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The expression of the characteristic impedance of a symmetrical T-section is?(a) ZOT=√(Z1^2/4-Z1Z2)(b) ZOT=√(Z1^2/4+Z1)(c) ZOT=√(Z1^2/4+Z2)(d) ZOT=√(Z1^2/4+Z1Z2)The question was posed to me at a job interview.My query is from Filter Networks topic in chapter Filters and Attenuators of Network Theory

Answer»

The CORRECT option is (d) ZOT=√(Z1^2/4+Z1Z2)

Explanation: For a T-section, the VALUE of input IMPEDANCE when it is terminated in Zo is

Zin=(Z1/2)+(Z2((Z1/2)+Zo))/((Z1/2)+Z2+Zo) and Zin=Zo. On solving, the expression of the characteristic impedance of a symmetrical T-section is ZOT=√(Z1^2/4+Z1Z2).



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