- #1

- 4

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help me guys....

i reall need the answer ASAP....

Thanx in advance..

i reall need the answer ASAP....

Thanx in advance..

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- Thread starter ida_fahani
- Start date

- #1

- 4

- 0

help me guys....

i reall need the answer ASAP....

Thanx in advance..

i reall need the answer ASAP....

Thanx in advance..

- #2

- 388

- 3

In a simple RC filter yes.

- #3

berkeman

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Write the transfer equation for a simple RC lowpass filter as lpfr suggests, using complex impedances. Then solve for the frequency where the magnitude of the transfer function is:

[tex]\frac{V_o}{V_i} = -6dB [/tex]

or

[tex]\frac{P_o}{P_i} = -3dB [/tex]

and then plug that frequency back into the transfer function equation to find the phase shift at the -3dB point. Show us your work.

EDIT -- fixed a power versus voltage error that I had in the transfer function equations.

[tex]\frac{V_o}{V_i} = -6dB [/tex]

or

[tex]\frac{P_o}{P_i} = -3dB [/tex]

and then plug that frequency back into the transfer function equation to find the phase shift at the -3dB point. Show us your work.

EDIT -- fixed a power versus voltage error that I had in the transfer function equations.

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- #4

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thanx...really apperitiate if u guys can explain to me in deapth..

- #5

berkeman

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thanx...really apperitiate if u guys can explain to me in deapth..

We'd be happy to. Show us your work in writing the equations that I mentioned, and then we can start discussing them if you don't get something. Again, we do not do your work here on the PF -- you need to show your work here, in order to get our help.

- #6

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the question is:

why we choose -3db as a corner frequency?

why -3db show 45 degree phase shift?

why we choose -3db as a corner frequency?

why -3db show 45 degree phase shift?

- #7

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i just need your help to enhance my answer.

- #8

berkeman

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the question is:

why we choose -3db as a corner frequency?

why -3db show 45 degree phase shift?

AFAIK, -3dB power (or -6dB voltage) is just a handy convention for the "corner" frequency. Although the -45 degree phase shift may be the reason that it is the handy convention.

For you to give a good answer to these questions, you need to do the math that I described. You will see why the -45 degree phase shift corresponds to a -3dB in power for the transfer function, or equivalently a -6dB in the voltage transfer function.

BTW, I see now that I was careless and showed -3dB in the voltage tranfer function. I've gone back and corrected that. in my previous post in this thread.

- #9

berkeman

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And here's a wikipedia.org article that may be of help:

http://en.wikipedia.org/wiki/Low-pass_filter

http://en.wikipedia.org/wiki/Low-pass_filter

- #10

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There is a 45 degree shift because R=C at fc. So the circuit is neither capacitive nor resistive. arctan -Xc/R where Xc=R so arctan -Xc/R == arctan -1 ==-45deg.

that was a little shortcutish way.

real angle derivation is from the transfer function berke is talking about. vo/vi. you will find the angle to be -90 - arctan -Xc/R for lowpass RC.

hope that was helpful.

that was a little shortcutish way.

real angle derivation is from the transfer function berke is talking about. vo/vi. you will find the angle to be -90 - arctan -Xc/R for lowpass RC.

hope that was helpful.

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