Consider the figure below. (a) Find the charge stored on each capacitor in the f

Question

Consider the figure below.

(a) Find the charge stored on each capacitor in the figure shown above (C1 = 16.2 F, C2 = 9.14 F) when a 1.64 V battery is connected to the combination.

C

(b) What energy is stored in each capacitor?

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Q1 =
C Q2 =
C Q3 =

C

Consider the figure below. (a) Find the charge stored on each capacitor in the figure shown above (C1 = 16.2 ½F, C2 = 9.14 ½F) when a 1.64 V battery is connected to the combination. Q1 = C Q2 = C Q3 = C

Explanation / Answer

a)

Here , C1 = 16.2 uF

C2 = 9.14 uF

V = 1.64 V

Here , as C1 and C2 are in parallel ,

C = 9.14 + 16.2

C = 25.34 uF

now , C and 0.3 uF are in series

1/Ceq = 1/C + 1/.3

1/Ceq = 1/25.34 + 1/.3

Ceq = 0.296 uF

now , Charge on C3 is = 0.296 * 1.64

Q3 = 0.486 uC

the charge on C3 is 0.486 uC

and Q1 = 0.486 * 16.2/(16.2 + 9.14)

Q1 = 0.311 uC

the charge on c1 is 0.311 uC

Q2 = 0.486 - 0.311

Q2 = 0.175 uC

the charge on c2 is 0.175 uC

b)

Here , as the energy stored in capacitors is :

E1 = 0.5 * (0.311 *10^-6)^2/(16.2 *10^-6)

E1 = 2.985 *10^-9 J

and

E2 =   0.5 * (0.175 *10^-6)^2/(9.14 *10^-6)

E2 = 1.675 *10^-9 J

and

E3 = 0.5 * (0.486 *10^-6)^2/(0.3 *10^-6)

E3 = 3.937 *10^-7 J

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