Consider the circuit shown in Figure P4.18. Prior to t =

Chapter 4, Problem P4.18

(choose chapter or problem)

Consider the circuit shown in Figure P4.18. Prior to t = 0, v1 = 100 V and v2 = 0. a.Immediately after the switch is closed, what is the value of the current [i.e., what is the value of i(0+)]? b. Write the KVL equation for the circuit in terms of the current and initial voltages. Take the derivative to obtain a differential equation. c. What is the value of the time constant in this circuit? d. Find an expression for the current as a function of time. e. Find the value that v2 approaches as t becomes very large. C1 1 mF C2 1 mF t = 0 R = 100 k v1 + v2 + i(t) Figure P4.18

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