Download Instrumentation: 206 L

Instrumentation: 206 L
Final Exam Preparation Guide
Exam will be held in Room 118, May 3rd 2.00- 4.00pm
Things to bring to the exam:
1. Lecture notes
2. Text Book (optional)
3. Homework Set 1
4. Solutions for mid-term exam
Things to study:
1. Revise lecture notes
2. Voltage divider
3. RC circuits (cutoff frequency, phase shift, bode plot)
4. Operational amplifiers
Voltage follower, inverting amplifier, non-inverting amplifier, summing network,
differencing amplifier, intergrating amplifier.
Transfer function (Vout = X. Vin)
5. Basic functions of oscilloscope
6. Homework Set 1
Sample problems:
Question 1
Figure 1
1. For the difference amplifier circuit in Fig. 1 (left) use the pin number diagram on the right to
assign values to the points marked a through e
2. For the same circuit determine the output voltage if V1 = 1 V, V2 = 5V, R1= R3 = 5kΩ, and
R2 = R4 = 4 x R1.
Question 2
Figure 2
For the RC circuit shown in Fig. 2 if the phase shift between the input and output signal was
measured to be -45o at frequency f, determine the value of C.
Question 3
On a Bode plot be able to label the bandwidth, cutoff frequency. See lecture notes.
Question 4
If the magnitudes of the input and output voltages of an amplifier are given as listed below,
calculate the gain of the amplifier.
i)
ii)
iii)
iv)
Vin = 2 mV, Vout = 23 mV
Vin = 3.4 mV, Vout = 1V
Vin = 5 sin (2ft), Vout = -15 sin (2ft)
Vin = 2 Vpeak-peak, Vout = 5Vpeak
Question 5
Figure 3
i)
ii)
For the op-amp shown in Fig. 3 what is the relation between Vin and Vout?
If Vout was measured on the oscilloscope and an inverted sine wave of amplitude 5V and
frequency 1kHz was observed what was the shape, amplitude and frequency of the input
signal?
Question 6
Determine the output voltage of the op-amp circuit shown in Fig. 4
Figure 4
Question 7
Determine the output voltage of the op-amp circuit shown in Fig. 5
Figure 5
Question 8
For the circuit assembly of the non-inverting amplifier shown in Fig. 5, calculate the value of R1 in
order to get a gain of 5. R2 = 4.8 kΩ.
Figure 6
Question 9
Figure 7
What is Vout?
Question 10
(i) Identify and list the different op-amp circuits in Fig. 8.
(ii) Calculate voltages V1, V2, V3, V4
(iii) Graph V4 as a function of time.
Figure 8
Solutions:
Question1
1. a = 2, b = 3, c = 1, d = 11, e = 4
2. Vout = 16 V
Question 2
C = 1/29531*f
Question 4
(i) Vout  23mV  11.5
Vin
2mV
(ii) 294
(iii) -3
(iv) 5
Question 5
(i) Vout = Vin
(ii) Amplitude = 5V, Shape = sine wave, frequency = 1 kHz
Question 6
Vout = -10.34 V
Question 7
Vout = -11.3 V
Question 8
R1 = 1.2 k
Question 9
Vout = 10 V
Question 10
(i) Summing, inverting, difference
(ii) V1 = 5V, V2 = 0, V3 = 10V, V4 = 50V
(iii) Vout = 50 sin(t)