Electric Circuits An electric circuit contains a battery that produces a voltage of 60 volts (V), a resistor with a resis- tance of 13 ohms (2), and an inductor with an inductance of 5 henrys (H), as shown in the figure on the following page. Using calculus, it can be shown that the current I = 1(t) (in amperes, A) t seconds after the switch is closed is I = (1 – e-131/5). (a) Use this equation to express the time t as a function of the current I. (b) After how many seconds is the current 2 A? 13 N ww. (60 V) 5 H Switch

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Chapter1: Units, Trigonometry. And Vectors
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Electric Circuits An electric circuit contains a battery that
produces a voltage of 60 volts (V), a resistor with a resis-
tance of 13 ohms (2), and an inductor with an inductance
of 5 henrys (H), as shown in the figure on the following
page. Using calculus, it can be shown that the current
I = 1(t) (in amperes, A) t seconds after the switch is closed
is I = (1 – e-131/5).
(a) Use this equation to express the time t as a function of
the current I.
(b) After how many seconds is the current 2 A?
13 N
ww.
(60 V)
5 H
Switch
Transcribed Image Text:Electric Circuits An electric circuit contains a battery that produces a voltage of 60 volts (V), a resistor with a resis- tance of 13 ohms (2), and an inductor with an inductance of 5 henrys (H), as shown in the figure on the following page. Using calculus, it can be shown that the current I = 1(t) (in amperes, A) t seconds after the switch is closed is I = (1 – e-131/5). (a) Use this equation to express the time t as a function of the current I. (b) After how many seconds is the current 2 A? 13 N ww. (60 V) 5 H Switch
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