a) The voltage, Vc in a capacitor is given by: Vc = 1/1(t)dt where C is the capacitance in Farads (F), the current I(t) is in Amperes (Amps) and t is time in seconds. i) integration. Find a general expression for the voltage in a capacitor, with capacitance 5 F given the current in the circuit I(t) = 3t A. Use C, as a constant of
a) The voltage, Vc in a capacitor is given by: Vc = 1/1(t)dt where C is the capacitance in Farads (F), the current I(t) is in Amperes (Amps) and t is time in seconds. i) integration. Find a general expression for the voltage in a capacitor, with capacitance 5 F given the current in the circuit I(t) = 3t A. Use C, as a constant of
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![a)
The voltage, Vc in a capacitor is given by:
Vc =
1(t)dt
where C is the capacitance in Farads (F), the current I(t) is in Amperes (Amps) and t
is time in seconds.
i)
integration.
Find a general expression for the voltage in a capacitor, with capacitance 5 F
given the current in the circuit I(t) = 3t A. Use C₁ as a constant of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F539a6763-4713-4bfa-959d-677fac7bd696%2Fa5683c2a-9360-4a0d-8a8f-fe4ca7c4f96f%2Fwd6dext_processed.png&w=3840&q=75)
Transcribed Image Text:a)
The voltage, Vc in a capacitor is given by:
Vc =
1(t)dt
where C is the capacitance in Farads (F), the current I(t) is in Amperes (Amps) and t
is time in seconds.
i)
integration.
Find a general expression for the voltage in a capacitor, with capacitance 5 F
given the current in the circuit I(t) = 3t A. Use C₁ as a constant of
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Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question
![iv)
v)
Calculate the voltage in the capacitor after 5 and 30 seconds.
Determine the rate of change of voltage over time of 5 and 30 seconds.](https://content.bartleby.com/qna-images/question/539a6763-4713-4bfa-959d-677fac7bd696/51a81a97-e2dd-4dab-854a-3a7ecd7b860d/p21nnpn_thumbnail.png)
Transcribed Image Text:iv)
v)
Calculate the voltage in the capacitor after 5 and 30 seconds.
Determine the rate of change of voltage over time of 5 and 30 seconds.
Solution
Follow-up Question
![ii)
If the initial charge in the capacitor is zero, determine a formula to calculate
the voltage.
iii)
Determine the time when the voltage is 30 Volts.](https://content.bartleby.com/qna-images/question/539a6763-4713-4bfa-959d-677fac7bd696/d80d6abd-de79-45c4-a3de-b11c19cc8028/xl2g3ip_thumbnail.png)
Transcribed Image Text:ii)
If the initial charge in the capacitor is zero, determine a formula to calculate
the voltage.
iii)
Determine the time when the voltage is 30 Volts.
Solution
Follow-up Question
![ii) If the initial charge in the capacitor is zero, determine a formula to calculate
the voltage.
iii)
Determine the time when the voltage is 30 Volts.](https://content.bartleby.com/qna-images/question/539a6763-4713-4bfa-959d-677fac7bd696/c362677c-37f0-4621-b1e4-c76dc83c5b06/yf6465_thumbnail.png)
Transcribed Image Text:ii) If the initial charge in the capacitor is zero, determine a formula to calculate
the voltage.
iii)
Determine the time when the voltage is 30 Volts.
Solution
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