Question

04: For the RC circuit shown with its natural response during the charging and discharging process in DC. Find the following: R w a) The value of E. b) The value of R1 and Rz. c) The value of C in microfarad (uF). R2 ic + uc Charging Process "Switch at 1" Discharging Process "Switch at 2" VC 12 V (5 ms) ST (10ims) (15 ms) (22.5 ms) tic 0.6 mA (5 ms) 57 (10ms) 107 (15 ms) (22.5 ms) -0.4 mA

Answer 1

at Volt) - 12 2(1-p-t/r,c) Now, we have ic (t) = c d Velt) ie(t)= 120 d (1-e-t|R,c) delt) = 1266-e-tlac) ( since & (e-ax)= x-ax (-a) at R, C ic(t) = 12 e -e-tlR,c A Ry

ve(t) = 121 e-(t-ioms)/(R+R2)C) 1=(R+Rac So, when switch is moved to 2 at t = coms; we can write; so ic(t) = cd (120-64-roms)/(Ritr2)c) at i(t) = 120 xe-t-Iorns)/(R, FR, c -(R, +Rac from the Graph at t = oms; ic (coms) = -0.4MA on frutting iclioms) = -0.4m A

-0.4x10-33 - 12 - (roms-loms)/(R+R2) (R1+R2) il 12 E 0.4x10-3 Ritra R, +R2 12 0.4x10-3 R, + Ra=30kr. on trutting R, = 20kn Ra = IOKN

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