Arholiadau YsgoloriaethIonawr 2014

Scholarship ExaminationsJanuary 2014

Amser a ganiateir : 2 awrELECTRONEG

Time allowed: 2 hoursELECTRONICS

You may attempt any of the questions. Credit will be given for complete answers.

1. The circuit below has the following truth table:

V / W / X / Y / Z
0 / 0 / 0 / 0 / 0
0 / 1 / 0 / 1 / 1
1 / 0 / 1 / 0 / 1
1 / 1 / 0 / 0 / 0

Write a Boolean expression for the logic function that corresponds to the output of each component, A, B and C:

Component A: ______

Component B: ______

Component C: ______[3]

What single component would give the same behaviour as this circuit?

______[1]

2. A logic diagram is shown below.

a) Complete the truth table for signals D, E and F.

C / B / A / D / E / F
0 / 0 / 0
0 / 0 / 1
0 / 1 / 0
0 / 1 / 1
1 / 0 / 0
1 / 0 / 1
1 / 1 / 0
1 / 1 / 1

[2]

b) Redraw the circuit replacing each circuit with its NAND gate equivalent.

[3]

c) Cross out any redundant pairs of NAND gates in your diagram.[2]

3. Simplify the following Boolean expressions, showing all appropriate working.

A 0 / 1
B 0
1

a) = ______[1]

b) = ______[1]

c) By means of a Karnaugh map or the rules of Boolean algebra, simplify the following expression as much as possible.

BA 00 / 01 / 11 / 10
DC 00
01
11
10

______

______

______

______

______

[4]

Apply DeMorgan’s theorem to the following expression and simplify the result.

______

______

______

[3]

4. An extract from the data sheet for an op-amp is shown below.

Parameter / Value
Input Impedance / 20M
Output Impedance / 10
Open loop gain / 105
Gain Bandwidth Product / 2MHz
Slew Rate / 2V.s-1

a) Draw a diagram of the op-amp in an inverting configuration, with a gain of -20. You should choose the resistor values from the E24 series and ensure that the amplifier has an input impedance of at least 50k.

The op-amp is powered from a 15V supply and saturation occurs at 14V.

[4]

b) How long will the amplifier take to change its output from -10V to +10V, on the application of a large step input?

______[1]

c) The following waveform is applied to the input of your amplifier. Sketch the output waveform on the axes provided.

[3]

5. Use the information in the circuit diagram to find the values of the quantities listed below.

I1 ______

______[2]

I2 ______

______[2]

V1 ______

______[2]

R1 ______

______[2]

6. The following circuit is to be used to bias the base of a transistor amplifier.

Find and draw the Thévénin equivalent circuit for this potential divider.

Open circuit voltage, VOC = ______

Short circuit current, ISC = ______

Equivalent circuit resistance, RO = ______

Thévénin equivalent circuit

[5]

Assuming the base current is 50A, what will be the base voltage, VB?

______[3]

7. Complete the following diagram of a half-wave rectified power supply.

[3]

On the axes below sketch the output voltage, VOUT.The dotted line shows the input voltage.

[2]

The rectifier above is replaced by a full-wave rectifier. Sketch the output voltage for a similar output current to that above.

[4]

8. Complete the diagram of an astable circuit based on a Schmitt inverter.

[3]

If the Schmitt inverter has the following characteristic curve, sketch the voltage at the INPUT of the inverter on the axes below.

[3]

If your resistor is of value 500R, find the capacitor value which gives your circuit an output frequency of 1kHz.

______[3]

9. Draw a circuit diagram of a “simple” radio receiver.

[4]

Draw a block diagram of a superheterodyne radio receiver.

[5]

Choose three of the blocks in your diagram above and explain their function.

i)

______

______[2]

ii)

______

______[2]

iii)

______

______[2]

State two advantages of the superheterodyne receiver over the simple receiver.

______

______[2]