Two capacitors with capacitances of 1.0 mF and 0.50 mF,respectively,are connected in series.The system is connected to a 100-V battery.What electrical potential energy is stored in the 1.0-mF capacitor? A)0.065 x 10^-3 J B)4.3 x 10^-3 J C)0.80 x 10^-3 J D)5.6 x 10^-4 J

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Quizplus · Accepted Answer

The equivalent capacitance for capacitors in series is given by 1/C_eq = 1/C1 + 1/C2. The equivalent capacitance is 0.333 mF. The total energy stored is (1/2)C_eq*V^2 = 1.67 x 10^-3 J. The voltage across the 1.0 mF capacitor is 33.3 V, and the energy stored is (1/2)C1*V1^2 = 5.6 x 10^-4 J.

Two Capacitors with Capacitances of 1