Two Diode Circuits - Basic Electrical Engineering - Homework, Exercises of Electrical Engineering

These are the Homework of Basic Electrical Engineering which includes Combined Signal, Magnitude of Frequency Response, Input to System, Cosine Signals, Complext Exponentials, Fourier Transform, Frequency Response of System etc.Key important points are: Two Diode Circuits, Period of Input, Resistor Biasing Ciruit, Configuration for Transistor Biasing, Unknown Resistances, Operating Point, Minimum Possible Value, Transistor Circuit

Typology: Exercises

2012/2013

Uploaded on 03/27/2013

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EEE393 Basic Electrical Engineering
Homework 4
1. For the two diode circuits below, find VZ for (VA=0V, VB=0V), (VA=5V, VB=0V), and
(VA=5V, VB=5V). Assume VON=0.7V for the diodes. For each case find V1 and V2.
2. In the diode circuit below, find for which values of VS are the diodes ON and OFF. Draw
the output VL for a period of input VS, if VS=10cos(ωt).
3. The four resistor biasing ciruit is a widely used configuration for transistor biasing
(setting the DC operating point, or the Q-point – Vout,Q, IC,Q – so that the transistor is in
the desired operating region with desired margins). We will design a biasing circuit
through the following steps.
a. What is the highest and lowest possible value for
IC (i.e. saturation and cut-off)? A useful
approximation is that IC IE (i.e. IB is negligable
with respect to IC). Accordingly, what is the
highest and lowest possible value for Vout
(Vout,min and Vout,max)?
(In terms of unknown resistances).
VS RL
+
VL
+ V1
+
5V +
+
V2
A
+5 V
Z A
B
R
V1 +
V2 +
Z A
B
R
+ V2
+ V1
Vout
R1 RC
RE
R2
+ 12V
B
C
E
1
2
B
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EEE393 Basic Electrical Engineering

Homework 4

  1. For the two diode circuits below, find VZ for (VA=0V, VB=0V), (VA=5V, VB=0V), and (VA=5V, VB=5V). Assume VON=0.7V for the diodes. For each case find V 1 and V 2.
  2. In the diode circuit below, find for which values of VS are the diodes ON and OFF. Draw the output VL for a period of input VS, if VS=10⋅cos(ωt).
  3. The four resistor biasing ciruit is a widely used configuration for transistor biasing (setting the DC operating point, or the Q-point – Vout,Q, IC,Q – so that the transistor is in the desired operating region with desired margins). We will design a biasing circuit through the following steps. a. What is the highest and lowest possible value for IC (i.e. saturation and cut-off)? A useful approximation is that IC ≈ IE (i.e. IB is negligable with respect to IC). Accordingly, what is the highest and lowest possible value for Vout (Vout,min and Vout,max)? (In terms of unknown resistances).

VS (^) R L

VL −

  • V 1 −

− 5V + −

V 2 −

A

+5 V

A Z

B

R − V 1 +

− V 2 +

A Z

B

  • V 2 − R

  • V 1 −

Vout

R 1 RC

RE R 2

  • 12V −

B

IC

IE

I 1

I 2

IB

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b. We want the minimum possible value of Vout (Vout,min) to be 2V, and the normal value for Vout (Q-point, operating point, when no AC input), Vout,Q, to be the mid point between Vout,min and Vout,max. Find the relationships between RC and RE; IC,Q and RC; and IC,Q and RE. c. The R 1 , R 2 branch is used to set the base voltage VB to the desired biasing level (VB,Q). Assuming VBE,ON=0.7 V and using the results of (b), what is VB,Q? A useful approximation is that I 1 ≈ I 2 (i.e. IB is negligable with respect to I 1 ). Find the relationship between R 1 and R 2 , assuming I 1 = I 2. d. A rule of thumb is to set I1,Q = IC,Q/5, so that the energy loss on the base branch is kept at around 20% of the output branch. Then (for β=100) IB = IC/100 = I 1 /20, and the assumption that IB is negligable w.r.t. I 1 holds. Using this rule, if IC,Q = 10mA, find RE, RC, R 1 , and R 2. Note that we didn’t use β but only assumed that it is large enough so that IB is negligable. This shows how the design is robust against variations in β. e. With the R 1 , R 2 , RC, and RE values you found above, find IC, IB, and Vout without making previous simplifications and assuming β=100 (Hint: Find Thevenin equivalent of the base branch). How much do IC and Vout differ from the target design values we used?

  1. Find Vout for the transistor circuit given in the figure. If you think of the output as consisting of a constant (DC) part and a part proportional to Vin, what is the amplification factor (i.e. the ratio of the variable part of the output to Vin.)
  2. Find Vout for the following op-amp circuit.

Vout, max

Vout, min

Vout, Q Operating point (Q-point)

Highest possible output

Lowest possible output

Output can vary between these limits, depending on the input

Vout

Vout

500 Ω

1.7V

  • 12V − IC

IE

IB

100 Ω

Vin^ + _

750 Ω

VBE

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