(a) In Figure Q.3(a), the switch has been in position "a" for a long time, and it is switched to "b" at 1 = 0 s. ve(t) is the voltage across the capacitor, C, and vo(t) is the voltage across Ro. (i) Determine ve(0') and ve(0'). (ii) If it is desired that vo(0) = 20 V, what should be the suitable value of R,? With the value of Ro as in (ii), determine the expression of ve(t) for t>0s in terms of C, and hence determine C so that ve = 0 V when t = 4.64 ms (iii) (i.e., ve (0.00464) = 0 V). Using R, as in (ii), obtained the expression of vo(t) for t> 0 and determine the value of vo (1) when t = 4.64 ms. (iv) 6 Q 10 2 2Ω 15 V C R. Vo (t) Ve (1) $7.5 2 24 V Figure Q.3(a)

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter19: Capacitors
Section: Chapter Questions
Problem 2PA: You are an electrician working in an industrial plant. You discover that the problem with a certain...
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(a)
In Figure Q.3(a), the switch has been in position "a" for a long time, and it is
switched to "b" at 1 = 0 s. ve(t) is the voltage across the capacitor, C, and vo(t) is
the voltage across Ro.
(i)
Determine ve(0') and ve(0').
(ii)
If it is desired that vo(0) = 20 V, what should be the suitable value of R,?
With the value of R, as in (ii), determine the expression of ve(t) for t>0 s
in terms of C, and hence determine C so that ve = 0 V when t = 4.64 ms
(iii)
(i.e., ve (0.00464) = 0 V).
Using R, as in (ii), obtained the expression of vo(t) for t> 0 and
determine the value of vo (1) when t = 4.64 ms.
(iv)
6 Q
10 2
2Ω
15 V
C
R.
Vo (1)
Ve (1)
37.5 2
24 V
Figure Q.3(a)
Transcribed Image Text:(a) In Figure Q.3(a), the switch has been in position "a" for a long time, and it is switched to "b" at 1 = 0 s. ve(t) is the voltage across the capacitor, C, and vo(t) is the voltage across Ro. (i) Determine ve(0') and ve(0'). (ii) If it is desired that vo(0) = 20 V, what should be the suitable value of R,? With the value of R, as in (ii), determine the expression of ve(t) for t>0 s in terms of C, and hence determine C so that ve = 0 V when t = 4.64 ms (iii) (i.e., ve (0.00464) = 0 V). Using R, as in (ii), obtained the expression of vo(t) for t> 0 and determine the value of vo (1) when t = 4.64 ms. (iv) 6 Q 10 2 2Ω 15 V C R. Vo (1) Ve (1) 37.5 2 24 V Figure Q.3(a)
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