What is the equivalent resistor seen from two terminals on the left?

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SUMMARY

The discussion focuses on calculating the equivalent resistor seen from two terminals in a circuit involving resistors R1 (1K Ohm) and R2 (50K Ohm), along with a transconductance value of gM (100mA/V). The user attempted to apply circuit analysis techniques, specifically using a test voltage source, but encountered difficulties due to the presence of two variables in the equivalent resistor equation. The conversation emphasizes the importance of applying Ohm's law and node equations to solve for the equivalent resistance accurately.

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Homework Statement


R1 = 1K Ohm
R2= 50K Ohm
gM = 100mA/V

I should find the equivalent resistor seen from the two terminals on the left


Homework Equations



Nodes equations, Ohm's law.

The Attempt at a Solution



So, I started by putting a test voltage source on the left but I end up with 2 variables on the equivalent resistor equation that I can't be able to solve.
I did Circuit analysis last year, which I passed but now I'm a bit rusty with this. Anyone can help me?
 

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Can you show what you've tried? Show your equations.
 

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