Charging the Capacitor Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, q (t). These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following definitions: Charge: The charge as a function of time is q(t) = f i(t) dt, where i (t) = 24t5 + 16t³ - 10 is the current as a function of time. You need to provide the computer with the function q (t) in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance.
Charging the Capacitor Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a "start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by the fixed capacitance and charge as a function of time, q (t). These capacitors are charged and stored in your current location and must be brought to the spacecraft. Your computer provides you with the following definitions: Charge: The charge as a function of time is q(t) = f i(t) dt, where i (t) = 24t5 + 16t³ - 10 is the current as a function of time. You need to provide the computer with the function q (t) in order for it to appropriately charge the start capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as the lowercase is used for capacitance.
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 30E: The table shows the mid-year populations (in millions) of five countries in 2015 and the projected...
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![Charging the Capacitor
Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a
"start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by
the fixed capacitance and charge as a function of time, q (t). These capacitors are charged and stored in your
current location and must be brought to the spacecraft. Your computer provides you with the following
definitions:
Charge: The charge as a function of time is q(t) = f i(t) dt,
where i (t) = 24t5 + 16+³ – 10 is the current as a function of time.
You need to provide the computer with the function q (t) in order for it to appropriately charge the start
capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as
the lowercase is used for capacitance.
q (t) =
=
ab
sin (a)
∞
a
B
Aw](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F28e7be30-eca9-4147-a850-5833b744a665%2F2ff6f084-ad77-4ab6-8439-07932593d5bf%2Fmu9e4h4_processed.png&w=3840&q=75)
Transcribed Image Text:Charging the Capacitor
Having stabilized the fuel, you look to your computer for next steps. You are told that the spacecraft uses a
"start capacitor" that must reach a required voltage in order to start its engine. This voltage is determined by
the fixed capacitance and charge as a function of time, q (t). These capacitors are charged and stored in your
current location and must be brought to the spacecraft. Your computer provides you with the following
definitions:
Charge: The charge as a function of time is q(t) = f i(t) dt,
where i (t) = 24t5 + 16+³ – 10 is the current as a function of time.
You need to provide the computer with the function q (t) in order for it to appropriately charge the start
capacitor. If an unknown constant is needed, it can be included using "+ C", being sure to use a capital letter as
the lowercase is used for capacitance.
q (t) =
=
ab
sin (a)
∞
a
B
Aw
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