How much energy must a 24-V battery expand to change a C_1 = 0.54 mu F and a C_2

Question

How much energy must a 24-V battery expand to change a C_1 = 0.54 mu F and a C_2 = 0.25 mu F capacitor fully when they are placed in parallel? Express your answer to two significant figures and Include the appropriate units How much charge flowed from the battery in that case? Express your answer to two significant figures and Include the appropriate units. How much energy most a 24-V battery expend to charge a 0.54 mu F and a 0.25 mu F capacitor fully when they are placed in series? Express your answer to two significant figures and Include the appropriate units. How much charge flowed from the battery in that case? Express your answer to two significant figures and Include the appropriate units.

Explanation / Answer

c)

here

the capacitors connected in series

so the equivalent capacitance is Ceq = 1 / ( 1 / 0.54 + 1 / 0.25 )

Ceq = 0.1708 uF

then the energy stored is

U = 0.5 * C * V^2

U = 0.5 * 0.1708 * 10^-6 * 24^2

U = 4.919 * 10^-5 J

d)

Q = Ceq * V

Q = 0.1708 * 10^-6 * 24 = 4.1 * 10^-6 C

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