Solution Found!
Solved: For the capacitor net-work shown in Fig. E24.29,
Chapter 24, Problem 31E(choose chapter or problem)
Problem 31E
For the capacitor network shown in Fig. E24.31, the potential difference \(a b\) across 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.
Equation Transcription:
Text Transcription:
ab
35 nF
75 nF
Questions & Answers
QUESTION:
Problem 31E
For the capacitor network shown in Fig. E24.31, the potential difference \(a b\) across 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.
Equation Transcription:
Text Transcription:
ab
35 nF
75 nF
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,
Here we have nF
F and
nF
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. Hence the we have
Hence the total charge stored in the capacitor is 24.2 µC.