New Reply

How do I see the gain from this Bode plot? (simple)

 
Share Thread
Nov18-12, 03:02 PM   #1
 

How do I see the gain from this Bode plot? (simple)


This is the Bode plot of a Broadband Bandreject Op Amp amplifier. The exercise says this:

From the Bode magnitude plot in Fig. 15.14, we see that the bandreject filter has cutoff frequencies of 100 rads/s and 2000 rad/s and a gain of 3 in the passbands.
I know that in order to get both cutoff frequencies I need to subtract 3 dB from the plot, but how do I get the gain? I would think that the gain is 3 dB because it is also the distance between the top of the graph and the cutoff frequencies, but wouldn't that imply that the gain would ALWAYS be 3?

What am i doing wrong here? Thanks in advance.

EDIT

Whoops, forgot the graph. Here it is:

http://i1226.photobucket.com/albums/...bbf6c195ce.jpg
PhysOrg.com engineering news on PhysOrg.com

>> Four microphones, computer algorithm enough to produce 3-D model of simple, convex room
>> Faster, more precise airstrikes within reach
>> How smart technology could change public transit
Nov18-12, 03:18 PM   #2
 
It's a gain of 3 not a gain of 3 dB! They just say that you have about 9.5dB on the left and the right so the signal is multiplied approximately by a factor of 3.
Nov18-12, 03:19 PM   #3
 
Quote by jean28 View Post
This is the Bode plot of a Broadband Bandreject Op Amp amplifier. The exercise says this:



I know that in order to get both cutoff frequencies I need to subtract 3 dB from the plot, but how do I get the gain? I would think that the gain is 3 dB because it is also the distance between the top of the graph and the cutoff frequencies, but wouldn't that imply that the gain would ALWAYS be 3?

What am i doing wrong here? Thanks in advance.

EDIT

Whoops, forgot the graph. Here it is:

http://i1226.photobucket.com/albums/...bbf6c195ce.jpg
You want to look at the pass band gain, just read off the graph. Look at the graph at the low frequency and high frequency where the plot level off at about +9dB. Gain in dB is 20 log G, where G is linear gain. So +9dB give G≈2.81. But I just roughly read +9dB, so it is likely gain of 3, I like to stay with simple number of +9dB rather +9.54dB or something.

The notch filter is the -3dB on each side, so if you consider pass band gain is +9dB, then look at the two points of the graph crossing +9dB-3dB=+6dB.
Nov18-12, 03:37 PM   #4
 

How do I see the gain from this Bode plot? (simple)


Quote by yungman View Post
You want to look at the pass band gain, just read off the graph. Look at the graph at the low frequency and high frequency where the plot level off at about +9dB. Gain in dB is 20 log G, where G is linear gain. So +9dB give G≈2.81. But I just roughly read +9dB, so it is likely gain of 3, I like to stay with simple number of +9dB rather +9.54dB or something.

The notch filter is the -3dB on each side, so if you consider pass band gain is +9dB, then look at the two points of the graph crossing +9dB-3dB=+6dB.
Ok I see it now.

9.54 = 20 log10 (G)
0.477 = log20 (G)
10 0.477 = G
2.99 = G

Thank you very much.
New Reply

Similar discussions for: How do I see the gain from this Bode plot? (simple)
Thread Forum Replies
gain bandwidth product from bode plot Engineering, Comp Sci, & Technology Homework 4
Bode Plot Question(Phase and Gain Margin) Engineering, Comp Sci, & Technology Homework 2
Frequency Plot(or bode plot) in SIMULINK Engineering Systems & Design 1
finding gain from a bode plot Engineering, Comp Sci, & Technology Homework 1
Bode plot Advanced Physics Homework 3