X3-REDO2: RC CIRCUIT REDUX. You have the following RC Circuit: R = 2 m2 W- Vp = 12 V R2 Initially, the switch is closed, and the capacitor charges until it reaches equilibrium. (A) If the time it takes to charge the capacitor to 50% is 2 ms, what is the capacitance, C? (B) What is the maximum charge on the capacitor after charging for a long time (in equilibrium)? (C) Plot the charge on the capacitor as a function of time. Make sure to include the important time scales for the process on the plot. (D) Find an expression for the ENERGY stored in the capacitor as a function of time as the capacitor charges. R = 2 m2 -W- Vb = 12 V R2 Next, the switch is moved, and the capacitor discharges. (E) When the current is first closed, the capacitor discharges to 10% of its initial value in 50 ms. What is the resistance of R2? (F) When the switch is first closed, what is the current in the system? (G) What is the total energy dissipated by the resistors? (HINT: You do not need to calculate directly. You can use logic.)

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X3-REDO2: RC CIRCUIT REDUX. You have the following RC Circuit:
R = 2 m2
W-
Vp = 12 V
R2
Initially, the switch is closed, and the capacitor charges until it reaches equilibrium.
(A) If the time it takes to charge the capacitor to 50% is 2 ms, what is the capacitance, C?
(B) What is the maximum charge on the capacitor after charging for a long time (in
equilibrium)?
(C) Plot the charge on the capacitor as a function of time. Make sure to include the important
time scales for the process on the plot.
(D) Find an expression for the ENERGY stored in the capacitor as a function of time as the
capacitor charges.
R = 2 m2
-W-
Vb = 12 V
R2
Next, the switch is moved, and the capacitor discharges.
(E) When the current is first closed, the capacitor discharges to 10% of its initial value in 50 ms.
What is the resistance of R2?
(F) When the switch is first closed, what is the current in the system?
(G) What is the total energy dissipated by the resistors? (HINT: You do not need to calculate
directly. You can use logic.)
Transcribed Image Text:X3-REDO2: RC CIRCUIT REDUX. You have the following RC Circuit: R = 2 m2 W- Vp = 12 V R2 Initially, the switch is closed, and the capacitor charges until it reaches equilibrium. (A) If the time it takes to charge the capacitor to 50% is 2 ms, what is the capacitance, C? (B) What is the maximum charge on the capacitor after charging for a long time (in equilibrium)? (C) Plot the charge on the capacitor as a function of time. Make sure to include the important time scales for the process on the plot. (D) Find an expression for the ENERGY stored in the capacitor as a function of time as the capacitor charges. R = 2 m2 -W- Vb = 12 V R2 Next, the switch is moved, and the capacitor discharges. (E) When the current is first closed, the capacitor discharges to 10% of its initial value in 50 ms. What is the resistance of R2? (F) When the switch is first closed, what is the current in the system? (G) What is the total energy dissipated by the resistors? (HINT: You do not need to calculate directly. You can use logic.)
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