Three identical capacitors P, Q and S, each of the capacitance C, are connected to a battery of voltage V, as shown in the figure. If the energy stored in the capacitor P and total energy stored in the system are U_P and U_T, respectively, then the ratio (U_P)/(U_T) is :

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(4) 1/6. P and Q are in series across the battery, so each has V/2; S is directly across the battery, so it has V. U_P=U_Q=1/2C(V/2)²=1/8CV²; U_S=1/2CV². U_T=1/8CV²+1/8CV²+1/2CV²=3/4CV². (U_P)/(U_T)=(1/8)/(3/4)=1/6.

Three identical capacitors P, Q and S, each of the capacitance C, are connected to a battery of voltage V, as shown in the figure. If the energy stored in the capacitor P and total energy stored in the system are U_P and U_T, respectively, then the ratio (U_P)/(U_T) is :

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