L11_transfer_function

# L11_transfer_function - ESC102 Introduction to Electronics...

• Notes
• 32

This preview shows pages 1–10. Sign up to view the full content.

Frequency Response ESC102 : Introduction to Electronics A.R. Harish Dept. of EE, IIT Kanpur Aug 16, 2010 1 L11_transfer_function

This preview has intentionally blurred sections. Sign up to view the full version.

L11_transfer_function 2 v s ( t )=100cos( ϖ t )
The magnitude of transfer function is often specified in decibels 2 10 1 10log ( ) dB P G P = 2 10 1 20log ( ) dB V G V = 2 10 1 20log ( ) dB I G I = Because power is proportional to V 2 or I 2 , voltage gain and current gain in decibels is specified as 3 L10b_transfer_function

This preview has intentionally blurred sections. Sign up to view the full version.

|H| 20Log 10 (|H|) 1000 60 100 40 10 20 2 6 2 3 1 0 1/ 2 -3 0.5 -6 0.1 -20 0.01 -40 Decibel Scale 4 L10b_transfer_function
dB Scale 1 0.1 0.01 0.001 A plot of the decibel magnitude of transfer function versus frequency using a logarithmic scale for frequency is called a Bode plot ϖ (rad/s) 5

This preview has intentionally blurred sections. Sign up to view the full version.

How to determine the transfer function? R V S 0 V O 1/j ϖ C 1 ( ) tan ( ) CR φ ϖ ϖ - = - ) ( ) ( ) ( 0 ϖ ϖ ϖ j V j V j H S = RC j j H ϖ ϖ + = 1 1 ) ( ( 29 2 1 1 ) ( RC j H ϖ ϖ + = 6
2 3 10 1 log 20 + - = dB dB H ϖ ϖ ( 29 2 10 1 log 20 RC H dB ϖ + - = RC dB 1 3 = ϖ dB 3 ϖ ϖ - dB dB H 3 10 log 20 ϖ ϖ dB 3 ϖ ϖ << ( 29 0 1 log 20 10 = - dB H

This preview has intentionally blurred sections. Sign up to view the full version.

dB 3 ϖ ϖ - dB dB H 3 10 log 20 ϖ ϖ ϖ H dB ϖ 3dB 0 10 ϖ 3dB -20 100 -40 ϖ H dB ϖ 3dB 0 2 ϖ 3dB -6 4 ϖ 3dB -12 -20 dB per decade -6 dB per octave 301 . 0 2 log 10 = 1 10 log 10 = 8 L11_transfer_function
10 1 10 2 10 3 10 4 10 5 -40 -30 -20 -10 0 10 ϖ (rad/s) H dB RC dB 1 3 = ϖ

This preview has intentionally blurred sections. Sign up to view the full version.

This is the end of the preview. Sign up to access the rest of the document.
• Spring '10
• A.R.Harish
• Frequency, High-pass filter, Band-pass filter, Low-pass filter, Band-stop filter

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern