Current in a RC Circuit 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 E(RC) I = R (a) If E = 120 volts, R = 2000 ohms, and C = 1.0 micro- farad, how much current I 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 1(1). %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Current in a RC Circuit 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
E(RC)
I =
R
(a) If E = 120 volts, R = 2000 ohms, and C = 1.0 micro-
farad, how much current I 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 1(1).
%3D
Transcribed Image Text:Current in a RC Circuit 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 E(RC) I = R (a) If E = 120 volts, R = 2000 ohms, and C = 1.0 micro- farad, how much current I 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 1(1). %3D
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