Unit 04-1 Lecture 1 - Given

# Unit 04-1 Lecture 1 - Given - The Exponential Function f(t...

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The Exponential Function f ( t ) = e t / called the time is called the time constant and is the time that it k f .6 0.8 1 1.2 f ( t ) 1 takes for e t to reach 1 e , because fee ()  1 . 0 0.2 0.4 0.6 012345 t f ( t ) 1 e 0 0 e 1 037 3 8 . . df e t  1 , so 1 1.2 f ( t ) 1 dt the slope of ft at t 0 is df   1 . 0.2 0.4 0.6 0.8 f ( t ) dt t 0 0 t 0 0 e dt ee e t t     0 0 0 ( ) .
80 100 120 (mA) 20 40 60 Current i 0 0 50 100 150 200 250 Time t (s) What is the approximate value of the time constant for this decay of electric current from a discharging capacitor in a simple RC circuit? A. 25 s. B. 35 s. C. 50 s. . 00 s. . 50 s. D. 100 s. E. 250 s. Approximately, what was the discharging capacitor’s initial charge at time t 0 ? A. 1.2 C. B. 3.0 C. C. 6.0 C. D. 12 C. E. 18 C.

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5 6 q q f 2 3 4 Charge Charging 0 1 0 50 100 150 200 250 Time t 0 0 The graph shows the electric charge on a charging capacitor in a simple RC circuit. At time t 2 , how much charge is on e capacitor? the capacitor?
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Unit 04-1 Lecture 1 - Given - The Exponential Function f(t...

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