Concept explainers
For the system of capacitors shown in Figure P16.41, find (a) the equivalent capacitance of the system, (b) the charge on each capacitor, and (c) the potential difference across each capacitor.
Figure P16.41 Problems 41 and 60.
(a)
The equivalent capacitance.
Answer to Problem 41P
The equivalent capacitance is
Explanation of Solution
The capacitors
The capacitors
The capacitances
Therefore,
Substitute
On Re-arranging,
Conclusion:
The equivalent capacitance is
(b)
The charge on each capacitor.
Answer to Problem 41P
The charge on
The charge on
Explanation of Solution
Formula to calculate the charge on
Therefore,
Substitute
Formula to calculate the charge on
Therefore,
Substitute
Conclusion:
The charge on
The charge on
(c)
The potential difference on each capacitor.
Explanation of Solution
The potential difference on
The potential difference on
Formula to calculate the potential difference on
Substitute
Formula to calculate the potential difference on
Substitute
Conclusion:
The potential difference on
The potential difference on
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Chapter 16 Solutions
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