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SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109 DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG. ----------------------------------------------------------------------------------- Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur. Email: [email protected] Page 1 MODULE-V BJT AND JFET FREQUENCY RESPONSE 1. Logarithms, 2. Decibels, 3. Low frequency response BJT Amplifier with RL, 4. Low frequency response- FET Amplifier, 5. Miller effect capacitance, 6. High frequency response BJT Amplifier, 7. High frequency response-FET Amplifier, 8. Multistage Frequency Effects. Introduction: The analysis thus far has been limited to a particular frequency. For the amplifier, it was a frequency that normally permitted ignoring the effects of the capacitive elements, reducing the analysis to one that included only resistive elements and sources of the independent and controlled variety. We will now investigate the frequency effects introduced by the larger capacitive elements of the network at low frequencies and the smaller capacitive elements of the active device at high frequencies. Because the analysis will extend through a wide frequency range, the logarithmic scale will be defined and used throughout the analysis. In addition, because industry typically uses a decibel scale on its frequency plots, the concept of the decibel is introduced in some detail. 1. LOGARITHMS: The plotting of a variable between wide limits, comparing levels without having to deal with unwieldy numbers, and identifying levels of particular importance in the design, review, and analysis procedures are all positive features of using the logarithmic function.
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Page 1: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 1

MODULE-V

BJT AND JFET FREQUENCY RESPONSE

1. Logarithms,

2. Decibels,

3. Low frequency response – BJT Amplifier with RL,

4. Low frequency response- FET Amplifier,

5. Miller effect capacitance,

6. High frequency response – BJT Amplifier,

7. High frequency response-FET Amplifier,

8. Multistage Frequency Effects.

Introduction:

The analysis thus far has been limited to a particular frequency. For the amplifier, it

was a frequency that normally permitted ignoring the effects of the capacitive elements,

reducing the analysis to one that included only resistive elements and sources of the

independent and controlled variety. We will now investigate the frequency effects introduced

by the larger capacitive elements of the network at low frequencies and the smaller capacitive

elements of the active device at high frequencies. Because the analysis will extend through a

wide frequency range, the logarithmic scale will be defined and used throughout the analysis.

In addition, because industry typically uses a decibel scale on its frequency plots, the concept

of the decibel is introduced in some detail.

1. LOGARITHMS:

The plotting of a variable between wide limits, comparing levels without having to deal with

unwieldy numbers, and identifying levels of particular importance in the design, review, and

analysis procedures are all positive features of using the logarithmic function.

Page 2: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 2

Page 3: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 3

Page 4: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 4

Page 5: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 5

Page 6: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 6

Page 7: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 7

2. DECIBELS

The term decibel has its origin in the fact that power and audio levels are related on a

logarithmic basis. That is, an increase in power level from, say, 4 W to 16 W does not result

in an audio level increase by a factor of 16_4 _ 4, but by a factor of 2, as derived from the

power of 4 in the following manner: (4) 2 _ 16. For a change of 4 W to 64 W, the audio level

will increase by a factor of 3 because (4) 3 _ 64. In logarithmic form, the relationship can be

written as log4 64 = 3.

The term bel is derived from the surname of Alexander Graham Bell. For standardization, the

bel (B) is defined by the following equation relating two power levels, P 1 and P 2 :

Page 8: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 8

The terminal rating of electronic communication equipment (amplifiers, microphones, etc.) is

commonly in decibels. Equation (9.11) indicates clearly, however, that the decibel rating is a

measure of the difference in magnitude between two power levels.

Page 9: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 9

Page 10: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 10

3. LOW FREQUENCY RESPONSE – BJT AMPLIFIER WITH

RL

Page 11: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 11

The analysis of this section will employ the loaded ( R L ) voltage-divider BJT bias

configuration introduced earlier in Section 9.6 . For the network of Fig. 9.25 , the capacitors

Cs ,CC , and CE will determine the low-frequency response. We will now examine the impact

of each independently in the order listed.

Page 12: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 12

Page 13: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 13

Page 14: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 14

Page 15: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 15

4. LOW FREQUENCY RESPONSE- FET AMPLIFIER

The analysis of the FET amplifier in the low-frequency region will be quite similar to that

of the BJT amplifier. There are again three capacitors of primary concern as appearing in the

Page 16: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 16

network of Fig. 9.37 : C G , C C , and C S .Although Fig. 9.37 will be used to establish the

fundamental equations, the procedure and conclusions can be applied to any FET

configuration.

Page 17: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 17

Page 18: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 18

Page 19: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 19

5. MILLER EFFECT CAPACITANCE

In the high-frequency region, the capacitive elements of importance are the inter electrode

(between-terminals) capacitances internal to the active device and the wiring capacitance

between leads of the network. The large capacitors of the network that controlled the low

frequency response are all replaced by their short-circuit equivalent due to their very low

reactance levels.

In high frequency analysis of the transistor, it is necessary to split the capacitance

between inout and output. This can be achieved using Millers theorem.

Page 20: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 20

Any inter electrode capacitance at the input terminals to the amplifier will simply be

added in parallel with the elements of Fig. 9.43 .

Page 21: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 21

The Miller effect will also increase the level of output capacitance, which must also be

considered when the high-frequency cutoff is determined. In Fig. 9.44 , the parameters of

importance to determine the output Miller effect are in place. Applying Kirchhoff’s current

law results in

Page 22: DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG A… · secab institute of engineering & technology, vijayapur-586109 department of electronics & communication engg. -----mr. santosh

SECAB INSTITUTE OF ENGINEERING & TECHNOLOGY, VIJAYAPUR-586109

DEPARTMENT OF ELECTRONICS & COMMUNICATION ENGG.

-----------------------------------------------------------------------------------

Mr. Santosh Shirol, M.Tech, Asst. Prof., Dept. of ECE @ SECAB. I. E. T., Vijayapur.

Email: [email protected] Page 22

6. High frequency response – BJT Amplifier,

7. High frequency response-FET Amplifier,

8. Multistage Frequency Effects.


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