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For the capacitor net-work shown in Fig. E24.29, the

Chapter 24, Problem 31E

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QUESTION:

For the capacitor net-work shown in Fig. E24.29, the potential difference across ab is 220 V. Find

(a) the total charge stored in this network;

(b) the charge on each capacitor;

(c) the total energy stored in the network;

(d) the energy stored in each capacitor;

(e) the potential difference across each capacitor.

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QUESTION:

For the capacitor net-work shown in Fig. E24.29, the potential difference across ab is 220 V. Find

(a) the total charge stored in this network;

(b) the charge on each capacitor;

(c) the total energy stored in the network;

(d) the energy stored in each capacitor;

(e) the potential difference across each capacitor.

ANSWER:

Introduction We have to first calculate the total charge stored in the capacitor. Then we have to calculate the charge in each capacitor. Then we have to calculate the total energy stored in the network and the energy stored in each capacitor. And finally we have to calculate potential difference in each capacitor. Step 1 The capacitors in the given network are connected in parallel connection. Hence the total capacitor of the network is given by, 9 6 Here we have C = 31 nF = 35 × 10 F and C =275 nF = 75 × 10 F. Hence the total capacitance is Hence the total charge stored in the capacitor network is given by We know from the given problem that V = 220 V. Hence the we have Hence the total charge stored in the capacitor is 24.2 µC.

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