Part A A Three capacitors are in series: C 15 F, C 70 Compute the equivalent cap

Question

Part A A Three capacitors are in series: C 15 F, C 70 Compute the equivalent capacitance AuF and C3 3 85 AuF The series combination is Express your answer to two significant figures and include the appropriate units connected across a 48 V battery Value LUnits Submit My Answers Give Up Part B Find the charge on the capacitor C1 Express your answer to two significant figures and include the appropriate units Value nits Q1 Submit My Answers Give Up Part C Compute the energy stored in the capacitor C1 Express your answer to two significant figures and include the appropriate units Value nits Submit My Answers Give Up

Explanation / Answer

A.) for a series connection of capacitiors 1/Ceq = 1/C1  + 1/C2 + 1/C3  

1/Ceq = 1/15 + 1/70 + 1/85 = 0.09271708683

Ceq = 10.78549849 F

B.) Q = V/ Ceq = 48 / ( 10.78549849 x 10-6 ) = 4450420.168 C

Since charge is same on all the capacitors connected in series, charge on the first capacitor is 4450420.168 C

C.) Energy stored in the capacitor 1 = 0.5Q2 /C1 = 0.5 x 4450420.1682 / (15 x 10-6 ) = 6.602079891 x 1017 J

D.) Since charge is same on all the capacitors connected in series, charge on the second capacitor is also 4450420.168 C

E.) Energy stored in the capacitor 2 = 0.5Q2 /C2 = 0.5 x 4450420.1682 / (70 x 10-6 ) = 1.414731405 x 1017 J

F.) Since charge is same on all the capacitors connected in series, charge on the third capacitor is also 4450420.168 C

G.) Energy stored in the capacitor 3 = 0.5Q2 /C3 = 0.5 x 4450420.1682 / (85 x 10-6 ) = 1.165072922 x 1017 J

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