Many practical circuit elements are non-linear; however, it is usually possible to linearize the V-I relationship near any specific point on the non-linear V-I curve. Such a point is often referred to as an operating point. In other words, in the vicinity of an operating point [V0, I0] the V-I relationship can be linearly approximated by:

I = mV +b where m = slope b = intercept



The inverse of the slope m at the operating point is defined as incremental resistance Rinc:



a. Refer to Figure P3.77 and find the operating point of the non-linear element.

b. Find the incremental resistance of the non-linear element at the operating point.

c. If VT is increased to 20V, what is the new operating point and the new incremental resistance?



Find:

a. The operating point of the element that has the characteristic curve shown in Figure P3.61.

b. The incremental resistance of the nonlinear element at the operating point of part a.

c. If were increased to 20 V, find the new operating point and the new incremental resistance.


Analysis:

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