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) = 36t5 + 10t4-12 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) =
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) = 36t5 + 10t4-12 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) =
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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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) = fi(t) dt,
where i (t) = 36t5 + 10+4 -12 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)
=
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