One post will do.

 

First, how about showing YOUR best attempt to work YOUR homework problem?

 

I faced this question in an interview at a certain company but failed to solve. Could you please help me.

 

We can help you AFTER you show YOUR attempt to solve it. That will let us get a glimpse of what approach you are trying and where you are going right and where you are going wrong.

The bad news is that I suspect they were expecting you to be able to answer this question immediately and by inspection. But just telling you the answer won't help you learn the concepts that they wanted to know if you knew. So let's take it one step at a time.

In terms of the variables Vs, R1, R2, and RL, where Vs is the 100V supply and RL is the 50Ω load resistor, what is the power that is delivered to RL? Let's get that far and, once that is correct, we can proceed.

 

You have four combinations of R1 and R2.

Case 1.
R1=0
R2=0
Assuming 50 Ohm is the load, solve for power.

Case 2.
R1=0
R2=100 Ohm
Assuming 50 Ohm is the load, solve for power.

Case 3.
R1=100 Ohm
R2=0
Assuming 50 Ohm is the load, solve for power.

Case 4.
R1=100 Ohm
R2=100 Ohm
Assuming 50 Ohm is the load, solve for power.

 

The problem doesn't say that R1 and R2 are either 0Ω or 100Ω, it says that that are merely between those two values, inclusive, and he is supposed to find values that result in the maximum power possible delivered to the load.

At least that's the way I read the problem description.

 

And who is the load? All off them are, I think.

 

The problem doesn't say that R1 and R2 are either 0Ω or 100Ω, it says that that are merely between those two values, inclusive, and he is supposed to find values that result in the maximum power possible delivered to the load.

At least that's the way I read the problem description.

It is actually pretty simple.

When R1=0 (R1 is short), 100 volts is across the load, that is when there is maximum power at the load.

Or you can crunch the numbers. "Pilot's choice."

 

And who is the load? All off them are, I think.

Yes, the wording is ambigious. It might be that they want three anwers: max power at 50 Ohm resitor, max power at R1, max power at R2.

 

It is a trick question. Well, it is only a trick if you miss the point..., which I guess is the point...

 

in the question it is asked to find max power @ load resistance and the values of R1&R2 at maximum power at load

 

I tried to solve using thevenins theorem & maximum power transfer theorem but i failed to solve.Could you please help me.

 

Yes, the wording is ambigious. It might be that they want three anwers: max power at 50 Ohm resitor, max power at R1, max power at R2.

not all of them are load only load resistance 50 ohms is the load.

 

We can help you AFTER you show YOUR attempt to solve it. That will let us get a glimpse of what approach you are trying and where you are going right and where you are going wrong.

The bad news is that I suspect they were expecting you to be able to answer this question immediately and by inspection. But just telling you the answer won't help you learn the concepts that they wanted to know if you knew. So let's take it one step at a time.

In terms of the variables Vs, R1, R2, and RL, where Vs is the 100V supply and RL is the 50Ω load resistor, what is the power that is delivered to RL? Let's get that far and, once that is correct, we can proceed.

I tried to solve using thevenins theorem & maximum power transfer theorem but i failed to solve.Could you please help me.

 

And who is the load? All off them are, I think.

not all of them are load only load resistance 50 ohms is the load.

 

And who is the load? All off them are, I think.

not all of them are load only load resistance 50 ohms is the load.

 

I tried to solve using thevenins theorem & maximum power transfer theorem but i failed to solve.Could you please help me.

You need to show us what you have done. That is the only way we can help you. I don't understand why you keep repeating yourself.

 

This could get laborious.
Perhaps the OP should read post #9. Almost the end of the story .... except for a statement concerning R2.....

 

I tried to solve using thevenins theorem & maximum power transfer theorem but i failed to solve.Could you please help me.

Then SHOW us your attempt to solve it that way. Go back and try using the approach I suggested in Post #5. You've been given plenty of hints that should lead you to see the solution by inspection, but the fact that you aren't seeing how to exploit them is a strong indicator that you will be best served by slugging through it. At some point you will have an, "Ah hah!" moment and see the light.