Transmission-line power splitter problem

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In summary, to find Z1 and l1 and Z2 and l2, we need to calculate the voltage and impedance of each resistor using Ohm's law and the power formula. The transmission coefficient is not necessary for this problem.
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reddvoid
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Homework Statement


Here R1 and R2 are to be fed in phase from a 100 ohm line with R1 receiving twice the power of R2 ...how to find Z1 and l1
Z2 and l2

to find power delivered to load we need transmission coefficient ??

i don't understand the meaning of "fed in phase"
 

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Homework Equations P = [(V^2)/R]The Attempt at a Solution Assuming R1 and R2 are in series, the equivalent resistance from the 100 ohm line is R1+R2. We can then find the voltage across each resistor using Ohm's law: V = (R1+R2)I. Since R1 is receiving twice the power, we can set up the following equation: R1I^2 = 2(R2I^2)From this equation we can solve for I and then use that to find V. Once we have V, we can find the impedance of each resistor (Z1 and Z2) using the following formula: Z = V/I We can also find the power delivered to each load using the equation: P = [(V^2)/R]. I'm not sure what transmission coefficient has to do with this problem though.
 

FAQ: Transmission-line power splitter problem

What is a transmission-line power splitter?

A transmission-line power splitter is a device used in electrical circuits to divide a single input signal into multiple output signals with equal or unequal power levels.

What is the purpose of a transmission-line power splitter?

The purpose of a transmission-line power splitter is to distribute power from a single source to multiple devices or components in a circuit, allowing for more efficient and effective use of the available power.

What are the main types of transmission-line power splitters?

The main types of transmission-line power splitters include resistive splitters, reactive splitters, and hybrid splitters. Resistive splitters use resistors to divide the power, reactive splitters use inductors and capacitors, and hybrid splitters use a combination of both.

What are some common problems associated with transmission-line power splitters?

Common problems with transmission-line power splitters include signal loss, mismatched impedance, and frequency limitations. These issues can lead to decreased efficiency and accuracy in the output signals.

How can I troubleshoot and solve transmission-line power splitter problems?

To troubleshoot and solve transmission-line power splitter problems, you can perform various tests such as checking for proper connections, measuring impedance, and adjusting power levels. It is also important to ensure that the components used in the splitter are suitable for the desired frequency range. Seeking professional help may also be necessary for more complex issues.

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