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The expression of short circuit impedance Zsc is?(a) Zsc=(Z1^2-4Z1Z2)/(2Z1-4Z2)(b) Zsc=(Z1^2+4Z1Z2)/(2Z1+4Z2)(c) Zsc=(Z1^2-4Z1Z2)/(2Z1+4Z2)(d) Zsc=(Z1^2+4Z1Z2)/(2Z1-4Z2)I have been asked this question by my college director while I was bunking the class.The doubt is from Filter Networks topic in portion Filters and Attenuators of Network Theory

Answer»

The correct CHOICE is (b) Zsc=(Z1^2+4Z1Z2)/(2Z1+4Z2)

The BEST I can explain: On short circuiting the port 2 of T-section, we get the expression of short circuit IMPEDANCE Zsc as Zsc=(Z1/2)+((Z1/2)XZ2)/((Z1/2)+Z2). On solving we get Zsc=(Z1^2+4Z1Z2)/(2Z1+4Z2).



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