Question

On an RC circuit where:

the units of E (t) are Volts. Find the charge in Colulombs on the Capacitor at time t = 9 seconds. Take q (0) = 0.

1 4.- En un circuito RC donde Cr. 400 F, R=600 N2 , y Elt) 4 si 0 <t < 3, -4 si 3 <t < 6, 0 si 6 <t las unidades de E(t) son Voltios. Encuentre la carga en Colulombs en el Condensador en el tiempo t=9 segundos. Tome q(O)=0. (20 puntos).

Answer 1

R=6000 Elt) estof 400 Give 91050 Vlo) = 0 Elt): 4 V; OF oc tc3 -4V; 3 ste 6 tz 6 Elt) 41 3 6 -4V Case is for out < 3 sec V.(t): V(v) (2-044) + Violett RCS VO) 4V & Is 6 4 Bir - Volt) 4(1-est) e št) +0 $ 23 ) 50-864x4 Vc (3) 401 Vc13) = V(131) - 3.46 v 3

Lt 3 7 e Volt ) = Vreo) ( ) + V6 (21) (l-ett-3 6 1100) = -4 & TE 3 2 Volt) -4 (2-24) + 3.46 € 14:3) :-) Vc (6") = -4/4-2 6*??) +3.46 € (6-3) Vc (6) -4 (1-22) 4 +7.4662 c +3.46 ě 2 Nc (6) = V(167) :-3V Case (i) When t>6 Vele) s vi)(0-24499) + tvc (6t) e 하는 1.5 VO) = 0 & To - (+-6) . is ri Volt) - 3 e $(46) ? No(t) = -3 ellos v Change on capacitor at tagoce = (95)x+ 8 = -3 e 400 400 Vc (9)x c C os -3 é? x 400 5 -1.02x103 C . 1.02 mc Jehange at taqree Ausmeer
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