Suppose the circuit described by Eq. (9) is driven by a sinusoidal voltage source V(t) = V

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Suppose the circuit described by Eq. (9) is driven by a sinusoidal voltage source V(t) = V sinωt (where V and ω are constant).

dl + dt L R -I = -V (1) L

(a) Show that

I(t) = V R + Lw (R sin wt - Lw cos wt) + Ce-(R/L)t (b) Let Z = R + Lw. Choose so that Z cos 0 = R and Z sin 0

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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