A switch is closed at t = 0 with the capaci- tor uncharged. A) Find the charge o

Question

A switch is closed at t = 0 with the capaci- tor uncharged. A) Find the charge on the capacitor at 2.59 s . Answer in units of ?C. B) Find the current in the resistor at 2.59 s . Answer in units of ?A. C) At 2.59 s the current in the resistor is I (Part 2) and the charge on the capacitor is q (Part 1).

What is the power delivered by the battery? Answer in units of ?W.

:44 AM quest.cns.utexas.edu o0O AT&T; LTE * 15%) s closed att-0 with the d. 1.7 F 6.4 V harge on the capacitor at units of C.

Explanation / Answer

HERE

time constant of RC ckt T = RC

T = 2.3 e 6 * 1.7 e -6

T = 3.91 secs

charge Q = Qmax(1-e^-t/T)

max charge Qmax = CV

Qmax = 1.7e -6 * 6.4

Qmax = 10.88 uC

at time t = 2.59 secs

Charge Q = (10.88 uC)* (1 - e^(-2.59/3.91)

Q = 5.27 uC (answer)

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

I = Io e^-t/T

Io = V/R = 6.4/2.3 e 6

Io = 2.78 uA

so

at t = 2.59 secs

I = 2.78 uA *e^-2.59/3.91)

I = 1.433 uA (answer)

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

Power P = Vi

at t = 2.59s

P = 6.4 * 1.433 *10^-6

P = 9.17 uWatts (answer)

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