The values of the components in a simple series RC circuit containing a switch (

Question

The values of the components in a simple series RC circuit containing a switch (see figure below) are C = 1.00 F, R =

(a) the charge on the capacitor
q = C

(b) the current in the resistor
I = nA

(c) the rate at which energy is being stored in the capacitor
rate = nW

(d) the rate at which energy is being delivered by the battery
Pbattery = nW

The values of the components in a simple series RC circuit containing a switch (see figure below) are C = 1.00 F, R = 2.00 (a) the charge on the capacitor (b) the current in the resistor I = nA (c) the rate at which energy is being stored in the capacitor rate = nW (d) the rate at which energy is being delivered by the battery Pbattery = nW e m f = 10.0 V. At the instant 18.2 s after the switch is closed, calculate the following.

Explanation / Answer

a)

Charge on the capacitor is

q = C V = (1.00*10^ -6 F) (10.0 V) = 1*10^ -5 C

b)

Current in the resistor is,

I = V / R = (10.0 V) / (2.0*10^6 ohm) = 5*10^-6 A = 5 micro A

c)

Energy stored in the capacitor

E = ( 1/ 2) C V^2 = ( 0.5)  (1.00*10^ -6 F) (10.0 V)^2 = 5*10^-5 J = 50 micro J

energy stored per sec in the capacitor is

P_C = 50000 nW

d)

Power delivered by the battery

P =IV = (5 *10^-6 A)(10 V) = 50 *10^ -6 W = 50000 nW

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