Application exercise for T and Π networks
We will consider the boomwhackers described earlier. The system under study is a tube open at one end, and closed at the other.
We will now make the equivalent network of a boomwhacker and calculate its input impedance (
) as shown below.
Questions
Represent the equivalent T-network of a boomwhacker without the termination impedance
Determine the termination impedance of the boomwhacker
Represent the equivalent circuit of the boomwhacker with the termination impedance
Calculate the value of the acoustical input impedance with the equivalent circuit. For which frequencies is the impedance zero?
Give the expression of the acoustical input impedance at low frequency (wave length very large compared to the tube length). Do we find the frequencies calculated in point 4. ?
