How Do You Calculate Input Currents and Load Voltage in a Transmission Line?

[lostinhere]

Z in =50-j10 Ohms
i in=2 amps
length = 2 meters
Z0=75 Ohms
u=2E8 meters per second
beta=.3 rad/m

How do I find I+ and I- at the input?
What is the voltage at the load?

Any help would be appreciated.

 

[berkeman]

Z in =50-j10 Ohms
i in=2 amps
length = 2 meters
Z0=75 Ohms
u=2E8 meters per second
beta=.3 rad/m

How do I find I+ and I- at the input?
What is the voltage at the load?

Any help would be appreciated.

You must list the relevant equations and show us some of your own work before we can offer you tutorial assistance. How would you start this problem?

 

[piercas]

Based on the given information, we can calculate the characteristic impedance of the transmission line using the formula Z0 = (Zin * Zout)^0.5. Substituting the values, we get Zout = 75 Ohms * (50-j10 Ohms)^0.5 = 75 Ohms * (55.9-j11.2 Ohms) = 4192.5-j840 Ohms.

To find I+ and I- at the input, we can use the voltage and current relationship for a transmission line, which is I+ = (Iin + I-)/2 and I- = (Iin - I+)/2. Substituting the given values, we get I+ = (2 + I-)/2 and I- = (2 - I+)/2.

To find the voltage at the load, we can use the formula Vout = Vin * e^(-j*beta*l), where Vin is the voltage at the input, beta is the propagation constant, and l is the length of the transmission line. Substituting the values, we get Vout = (2 * e^(-j*0.3*2))/4192.5-j840 = 0.000476+j0.000095 Volts.

I hope this helps. Let me know if you have any further questions.