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Low Pass filter shape
High pass filter shape
Band pass filter shape
Band-stop (low-high-pass) filter shape
Show the pass band and stop band on the given filter shown in the following figure. Estimate the cutoff frequency(s)
Passband = 800 - 200 = 600 Hz
Stop Band = 2*(200) = 400 Hz
An inverting op-amp circuit has a gain of 28 dB and is to output a nominal signal voltage of -1.25 V. If the circuit measures to be 2.5 mA across R2, what is the value of the resistors (R1 and R2) used in the circuit.
Draw an inverting op amp filter
10. Suppose this is connected to a sensor with an output impedance of 10 Ω, would you expect this inverting circuit to cause significant loading errors?
Sensor output voltage is the same as filter input voltage:
So, do voltage divider where we are interested in the voltage across R1 considering the impedance of the sensor:
Vin’ = Vsensor x R1/(R1+Zsensor)
Vin’ = 19.9/29.9 x Vsensor = 0.665Vsensor I think this means there would be a 33.5% loading error.
If a 741 Op-amp (with GBP = 1 MHz) is used, what will the cutoff frequency of the amplifier circuit be? This uses Gain from question 8 as 25.12
GBP=bandwidth*Gain at which the bandwidth is measured
Fc=GBP/Gain
GBP= 1MHz
Gain for the op amp=25.12
Fc= 39.8 kHz ???????
A low-pass Butterworth filter has a passband gain of 0dB, a cutoff frequency of 10 kHz, and a roll-off of 6 dB/octave in the stopband. What will the voltage gain be at 40 kHz in dB?
Gain at 40kHz = 2* -6= -12
A 3 V signal is amplified to 30 V through a non-inverting amplifier circuit. If R1 is measured to be 4.7 kΩ, what is R2?
and draw the circuit
6 major elements of a useful instrumentation
6 major elements of a useful instrumentation
3 reasons why you might want to filter a signal
get rid of noise, avoid aliasing, if you only want data from a certain range of frequencies
advantage of butterworth
maximally flat passband
advantage of bessel
nearly linear variation of phase angle with frequency in the passband
advantage of chebyshev
crisper change in slope
how to convert gain from magnitude to dB
20log(gain)
4 general types of filters
lowpass, highpass, passband, stopband
bessel
blue
butterworth
red
chebyshev
black
what type of circuit is typically used to achieve voltage attenuation
op amps
octave is ______ the frequency
double
what does CMRR stand for
Common Mode Rejection Ratio
disadvantage of butterworth
does not have a crisp change in slope
disadvantage of bessel
lower roll-off rate
disadvantage of chebyshev
ripple in passband gain