120. Current in an RC Circuit The equation governing the amount of current I (in amperes) after lime 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 I = E R e − t / ( R C ) (a) If E = 120 volts, R = 2000 ohms, and C = 1.0 microfarad, how much current I 1 is flowing initially ( t = 0 )? After 1000 microseconds? After 3000 microseconds? (b) What is the maximum current? (c) Graph this function I = I 1 (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 microfarads, how much current I 2 is flowing initially? After 1000 microseconds? After 3000 microseconds? (e) What is the maximum current? (f) Graph the function I = I 2 ( t ) on the same coordinate axes as I 1 ( t ) .
120. Current in an RC Circuit The equation governing the amount of current I (in amperes) after lime 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 I = E R e − t / ( R C ) (a) If E = 120 volts, R = 2000 ohms, and C = 1.0 microfarad, how much current I 1 is flowing initially ( t = 0 )? After 1000 microseconds? After 3000 microseconds? (b) What is the maximum current? (c) Graph this function I = I 1 (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 microfarads, how much current I 2 is flowing initially? After 1000 microseconds? After 3000 microseconds? (e) What is the maximum current? (f) Graph the function I = I 2 ( t ) on the same coordinate axes as I 1 ( t ) .
Solution Summary: The author calculates how much current I 1 is flowing after 1000 microseconds, 0.0134, and 0.06 when time approaches zero.
120. Current in an RC Circuit The equation governing the amount of current I (in amperes) after lime 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
(a) If
volts,
ohms, and
microfarad, how much current I1 is flowing initially (
)? After 1000 microseconds? After 3000 microseconds?
(b) What is the maximum current?
(c) Graph this function
(t), measuring I along the
and t along the
.
(d) If
volts,
ohms, and
microfarads, how much current I2 is flowing initially? After 1000 microseconds? After 3000 microseconds?
(e) What is the maximum current?
(f) Graph the function
on the same coordinate axes as
.
I need help in ensuring that I explain it propleryy in the simplifest way as possible
I need help making sure that I explain this part accutartly.
Please help me with this question as I want to know how can I perform the partial fraction decompostion on this alebgric equation to find the time-domain of y(t)
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