In Exercises 3538, consider a series circuit (Figure 4) consisting of a resistor of R
Chapter 9, Problem 36(choose chapter or problem)
In Exercises 3538, consider a series circuit (Figure 4) consisting of a resistor of R ohms, an inductor of L henries, and a variable voltage source of V (t) volts (time t in seconds). The current through the circuit I (t) (in amperes) satisfies the differential equation dI dt + R L I = 1 LV (t) Assume that R = 110 ohms, L = 10 henries, and V (t) = et volts. (a) Solve Eq. (9) with initial condition I (0) = 0. (b) Calculate tm and I (tm), where tm is the time at which I (t) has a maximum value. (c) Use a computer algebra system to sketch the graph of the solution for 0 t 3.
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