Use this simple series circuit for the first five questions. t-0 R-5000 c- 1000

Question

Use this simple series circuit for the first five questions. t-0 R-5000 c- 1000 1) At time t = o the switch is closed. At that time the current in the circuit will equal Vc a. zero. o.o0083 A or o.83 c. o.oo1o A or 1.o mA o.oo50 A or 5.0 mA d. 2) At time t - o, just as the switch is closed, the voltage across the capacitor, V, will equal a. zero. b. 3.15 V. C.5.0 V 3) At what time will the voltage across the capacitor, Vc, equal 3.15 V (which is 63% of 5,0 V, by the way)? At a time equal to about a. - that will never happen, the resistance is so high that the voltage on the capacitor cannot reach that voltage. b. zero, immediately. c. 5 seconds. d. 6.3 seconds. 4) After a few minutes, the current in the circuit will equal a. zero. b. o.o0083 A or o.83 mA c. o.oo1o A or 1.o mA d. o.oo5o A or 5.0 mA

Explanation / Answer

Q.1

I= I0 e^ ( -t/RC)

I = 5/ (5000) e^0 = 0.001A (option C)

Q.2 :at t =0, Vc = 0 ( as capacitor is no offering no resistanc ein begining)

Q:3 Vc= Vs ( 1-e^-t/RC)

0.63 = ( 1- e^-t/5)

0.37 = e^( -t/5)

0.99= t/5

t = 5 seconds apprx

Q. 0 ( as capacitor will block the flow of current)

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