Question

Question 4: RC Circuit: a) Charging capaciter T Asimple RC circuit is given in F rea. The capacitiemy ally and with was open for a long time 4E (V) EMF is used to change the capacitors switch is diese s By Kirchho's voltage and Oh's law that you learned so far, analyze this could then given below O draw the equivalent and find LLLLL L 2) If you wait sufficiently long time, capaci ty and the equivalen t and find ( O )-0. 3) Now, in differential for the c h o s eFind theme dependent out for find capacit a cio n e s function of time Obtain soal current is a functio n s an d 4) Define the time of the charact ers ar e prape por as we have d inner. All you will be given to REC Note. Please see this question by yourself and do not copy the solution of others. Dublicate coples will be taken as cheating with the proof of solutions you provided. Selve each section carefully and explain your solutions in a legible English. Separate the solution of each section from others by drawing a line between them b) Discharging capacitores resistors Now your car is fully charged with charge.-C . Letsc h t we the witch as we have done in c e lectures Dew the vaccifist 1)Determine 2) As I write Kirchhoffs voltage low for the circa and in differential equation for capacitor charge 3) Solve this first onder differential and anime dependent equation for capacitor charge 4) Find capacitor current and capacito voltage 5) Define time constant for the discharging capac i te or different from the time constant you found in section (a)? Explain why is it came from? Fort.2, 3, 4, 5t, draw f otwents and St, on a graph paper as we have done in online lectures. Please study uploaded lectures carefully and we your textbook in mastering physics web (All your answers will be given in terms of give meters of R.E.C. adt)

Answer 1

Ri=2 Ro luo ¿=2Ro 3 (Eco). o too R, = 28. At tzo capacitor will act as short circuit Rega R II R₂ IM uto ER=22o Req = Ro iz 4€. ] R 2 Ro lea is a 20o NR = I, R, a 4€ VR a iz R = 4 to le = 4€

act will act capacitor as as open At to circuit te) : 2 -to , , ЧЕ у Ve, : 0 Vew) = ЧЕ, qto) : Фг. Е, со 3) using kong ЧЕ - +) в, го 4f, - , се е - а) .. о. R ice day че, - к. 4 и 6 7 + 3. - С. eles“, 1 ч, е * с

ce trigo q e 4 foco et at t=0 q 20 CE - 4 €. Co Jaz 4€oco (1 - e rico TR, = 2 Roy - عاع عن -----ttrico 4 foco e Rico -ETRICO FR, E2R - E the 4to ethics -t/Roton d = u Focolare - + aRoco ce - uho -t/koco ). in ko (1 te хк t/broch VR = IRRI = 460 e R = 2to Vez ubolinė t/2206

u - 2 = 2 Roc volt) - ato 13.750 365€ 3.51€ -- 3.26€ 2.53€ 2, 22, 32