Linearize the system around the operating point

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Reference no: EM131360314

Consider the circuit in Figure 9.27. The voltage across the nonlinear resistor is related to the current through it as

1415_3e78c10b-fa9f-4225-8c36-0475ba321c8f.png

where I(t) is flowing to the right into the inductor. Assume that

770_21824b4c-46ee-41d8-b712-41b34256a32b.png

and the initial conditions are all zeros.

1. Write the nonlinear differential equation in I(t) for the system.

2. Linearize the system around the operating point.

1111_28e5de6a-6694-45d5-a224-fdd9b71afee1.png

 

Reference no: EM131360314

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