A C 1 = 2.60 ? F capacitor is charged to 855 V and a C 2 = 7.20 ? F capacitor is

Question

A C1 = 2.60?F capacitor is charged to 855V and a C2 = 7.20?F capacitor is charged to 661V . These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. Part A What will be the potential difference across each? [Hint: charge is conserved.] Enter your answers numerically separated by a comma. V1, V2 =   V Part B What will be the charge on each? Enter your answers numerically separated by a comma. Q1, Q2 =   C A C1 = 2.60?F capacitor is charged to 855V and a C2 = 7.20?F capacitor is charged to 661V . These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. A C1 = 2.60?F capacitor is charged to 855V and a C2 = 7.20?F capacitor is charged to 661V . These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. A C1 = 2.60?F capacitor is charged to 855V and a C2 = 7.20?F capacitor is charged to 661V . These capacitors are then disconnected from their batteries. Next the positive plates are connected to each other and the negative plates are connected to each other. Part A What will be the potential difference across each? [Hint: charge is conserved.] Enter your answers numerically separated by a comma. V1, V2 =   V Part B What will be the charge on each? Enter your answers numerically separated by a comma. Q1, Q2 =   C Part A What will be the potential difference across each? [Hint: charge is conserved.] Enter your answers numerically separated by a comma. V1, V2 =   V Part A What will be the potential difference across each? [Hint: charge is conserved.] Enter your answers numerically separated by a comma. V1, V2 =   V Part B What will be the charge on each? Enter your answers numerically separated by a comma. Q1, Q2 =   C Part B What will be the charge on each? Enter your answers numerically separated by a comma. Q1, Q2 =   C

Explanation / Answer

Charge on C1

Q1=C1V1 =2.6*10^-6*855

Q1=2.223*10^-3 C

Charge on C2

Q2=C2V2=7.2*10^-6*661

Q2=4.76*10^-3 C

equivalent capacitance

C=C1+C2=2.6+7.2

C=9.8 uF

Total charge

Q=Q1+Q2 =2.223*10^-3+4.76*10^-3

Q=6.983*10^-3 C

a)

V1'=V2'=Q/C =6.983*10^-3/9.8*10^-6

V1'=V2'=712.55 V

b)

Q1'=C1V1'=2.6*10^-6*712.55

Q1' =1.85*10^-3 C or 1.85 mC

Q2'=C2V2' =7.2*10^-6*712.55

Q2'=5.13*10^-3 C or 5.13 mC

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