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

Question

The values of the components in a simple series RC circuit containing a switch and an initially uncharged capacitor (see figure below) are C-1.30 R-1.40 Mn, and = 10.0 V (a) the charge on the capacitor... ...a long time after the switch is closed ...4.1 s after the switch is closed (b) the current in the resistor. ...lmmediately after the switch is closed lo - ...4.1 s after the switch is closed HA a long time after the switch is closed (c) The rate at which energy, 4.1 s after the swltch is closed, Is... being dissipated in the resistor HW

Explanation / Answer

form the given data

initially uncharged cpaacitor

C = 1.3 uF

R = 1.4 Mohm

V = 10 V

a. a lonf time after the switch is closrd, charge on capacitor will be

Qo = CV =13*10^-6 C

. after t = 4.1 s

Q = Qo(1 - e^-t/RC) = 11.633 *10^-6 C

b. current in resistor immidiatelty after the switch is closd

Io = V/R = 7.142 *10^-6 A

after 4.1 s

I = Io*e^(-t/RC) = 0.75 *10^-6 A

after a long time

I = 0 A

c. Power = (0.75*10^-6 )^2*1.4*10^6 = 7.889*10^-7 W = 78.89 u W

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