When the circuit in Figure 6 (which consists of a battery of V volts, a resistor of

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When the circuit in Figure 6 (which consists of a battery of V volts, a resistor of R ohms, and an inductor of L henries) is connected, the current I(t) flowing in the circuit satisfies

dI L+RI = V dt

with the initial condition I(0) = 0.

(a) Find a formula for I(t) in terms of L, V, and R. (b) Show that lim I(t) = V/R. 1-00 (c) Show that I (t)

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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