119. Current in an RL Circuit The equation governing the amount of current I (in amperes) after time t (in seconds) in a single RL circuit consisting of a resistance R (in ohms), an inductance L (in henrys), and an electromotive force E (in voles) is I = E R [ 1 − e − ( R / L ) t ] (a) If E = 120 volts, R = 10 ohms, and L = 5 henrys, how much current I 1 is flowing after 0.3 second? After 0.5 second? After 1 second? (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 = 5 ohms, and L = 10 henrys, how much current I 2 is flowing after 0.3 second? After 0.5 second? After 1 second? (e) What is the maximum current? (f) Graph the function I = I 2 ( t ) on the same coordinate axes as I 1 ( t ) .
119. Current in an RL Circuit The equation governing the amount of current I (in amperes) after time t (in seconds) in a single RL circuit consisting of a resistance R (in ohms), an inductance L (in henrys), and an electromotive force E (in voles) is I = E R [ 1 − e − ( R / L ) t ] (a) If E = 120 volts, R = 10 ohms, and L = 5 henrys, how much current I 1 is flowing after 0.3 second? After 0.5 second? After 1 second? (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 = 5 ohms, and L = 10 henrys, how much current I 2 is flowing after 0.3 second? After 0.5 second? After 1 second? (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 0.3 second, 7.5855, and 10.3760, respectively, when time approaches infinity.
119. Current in an RL Circuit The equation governing the amount of current I (in amperes) after time t (in seconds) in a single RL circuit consisting of a resistance R (in ohms), an inductance L (in henrys), and an electromotive force E (in voles) is
(a) If
volts,
ohms, and
henrys, how much current I1 is flowing after 0.3 second? After 0.5 second? After 1 second?
(b) What is the maximum current?
(c) Graph this function
(t), measuring I along the
and t along the
.
(d) If
volts,
ohms, and
henrys, how much current I2 is flowing after 0.3 second? After 0.5 second? After 1 second?
(e) What is the maximum current?
(f) Graph the function
on the same coordinate axes as
.
Only 100% sure experts solve it correct complete solutions ok
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
sy = f(x)
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3
4
5
7
8
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The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
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