Question

4. (20 points) A current waveform shown in the Fig. 4. | (mA) t(s) -3 -2 -1 1 2 3 4 5 6 Figure 4: Current waveform flowing through an inductor. (a) (15 points) Determine the capacitor voltage at t=1s, 3s, and 5s, which results from the capacitor with capacitance C = 311F. Capacitor voltage was 3V at -1s. (b) (5 points) Sketch the capacitor voltage.

Answer 1

Answer)

-> voltage across capacitor is calculated for given time

-> The current across capacitor is given in waveform

-> Voltage across capacitor given by

V_c(t) = 1/C $\int_{-infifnity}^{t}$ i(t) dt

_> Waveform also plotted form the given duration.

** Detail Solution is attached here.

{ (MP) current warefum ita Anp. Toot - Lot 1 + 2 gooot t<t</ Istes 47,3 - Aura a Ve C&=-1) = 3 meet veltage acron the Capacitor gmen by Veld) = finde - UCH-1) + Condu - 3+ 386 (Tom) Ź (4²) Uc(t = ) & de- velt= 1 sec) = 3 not Scanned with CamScanner

veltage alonen capacitor at t = are Uc (9=30= UCC-1) + Į ſienet 234 Gators of Laplis WC (4-3) 3- 2000 U = -663.66 helt 1 veltage acras Capacitor at ta 5 see VCG-5) = VEL=33+ + f cience = 463.6+ kr 2 x1, LA"); ::-667-66 + y = x(95-9) - - 663.66 + 10 ao 3 Uct.s) = 1114.117 hou. Scanned with CamScanner

14.12 nes Jervell) M69.66 treg -663.66 Greaty veltage werelan Scanned with CamScanner