A circuit contains a 6.0-V battery,a 4.0-W resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed?
A)zero
B)0.10 mC
C)3.6 mC
D)2.4 mC

Question

A circuit contains a 6.0-V battery,a 4.0-W resistor,a 0.60-µF capacitor,an ammeter,and a switch in series.What will be the charge on the capacitor 10 min after the switch is closed? 
A)zero 
B)0.10 mC 
C)3.6 mC 
D)2.4 mC

Quizplus · Accepted Answer

After the switch is closed, the capacitor will charge up to its maximum capacity. The time taken to charge the capacitor depends on both the capacity of the capacitor and the resistance of the circuit (in this case, the 4.0-W resistor). Using the formula for the time constant of an RC circuit, we have:

t = RC
t = (0.60 µF) x (4.0 W)
t = 2.4 ms

After 10 minutes (or 600,000 ms), the capacitor will be effectively fully charged. The charge on the capacitor is given by:

Q = CV
Q = (0.60 µF) x (6.0 V)
Q = 3.6 µC
Q = 3.6 x 10^-3 mC (milliCoulombs)

Therefore, the correct answer is C.

A Circuit Contains a 6