1. How much charge does a 17V battery have to supply to fully charge a 2.8uf cap

Question

1. How much charge does a 17V battery have to supply to fully charge a 2.8uf capacitor and a 4.6uf capacitor when they are in parallel?
2. How much charge when they are in series?
3. How much energy does the battery have to supply when they are in parallel?
4. How much energy does the battery have to supply when they are in series? 1. How much charge does a 17V battery have to supply to fully charge a 2.8uf capacitor and a 4.6uf capacitor when they are in parallel?
2. How much charge when they are in series?
3. How much energy does the battery have to supply when they are in parallel?
4. How much energy does the battery have to supply when they are in series?
2. How much charge when they are in series?
3. How much energy does the battery have to supply when they are in parallel? 2. How much charge when they are in series?
3. How much energy does the battery have to supply when they are in parallel?
4. How much energy does the battery have to supply when they are in series?

Explanation / Answer

1)The equivalent capacitance when the capacitors are connected in parallel combination

c_eq = ( 2.8 + 4.6 ) microF = 7.4 micro F

Charge

Q = C_eq V = ( 7.4 micro F ) ( 17 V ) = 0.125 mC

2)

The equvalent capacitance when they are connectd in series combination

C' = C_1 C_2 / C_1 + C_2

= ( 2.8 ) ( 4.6 ) / ( 2.8 + 4.6 ) micro F = 1.74 micro F

Charge

Q = C V = ( 1.74 micro F ) ( 17 V ) = 29.58 micro C

3)

energy stored when the capacitors are in parallel combination

U _ parallel = Q^2 / 2 C = (0.125 *10^ -3 )^2 / 2 ( 7.4*10^ -6 F )

= 0.001 J = 1 mJ

4)

energy stored when the capacitors are in series combination

U _ series = Q^2 / 2 C = (29.58 *10^ -6 )^2 / 2 ( 1.74*10^ -6 F )

=251*10^-6 J = 0.251 mJ

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