Question

Electric circuit problem

Please answers with detailed steps in understandable handwriting

Problem 2. A voltage source is connected to a 300 nF capacitor. The voltage v(t) is given by: (2 tv, Osts 6s v(t) = 2 (t – 12)2V, 65ts 12s 0, otherise a. Find an expression for the current through the capacitor b. Sketch (or plot using a computer) the voltage and current from 0 to 12 s. (If you use Matlab please include a listing of your Matlab commands) c. is the current or voltage discontinuous, and if so is this a problem?

Answer 1

Capacitor c=3oont given not osteos : I. CHT=30 (4-12M 6 st <.12 : Othereoise Current flowing through a capacitor is c alientes ! at osteo c .) = (4+) x 3000€ -(1200Nf)#t: at oster izce (2 ct-2)) = 2(24 * _ 243«C€ dt =(45-48)x300nf .. WIIIIIIIIIIIIIIIIIIIIJUU curent & voltage is not discontinous s between oto 12sec. after that it is discontinous functions. even though it it is discontinous function, the capacitor functions in CS Scanned wormal. CamScanner

MATLAB R2016a HOME PLOTS APPS EDITOR PUBLISH VIEW C e a C5 Search Documentation E D Run Section New Open Save Run Run and Advance Advance Run and Time FILE RUN x Workspace Name ha 1 Current Folder Name - appdata bin etc # examples extern # help java # lib licenses mcr notebook polyspace remote resources rtw runtime settings simulink sys + toolbox Find Files 2 Insert E fx EZ Compare Go To Comment % % % Breakpoints Print Find Indent 1 56 NAVIGATE EDIT BREAKPOINTS C: Program Files ► MATLABR2016a ► Editor - C:\Users\S.J.V.PRAKASH\Desktop\pgmm2.m pgmm2. mx + syms x real t1=0:0.536 vl=2* (t1.^2) t2=6:0.5:12 v2=2* ((t2-12).^2) t3=12:0.5:18 v3=0*t3 v=[v1, v2,v3] t=[t1, t2, t3] plot(t,v) icl=(300*10^-9) *diff (v1) ic2=(300*10^-9) *diff (v2) ic=[ici,ic2] tt=0.5:0.5:12 plot(tt, ic) in wis Occan BBBBBBBBBBBBO Value 1x24 double 1x12 double 1x12 double 1x39 double 1x13 double 1x13 double 1x13 double 1x24 double 1x39 double 1x13 double 1x13 double 1x13 double 1x1 sym # # # # # # + uninstall license agreement.txt E MCR_license.txt Command Window Columns 12 through 22 Details 6.0000 6.5000 7.0000 7.5000 8.0000 8.5000 9.0000 9.5000 10.0000 10.5000 11.0000 Columns 23 through 24 Select a file to view details 11.5000 12.0000

v(t) 0 2 4 6 8 10 12 14 16 18

a ×106 - i(t) 0 - | | 2 4 6 8 10 12