Concept explainers
(a)
The equivalent capacitance of the system.
(a)
Answer to Problem 19P
The equivalent capacitance of the system is
Explanation of Solution
Write the expression for equivalent capacitance for upper capacitor connected in series.
Here,
Write the expression for equivalent capacitance for lower capacitor
Here,
Write the expression for equivalent capacitance for capacitor
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the equivalent capacitance for the system is
(b)
The charge on each capacitor.
(b)
Answer to Problem 19P
The charge in capacitor
Explanation of Solution
For series connection the charge remains constant.
Write the expression for the charge in the upper row.
Here,
Write the expression for the charge in the lower row.
Here,
Conclusion:
Substitute
The charge on
Substitute
The charge on
Therefore, the charge in capacitor
(c)
The potential difference across each capacitor.
(c)
Answer to Problem 19P
The potential difference in capacitor
Explanation of Solution
Write the expression to calculate the potential difference across
Here,
Write the expression to calculate the potential difference across
Here,
Write the expression to calculate the potential difference across
Here,
Write the expression to calculate the potential difference across
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the potential difference in capacitor
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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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