The equation governing the amount of current I (in amperes) after time t (in microseconds) in a

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The equation governing the amount of current I (in amperes) after time t (in microseconds) in a single RC circuit consisting of a resistance R (in ohms), a capacitance C (in microfarads), and an electromotive force E (in volts) is

E4/(RC) I = C:


(a) If E = 120 volts, R = 2000 ohms, and C = 1.0 micro farad, how much current I1 is flowing initially (t = 0)? After 1000 microseconds? After 3000 microseconds?

(b) What is the maximum current?

(c) Graph the function I = I1(t), measuring I along the y-axis and t along the x-axis.

(d) If E = 120 volts, R = 1000 ohms, and C = 2.0 micro-farads, how much current I2 is flowing initially? After 1000 microseconds? After 3000 microseconds?

(e) What is the maximum current?

(f) Graph the function I = I2(t) on the same coordinate axes as I1(t).

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Precalculus

ISBN: 978-0321716835

9th edition

Authors: Michael Sullivan

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