2EC403_Microwave Engineering

NIRMA UNIVERSITY

INSTITUTE OF TECHNOLOGY B.Tech Semester VII (EC)

2EC403 MICROWAVE ENGINEERING

Assignment 1

1. A transmission line has following parameters:

R = 2 /m, G = 0.5 mmho/m f=1 GHz L = 8 nH/m C = 0.23 pF Calculate (a) the characteristic impedance (b) the propagation constant.

2. A telephone line has R = 6 ohms/km, L = 2.2 mho/km, C = 0.005 f/km and G = 0.05

mho/km. Determine Zo, , at 1 KHz. If the line length is 100 km, determine the attenuation and phase shift of the signal. Calculate the phase velocity of the signal.

3. A telephone line has R = 6 ohms/km, L = 2.2 mho/km, C = 0.005 f/km and G = 0.05

mho/km, the line length is 100 km, if a signal of 1 V supplies power to the line terminated in its characteristics impedance, find the power delivered at the receiving end.

4. A lossless transmission line with characteristic impedance 500 ohms is excited by a

signal of voltage 100o volts at 1.2 MHz. If the line is terminated by ZL at a distance 1

Km, calculate (a) input impedance of the line for ZL = and 0 (b) the voltage at the mid point of the line for ZL = Z0

5. A 50 ohm lossless line connects a signal of 100 KHz to a load of 100 ohm. The load

power is 100 mW. Calculate the (a) voltage reflection coefficient (b) VSWR (c) position

of the first Vmin and Vmax. (d) Impedance at Vmin and Vmax and values of Vmax and

Vmin.

6. A lossless transmission line with characteristic impedance of 300 ohm is fed by a

generator of voltage 00 volts and impedance 100 ohm. The line is 100m long and is terminated by a resistive load of 200 ohm. Calculate the reflection loss, the transmission

loss and return loss.

7. A transmission line of length 100m and characteristic impedance of 100 ohm is

terminated by a load ZL = 100 j200 ohm. Using Smith Chart determine the line impedance and admittance, at 25m from the load end at a frequency of 10 MHz.

8. A lossless transmission line has C = 95 pF/m, Zo= 100 ohms, If the operating frequency

is 3 GHz, calculate (a) the phase constant (b) the phase velocity Vp (c) the wavelength on

the line.

9. Sketch the standing wave patterns for the voltage and current along the line when the

termination is (a) open circuit (b) short circuit (c) purely inductive load (d) purely

capacitive load (e) matched load Zo.

10. Calculate the incident power for the transmission line of length 100m and characteristic

impedance of 100 ohm is terminated by a load ZL = 100 j200 ohm. Also determine the net power delivered to the load for a frequency of 10 MHz.