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I am trying to find the effective resistance of the NLR in the attachment (to the first order). It is given that I_{L}= gV_{L}^{2}+ I_{0}. I understand that this is normally achieved via ∂g/∂V at V=V_{0}, but when I do so I get that R should be 1/(2gV_{0}), and not 1/2g as shown in the solution. Could anyone please explain to me what it is I am doing wrong? Ought I to first determine V_{0}and then substitute it in 1/(2gV_{0})? But then, for my solution to be the same as that in the attachment, won't V_{0}have to be 1? I'd sincerely appreciate some guidance.

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# Linear approximation of a nonlinear component.

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