display
Operational Amplifiers
ideal op-amp properties
Input resistance = ∞
Output resistance = zero
Gain Bandwidth Product
The product of
voltage gain and bandwidth is a constant
Gain = Vout / Vin
Voltage bandwidth is the frequency range where Vout is at least 70% of the maximum
Power bandwidth is the frequency range where Vout is at least 50% of the maximum
inverting amplifier
circuit
Vout = - Vin Rf
/ Rin
Gain = - Rf
/ Rin
input resistance = Rin ( usually a low value )
the inverting input is a Virtual Earth
summing amplifier
circuit
Vout = - Rf ( V1 / R1 + V2 / R2 + V3 / R3 )
input resistance = Rin ( for each input )
the inverting input is a Virtual Earth
difference
amplifier
circuit
Vout = ( V+ - V- ) Rf /
R1
input resistance = 2 R1 ( usually a low value )
voltage follower
circuit
applications
voltage gain = 1
current and power gain can be very
large
input resistance is equal to the
resistance of the op-amp
Heat Sinks
Conduction - use a metal like aluminium
Convection - have a large surface area to let the heated air rise
Radiation - use a matte black surface to maximise heat radiation
Push Pull Amplifier - MOSFET - BJT
Estimate the maximum power output
Advantages and Disadvantages
Compare with a Class A single ended circuit
Cross over distortion is reduced by
biasing the MOSFETs with diodes and resistors
including the MOSFETS in the negative feedback path
Clipping, Limiting, Saturation
The output is limited by the power supply voltage
Increase the voltage but don't exceed the MOSFET ratings.