A 11.1 microfarad capacitor, C1, was charged to voltage 36.V and connected in pa

Question

A 11.1 microfarad capacitor, C1, was charged to voltage 36.V and connected in parallel to an uncharged capacitor C2. What is the capacitance of the second uncharged capacitor C2 if the final voltage is 4.47V? Express the answer to three significant figures. Tip: You can use scientific notation to represent numeric values. Eg: -0.0001 can be written as 1.0e-4 or as 1.0E-4. Space are not allowed.

A 11.1 microfarad capacitor Cf_1 was charged to voltage 36.5 V and connected in parallel to an uncharged capacitor C_2. What is the capacitance of the second uncharged capacitor C_2, if the final voltage is 4.4 V? Express the answer to three significant figures. You can use scientific/exponential notation to represent numeric values. E.g., -0.0001 can be written as 1.0e - 4 or as 1.0E-4. Spaces are not allowed.

Explanation / Answer

charge on C1, Q = C1 V = 11.1 uF x 36.5 V

Q = 405.15 uC

after that,

total charge on circuit, Q' = C1 V' + C2 V'

Q' = (11.1 + C2)(4.4)

Appplying charge conservation,

Q = Q'

405.15 = (11.1 + C2) (4.4)

C2 = 81 uF Or 8.1E-5 F ....Ans

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