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Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to attach the start capacitor to the ship in a simple RC-circuit. Your computer warns you that some adjustments may need to be made if the heat generated in the resistor over the initial time interval is higher than a given threshold. Your computer is able to provide the following information, along with a note that the units are already accounted for in the equations: V.² R Heat Generated in Resistor over the first 2 seconds: Q -Se-2t/(RC) dt joules = Voltage of the Battery: V = 4 volts Resistance: R = 4 ohms Capacitance: C 1 farads Maximum Heat Allowed in Resistor: 2max=2 joules

Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to attach the start capacitor to the ship in a simple RC-circuit. Your computer warns you that some adjustments may need to be made if the heat generated in the resistor over the initial time interval is higher than a given threshold. Your computer is able to provide the following information, along with a note that the units are already accounted for in the equations: V.² R Heat Generated in Resistor over the first 2 seconds: Q -Se-2t/(RC) dt joules = Voltage of the Battery: V = 4 volts Resistance: R = 4 ohms Capacitance: C 1 farads Maximum Heat Allowed in Resistor: 2max=2 joules

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Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to attach the start capacitor to the ship in a simple RC-circuit. Your computer warns you that some adjustments may need to be made if the heat generated in the resistor over the initial time interval is higher than a given threshold. Your computer is able to provide the following information, along with a note that the units are already accounted for in the equations: -Se-2t/(RC) de joules Heat Generated in Resistor over the first 2 seconds: Q = Voltage of the Battery: V = 4 volts Resistance: R = 4 ohms Capacitance: C = farads Maximum Heat Allowed in Resistor: max=2 joules Is the heat generated in the resistor over the first 2 seconds below the maximum allowable threshold? Yes No V.² R What is the difference between the maximum threshold (provided above by your computer) and the amount of heat generated in the resistor (that you calculated)? Provide a positive value up to three decimal places. Number joules
Transcribed Image Text:Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to attach the start capacitor to the ship in a simple RC-circuit. Your computer warns you that some adjustments may need to be made if the heat generated in the resistor over the initial time interval is higher than a given threshold. Your computer is able to provide the following information, along with a note that the units are already accounted for in the equations: -Se-2t/(RC) de joules Heat Generated in Resistor over the first 2 seconds: Q = Voltage of the Battery: V = 4 volts Resistance: R = 4 ohms Capacitance: C = farads Maximum Heat Allowed in Resistor: max=2 joules Is the heat generated in the resistor over the first 2 seconds below the maximum allowable threshold? Yes No V.² R What is the difference between the maximum threshold (provided above by your computer) and the amount of heat generated in the resistor (that you calculated)? Provide a positive value up to three decimal places. Number joules
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