Question

Consider the series and parallel connection: w ww un v 31, 31, 313 Give the expressions for the equivalent inductors for the series and the parallel connections. II. Consider an inductor connected across the voltage v is shown ht IIa Give expressions for the following: Expression relating the charge 9 and the applied voltage v • Expression relating the current i and the charge I • Expression relating the current i and the voltage v • Expression for the power P • Expression for the energy w II b. If the voltage sinusoidv(t) =sin ot and the capacitor C =5(10- F compute the above: • • Expression relating the charge I and the applied voltage v Expression relating the currenti and the charge 9 Expression relating the current i and the voltage v Expression for the power P Expression for the energy W

Answer 1

for Series connection for Parallel connection v 34 3 I so t + the LEQ = 4,2243 EQ 2 Lith+Lo. - 44+4243 +234, (Aucti ca U= dw Voltage is work done per unit charge dov → * PE UI - 12di W Energy fedt - fridi

(6) (= 5 (10-6). Given V(t)= sinut EVST Q-Cv 18 = 5x10-6 » Q: 5+10 6 columbs → cortent is de » isw6x166 cosiot * .. 1-c dự 2 + Skoº (Sina) Te = 5xlobxw = cosut I . pz CDI = sinut. 5x106w coscit Pe Salo6w sinuit coswt ] energy E= Se.de E = S saloto sinzust at Sinct 225infaaswt E = Sxiobis x2W cosawr LE2 SX106 w2 coszul