(a) Just after the circuit is completed, what is the voltage drop across the cap

Question

(a) Just after the circuit is completed, what is the voltage drop across the capacitor?
V

(b) Just after the circuit is completed, what is the voltage drop across the resistor?
V

(c) Just after the circuit is completed, what is the charge on the capacitor?
C

(d) Just after the circuit is completed, what is the current through the resistor?
A

(e) A long time after the circuit is completed (after many time constants) what are the values of the quantities in parts (a) — (d)?

Explanation / Answer

part a )

capacitor act likes a straight wire so V = 0

part b )

Since no voltage drop occurs across the capacitor, all the voltage drops across the resistor V = 150 V

part c )

Voltage drop is zero

Q = CV = Q = 0

part d )

I = V/R = 150/7.3x10^3 = 0.0205 A

part e )

i ) after long time pass Vc = 150 V act like a big resistor

ii ) VR = Since all the voltage drops across the capacitor after a very long time, VR = 0 V

iii) q = CV = 4.10 x 10^-6 x 150 = 6.15 x 10^-4 C

iv ) I = capacitor acts line a break or a giant resistor, using ohm’s law with R = infinity, I = 0 A.

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