Suppose that in the simple circuit of Figure 9 the resistance is 12, the inductance is 4

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Suppose that in the simple circuit of Figure 9 the resistance is 12Ω, the inductance is 4 H, and a battery gives a constant voltage of 60 V.

(a) Draw a direction field for Equation 1 with these values. 

(b) What can you say about the limiting value of the current? 

(c) Identify any equilibrium solutions. 

(d) If the switch is closed when t = 0 so the current starts with I(0) = 0, use the direction field to sketch the solution curve.


Figure 9

E R switch L

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Calculus

ISBN: 9780495011606

6th Edition

Authors: James Stewart

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