Question

I need to know how to answer the first one, thanks in advance!

1. Consider the circuit shown in Fig. 1. p(t) = - 2 + 2t watts <t<sec., (a) Determine the equations for the voltage v(t), and the current i(t). (6) Sketch y(t), and p(t). (c) Determine the total energy absorbed by the circuit eleme 2. Determine the value of the current IA and the voltage V, in the circuit shown in Fig. 2. Vo= 12V. 3. Consider the circuit shown in figure 3. (a) Determine the value of the currents Iw, and Ix. (b) Show that the power supplied is equal to the power absorbed. Fig. 2 + V W 20 i(t) D P -> 20 On 288 iſt) (A) 1 - - - 5n 23 20v Fig. 1 Fig. #3

Answer 1

Que 1:- PEE) = -2t+2t @ Equation for voltage and current id) 29 i(t) = it to OLALI equation of line=y=mate m=slope ca interseept on Yak to = 1+ t2 kt 22 Hence ets = equation of it) s t ostel -t+2 Itez Now, PEL) = VE 161 Vlt) = Plt) = | 1 - - -2t² +2t 1 t) Because plts in only defined forotll so, últs only take » vt) - X 1-2t +2) equation of uits Ult) = -2t+2 in range of Olten

line, we need Two Point of line sketch of uits Vt) = ~2 + 12 It is equation to draw the Let ut) = 0 0=-2 ++2 28=2 t =1 Let to V(t) = 2Xo+2 (10) VE) = 2 (0,2) - itt! sketch of Pets PU - -2+2 +2+ it is equation of Parabola, so we need roots of Plt) [ which cut the t anus] P(t) = -24² +2t to +(-2t+2) = 0 to at +250 -2x = -2 t=-2 /2=1 (0, 0) (10) | Two point where yats aut ilt)

Plt) (90) Total Energy absobed by circuit element Ech) = pes dt - 5 (-2+at) at = {-dt + szt dt = 31720) + (12-0) -2 -273- + 3 wi- Hence, Energy absorbed by circuit