# Solved Problems-3

Problem-3

A transmission line is lossless and is 30 m long. It is terminated in a load impedance of

*Z**= (30 +*_{L}*j*20)Î© at a frequency of 10 MHz. The inductance and capacitance of the line are*L*= 100 nH/m,*C*= 20 pF/m. Find the input impedance of the line at the source end and at the midpoint of the line.Solution

Here,

The characteristic impedance of the line is,

The phase constant of the line is,

So, the input impedance at the source end is given as,

So, the input impedance at the midpoint (

*Z*= (30 +_{L}*j*20) Î©,*L*= 100 nH/m,*C*= 20 pF/m,*f*= 10 MHz,*l*= 30 mThe characteristic impedance of the line is,

So, the input impedance at the source end is given as,

*z*= 15 m) is given as,