Circuit Help 19. the the circuit as shown, C 6.00uF, E 100V, and R 5002. After h

Question

Circuit Help

19. the the circuit as shown, C 6.00uF, E 100V, and R 5002. After having been at contact a for a long time, the switch throw is rotated to contact b (a) What is the charge on the upper plate of the capacitor just as the switch throw is moved to contact b (b) What is the current just after the switch throw is rotated to contact b (c) What is the time constant of this circuit? (d How much charge is on the upper plate of the capacitor 6.00ms after the switch throw is rotated to contact b?

Explanation / Answer

a)
Charge= c*v
        =6*100
         =600 micro coulomb
b)
voltage across capacitor=100 V
Current = 100/R=100/500= 0.2 A

C)
time constant= RC=500 *6=3000 MICRO SECONDS
                       = 3 ms (milli seconds)

d)
use discahrging equation

Q=Qo*e^(-t/time constant)
=600*e^(-6/3)
=81.2 micro coulomb

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