midtermtest1_page 16

midtermtest1_page 16 - be labelled with a numerical value...

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16. The circuit below begins with the switch in the open position and the capacitor carrying zero charge. The battery has V B = 10 V , the resistor has R = 5 k Ω, and the capacitor has C = 12 μF . At time=0, the switch in the circuit is closed. (a) Determine the time constant of this circuit. (b) Draw sketches of the time dependence of each of the following: i. The voltage on the capacitor as a function of time, V C ( t ). ii. The charge on the capacitor as a function of time, Q C ( t ). iii. The voltage on the resistor as a function of time, V R ( t ). iv. The current through the resistor as a function of time. To be counter for full credit the vertical axis of each sketch should
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Unformatted text preview: be labelled with a numerical value indicating either the initial or asymptotic value of the quantity plotted. (c) Write an equation for each of the following: i. The voltage on the capacitor as a function of time, V C ( t ). ii. The charge on the capacitor as a function of time, Q C ( t ). iii. The voltage on the resistor as a function of time, V R ( t ). iv. The current through the resistor as a function of time. (d) At what time does the voltage on the capacitor reach 3 V? 16...
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