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 ½F, R = 2.00 a) the charge on the capacitor q = ½C (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 varepsilon = 10.0 V.At the instant 18.2 s after the switch is closed, calculate the following. 106 ?, and

Explanation / Answer

initail charge on the Capacitor is Qi = CV

Qi = 1e-6 * 10

Qi = 10uC

time constant T = RC

T = 1e-6 * 2e6

T = 2 secs

Charge after 18.2 secs

Qf = Qi (1-e^-t/RC)

Qf = 10uC *(1-e^-18.2/2)

Qf = 9.99 uC

-------------------------

apply Current i = V/R

i = 10/2e6

i = 5 uA

If = Io(e^-t/RC)

If = 5uA e^(-18.2/2)

If = 0.558 nA

--------------------------

Power P = 5.58 nW

-------------------------------

Power P = Vi

P = 10 * 0.558 e-9

P = 5.58 nW

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