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
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Chapter1: Functions And Models
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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
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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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.
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.
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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.
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.
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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.
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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