Consider a series circuit (Figure 4) consisting of a resistor of R ohms, an inductor of L

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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 R + - -I dt L V(t) R -V(t) L

Solve Eq. (9) with initial condition I(0) = 0, assuming that R = 100 ohms (Ω), L = 5 henries (H), and V(t) is constant with V(t) = 10 volts (V).

IP = I=+ dt R 1 = -V(t) L L

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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