Loading....
Coupon Accepted Successfully!

 

Solved Problems-10

Problems-10
For the Notch-filter (Twin-T) network, determine:
 
Description: Description: 1189.png
  1. y-parameters,
  2. the voltage ratio transfer function V2/V1 when no-load impedance is present, and
  3. the value of the frequency at which the output voltage is zero.
Solution
  1. The given network is the parallel combination of the two networks:
Description: Description: 2632.png
(a) Network               (b) Network
 
For network (a),
 
Description: Description: 5971.png
 
∴ Description: Description: 5977.png
 
∴ Description: Description: 5983.png Description: Description: 5989.png
 
Description: Description: 5995.png 
 
For network (b),
 
Description: Description: 6001.png
 
∴ Description: Description: 6010.png
 
∴ Description: Description: 6016.png Description: Description: 6022.png
 
Description: Description: 6030.png 
 
Thus, the overall y-parameters are,
 
y11 = Description: Description: 6036.png
 
and y12 = Description: Description: 6042.png
  1. Now, Description: Description: 6048.png
When no-load impedance is present, I2 = 0,
 
∴ Description: Description: 6054.png
  1. For V2 = 0 ⇒ 1 + R2C2s2 = 0
Putting s = , 1 – ω2R2C2 = 0
∴ ω = Description: Description: 6063.png
Thus, the notch frequency is given by, fN = Description: Description: 6069.png
 




Test Your Skills Now!
Take a Quiz now
Reviewer Name