Exercise 5.2.6AboutL00t (s)-2-4024The voltage v(t) across a 20HF capacitor is given by the waveform shown in the figure above.(a)Determine and plot the corresponding current i(t)(b)Specify the time interval(s) during which power transfers into the capacitor and that (those) during which it transfersout of the capacitor.(c)At what instant in time is the power transfer into the capacitor a maximum? And at what instant is the power transferout of the capacitor a maximum?(d)What is the maximum amount of energy stored in the capacitor, and when does it occur?

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Asked Oct 17, 2019
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Please answer (b)-(d) NOT A

 

Exercise 5.2.6
About
L00
t (s)
-2
-4
0
2
4
The voltage v(t) across a 20HF capacitor is given by the waveform shown in the figure above.
(a)
Determine and plot the corresponding current i(t)
(b)
Specify the time interval(s) during which power transfers into the capacitor and that (those) during which it transfers
out of the capacitor.
(c)
At what instant in time is the power transfer into the capacitor a maximum? And at what instant is the power transfer
out of the capacitor a maximum?
(d)
What is the maximum amount of energy stored in the capacitor, and when does it occur?
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Exercise 5.2.6 About L00 t (s) -2 -4 0 2 4 The voltage v(t) across a 20HF capacitor is given by the waveform shown in the figure above. (a) Determine and plot the corresponding current i(t) (b) Specify the time interval(s) during which power transfers into the capacitor and that (those) during which it transfers out of the capacitor. (c) At what instant in time is the power transfer into the capacitor a maximum? And at what instant is the power transfer out of the capacitor a maximum? (d) What is the maximum amount of energy stored in the capacitor, and when does it occur?

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Step 1

The maximum energy stored in the capacitor, the time interval of power transferred to the capacitor, power out from the capacitor, maximum power to the capacitor and out of the capacitor has to be determined when following voltage waveform is applied to the capacitor with C = 20 µF

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100 -4 -2 0 2 4

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Step 2

Current waveform from part (a):

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it)=Ca(v) ()p it) 1mA 4 2 0 t (s) -4 -2 -l mA-

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Step 3

The power can be calculated be the formula:

P(t) = v(t)×i(...

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P t) .0.1 W 2 0 -4 -2 -0.1 W

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