The resistance of the device D in Figure P3.80 is a non-linear function of pressure P. The i -v characteristics of D are shown as a family of curves for various pressures.

Assume:

VS = 2.5V R = 125?



a. Plot the DC load line.

b. Plot the voltage across D as a function of pressure.

c. Determine the current through D when P = 30 psig.



Find:

The DC load line, the voltage across the device as a function of pressure, and the current through the nonlinear device when P = 30 psig.


Analysis:

Circuit characteristic [DC load line]:



The circuit characteristic is a linear relation. Plot the two intercepts and connect with a straight line to plot the DC load line. Solutions are at the intersections of the circuit with the device characteristics, i.e.:



The function is nonlinear. Reading from where the load line crosses the P = 30 psig:

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