Finding Thevenin Equivalent with Dependent Source

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To find the Thevenin Equivalent with a dependent source, the open circuit voltage has been calculated using the mesh current method. The next step involves determining the closed circuit current after shorting points A and B, which leads to confusion due to the presence of only two nodes. Attempts to apply KCL or KVL result in trivial equations (0 = 0), indicating a need for a different approach. Clarification is sought on the potential across the shorted points A and B, as well as the voltage across the 50 k resistor. Understanding these potentials is crucial for successfully completing the Thevenin Equivalent analysis.
Matt O
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Homework Statement


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I am trying to find the Thevenin Equivalent of this circuit

Homework Equations


Using KCL and node voltage

The Attempt at a Solution


I found the open circuit voltage for the thevenin voltage so far by the mesh current method, and now I am trying to find the closed circuit current. When I connect the short from A to B, that shorts out the resistor so there are two loops left. Now I'm confused at this step. There are only two nodes in the circuit left, and anywhere I try to write KCL or KVL equations I just get 0 = 0. How do I proceed forward?
 
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If you have shorted AB then what is the potential across AB? How about the potential across the 50 k resistor?
 
Thread 'Correct statement about size of wire to produce larger extension'

Thread 'Correct statement about size of wire to produce larger extension'

The answer is (B) but I don't really understand why. Based on formula of Young Modulus: $$x=\frac{FL}{AE}$$ The second wire made of the same material so it means they have same Young Modulus. Larger extension means larger value of ##x## so to get larger value of ##x## we can increase ##F## and ##L## and decrease ##A## I am not sure whether there is change in ##F## for first and second wire so I will just assume ##F## does not change. It leaves (B) and (C) as possible options so why is (C)...
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