Concept explainers
(a)
The total energy stored in the system.
(a)
Answer to Problem 56AP
Total energy stored in the system is
Explanation of Solution
Below figure shows the system of four capacitors.
Figure-(1)
Write the expression for equivalent capacitance for series capacitors.
Here,
Write the expression for equivalent capacitance for parallel capacitors.
Here,
Write the expression for net equivalent capacitance.
Here,
Write the expression for energy stored in the system.
Here,
Conclusion:
Substitute,
Further solve the above equation.
Substitute,
Further solve the above equation.
Substitute
Substitute
Further solve the above equation.
Therefore, total energy stored in the system is
(b)
The energy stored by each capacitor.
(b)
Answer to Problem 56AP
Energy stored at
Explanation of Solution
Write the expression for charge in the capacitor.
Here,
Write the expression for energy stored in the capacitor.
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, energy stored at
(c)
The observation from part (a) and part (b).
(c)
Answer to Problem 56AP
Sum of the answers of part (a) is same as part (b).
Explanation of Solution
Write the expression for total energy stored.
Conclusion:
Substitute
Therefore, sum of the answers of part (a) is same as part (b).
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Chapter 26 Solutions
Bundle: Physics for Scientists and Engineers with Modern Physics, Loose-leaf Version, 9th + WebAssign Printed Access Card, Multi-Term
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