Module 2 : Transmission Lines
Lecture 12 : Applications of Transmission Lines
  Measurement of Unknown Impedance
The unknown impedance which is to be measured is connected at the end of the transmission line as shown in Figure below. The transmission line is excited with a source of desired frequency . From the standing wave pattern, three quantities, namely the maximum voltage , minimum voltage , and the distance of the voltage minimum from the load is measured. The ratio of and gives the VSWR on the line.
 
We know that at point B on the transmission line where the voltage is minimum, the impedance is real and its value is . The impedance is nothing but the transformed value of the load impedance . We can therefore obtain the unknown impedance by transforming back from point B to point A. Let the distance of the voltage minimum from the load be . Since the transformation from B to A is away from the generator, the distance BA is negative. The unknown impedance therefore is
 
Substituting for , we get
 
Separating real and imaginary parts we get