Linear approximation of a nonlinear component.

by peripatein
Tags: approximation, component, linear, nonlinear
peripatein is offline
Jul18-13, 11:59 AM
P: 816
I am trying to find the effective resistance of the NLR in the attachment (to the first order). It is given that IL = gVL2 + I0. I understand that this is normally achieved via ∂g/∂V at V=V0, but when I do so I get that R should be 1/(2gV0), 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 V0 and then substitute it in 1/(2gV0)? But then, for my solution to be the same as that in the attachment, won't V0 have to be 1? I'd sincerely appreciate some guidance.
Attached Thumbnails
Phys.Org News Partner Engineering news on
SensaBubble: It's a bubble, but not as we know it (w/ video)
WSU innovation improves drowsy driver detection
Faster computation of electromagnetic interference on an electronic circuit board
NascentOxygen is offline
Jul19-13, 09:01 AM
HW Helper
P: 4,716
Your equation indicates that the coefficient g has units of amps per volt2
The reciprocal of this must have units of volt2 per ampere. This is not Ohms, nor Ohms-1.

Therefore, the text book answer cannot be correct.

Register to reply

Related Discussions
Linear & nonlinear shooting and linear & nonlinear finite difference methods Calculus & Beyond Homework 0
ODE (linear vs. nonlinear) Calculus & Beyond Homework 1
Linear vs Nonlinear Calculus & Beyond Homework 1
Radial component of linear acceleration Introductory Physics Homework 6
Linear Approximation Introductory Physics Homework 3