Capacitors C1=1900nanoFarad and C2=700nanoFarad are initially connected in paral

Question

Capacitors C1=1900nanoFarad and C2=700nanoFarad are initially connected in parallel and hold a combined charge of Q0=757nanoCoulombs. Find the charge on each capacitor and the energy stored in the system.

a). Q1 = ___ nanoCoulombs
Q2 = ___ nanoCoulombs
Uinitial = ___ nanoJoules

b).The capacitors are then disconnected and reconnected with their terminals reveresed, so that the positively charged side of C1 is now connected to the negatively charged side of C2 and vice versa. Find the combined charge and energy stored in the final state.

Qfinal = ___ nanoCoulombs
Ufinal = ___ nanoJoules

Explanation / Answer

Q1 = Q0 ( C2/ (c1+c2)) = 757 * ( 700/ 2600) = 203.8 nC Q2 = Q0 ( C1/ (c1+c2)) = 757 * ( 1900/ 2600 = 553.2 nC Uinitial = 1/2*q^2/c = 1/2(203.8^2/700 + 553.2^2/1900) = 110.2 nJ (b) When the given process is done. Net charge on each capacitor = 553.2 - 203.8 = 394.4 nC Ufinal = 1/2(394.4^2)(1/700 + 1/1900) = 152 nJ

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