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Three capacitors with capacitances C1 = 1.50 nF,C2 = 2.50 nF, and C3 = 5.50 nf a

ID: 1502729 • Letter: T

Question

Three capacitors with capacitances C1 = 1.50 nF,C2 = 2.50 nF, and C3 = 5.50 nf are wired to a battery with V = 16.0 v, as shown in the figure what is the potential drop across capacitor C2? A 4.00 103 nf parallel plate capacitor is connected to a 14.0 V battery and charged What is the charge Q on the positive plate of the capacitor? What is the electric potential energy stored in the capacitor? The 4.00 103-nF capacitor is then disconnected from the 12.0-V battery and used to charge two uncharged capacitors, a 100.-nF capacitor, a 200.-nF capacitor, connected in series. After charging, what is the potential difference across each of the three capacitors?

Explanation / Answer

3)    Net capacitance of circuit = 2.434 nF

=> Net charge from battery = 2.434 * 16 = 38.94 nC

=> potential drop across C2 = 16 - (38.94/3.50)

                                             = 4.874 V

4) a) charge on positive plate = 4000 * 14 * 10-9 = 5.6 * 10-5 C

     b)   Electric potential energy = 1/2 * 4000 * 10-9 * 14 * 14 = 3.92 * 10-4 J

c)      potential difference across   4000 nF = 65.57 * 12/4000

                                                                       = 0.196 V

        potential difference across   200 nF = 65.57 * 12/200

                                                                    = 3.93 V

        potential difference across   100 nF = 65.57 * 12/100

                                                                  =   7.868 V

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