when it is connected to a 50y Volt battery. How much energy is stored in the cap

Question

when it is connected to a 50y Volt battery. How much energy is stored in the capacitor? (10 points) 7. In the following circuit, Cl= x MuF, C2= x MuF, C3= y MuF, C4= y MuF, C5= 2x MuF and supply voltage between points a and b is 10x volts. Determine how much charge will be stored in C4 capacitor. (15 points) 8. In a RC Circuit. R= 200x Ohm, C = 5000y Mu F and supply voltage is 5 V, Calculate the time (after closing the switch) when voltage across the capacitor will be one-third of the supply voltage? (15

Explanation / Answer

7) C3 and C4 are parallel then C34 = C3+C4 = 2y uF

C34 is in series with C5 then

C345 = C34*C5/(C34+C5) = (2y*2x)/(2y+2x)

C12 = C1+C2 = 2x uF

C12 and C345 are in series then net capacitamce Cent = C12*C345/(C12+C345) = [(2x*2y*2x)/(2y+2x)]/[(2x) + (2y*2x)/(2y+2x)]

x= 2 and y = 6

Cnet = (192/10)/(4+(24/10)) = 3uF

Net charge is Qnet = Cnet *V= 3*10^-6*10*2 =60uC

Cherge on C4 = 30 uC
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8) v = V*1-(e^(-t/T))

T = R*C = 200*2*5000*3*10^-6 = 6 S

v = V/3

V = 5V

then
V/3 = V*(1-e^(-t/6))

e^(-t/6) = =1-(1/3) = 2/3

-t/6 = ln(2/3) = -0.405

t = 0.405*6 = 2.43 S

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