Applications and ExamplesCurrent in an RL -circuit The

Chapter 9, Problem 19E

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Problem 19E

Applications and Examples

Current in an RL -circuit The accompanying diagram represents an electrical circuit whose total resistance is a constant R ohms and whose self-inductance, shown as a coil, is L henries, also a constant. There is a switch whose terminals at a and b can be closed to connect a constant electrical source of V volts. From Section 9.2, we have

where i is the current in amperes and t is the time in seconds.

Use a phase line analysis to sketch the solution curve assuming that the switch in the RL-circuit is closed at time t = 0.What happens to the current as ?This value is called the steady-state solution

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