Suppose that at t = 0, we connect an uncharged 10 { μ F capacitor to a charging circuit consisting of a 2500-V voltage source in series with a 2 { M Ω resistance. At t = 40 s, the capacitor is disconnected from the charging circuit and connected in parallel with a 5 { M Ω resistor. Determine the voltage across the capacitor at t = 40 s and at t = 100 s. ( Hint: You may find it convenient to redefine the time variable to be t’ = t -40 for the discharge interval so that the discharge starts at t’ = 0.)
Suppose that at t = 0, we connect an uncharged 10 { μ F capacitor to a charging circuit consisting of a 2500-V voltage source in series with a 2 { M Ω resistance. At t = 40 s, the capacitor is disconnected from the charging circuit and connected in parallel with a 5 { M Ω resistor. Determine the voltage across the capacitor at t = 40 s and at t = 100 s. ( Hint: You may find it convenient to redefine the time variable to be t’ = t -40 for the discharge interval so that the discharge starts at t’ = 0.)
Suppose that at t= 0, we connect an uncharged 10
{
μ
F
capacitor to a charging circuit consisting of a 2500-V voltage source in series with a 2
{
M
Ω
resistance. At t= 40 s, the capacitor is disconnected from the charging circuit and connected in parallel with a 5
{
M
Ω
resistor. Determine the voltage across the capacitor at t =40 s and at t= 100 s. (Hint: You may find it convenient to redefine the time variable to be t’ = t-40 for the discharge interval so that the discharge starts at t’ = 0.)
B. A parallel-plate capacitor is constructed from two metal dics of radius 1
cm with a gap 0.05 cm thick filled with mica.
a) What is the capacitance?
b) What is the charge of this capacitor after being connected to a 100-
V battery?
The following figure represents an RC-Circuit with the switch. In Figure A, the
capacitor is initially uncharged. In Figure B, the capacitor is initially fully charged.
1) Draw and label the current direction immediately after the switch is closed for each
figure.
2) Consider Figure A. What is the voltage across the capacitor as t → 0? Explain.
3) Consider Figure B. Is the voltage across the resistor increasing, decreasing or
staying the same as t → 0? Explain.
A)
B)
R
C
A capacitor is rated at 1000uF of capacitance. Ifits minimum value is 850uF, what is its maximumallowable value assuming it has a 15% tolerance?
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