Dependent sources - can the gain (g) be negative?

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SUMMARY

The discussion centers on the concept of negative gain (k) in dependent sources, specifically in the context of electrical engineering. The formula for dependent voltage sources is defined as V = g * V0, with the user calculating k as k = V/Va, resulting in a negative value of -5. The conversation confirms that negative gain is indeed possible, exemplified by the inverting amplifier equation Vo = -K * Vin, where a gain of K = 5 and an input voltage of Vin = 2 yields an output voltage of Vo = -10.

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lillybeans
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So the goal in this case is to find k, the gain of the dependent source shown as a diamond.

Formula for dependent voltage sources:
V=g*V0

In this case
V=k*Va

I would get a negative value for k, because k=V/Va=-10V/(0.2A*10Ω)=-5

But can you have a negative value for k? Is that possible? Or did I get the signs wrong?

Thanks in advance.
 
Last edited:
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Sure you can have negative gain.

Vo= -K * Vin

implies an inverting amplifier with gain = K

If K = 5 and Vin= 2 then Vo = -10
 

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