The device D in the circuit in Figure P3.78 is an induction motor with a non-linear i-v characteristic. Determine the current through and the voltage across the motor.



Find:



The current through and the voltage across the nonlinear device.


Analysis:



The I-V characteristic for the nonlinear device is given. Plot the circuit I-V characteristic, i.e., the DC load line.





The DC load line [circuit characteristic] is linear. Plotting the two intercepts above and connecting them with a straight line gives the DC load line. The solution for V and I is at the intersection of the device and circuit characteristics.



Reading from the graph:

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