Concept explainers
(a)
The potential difference across each capacitor.
(a)
Answer to Problem 45P
The potential difference across first capacitor is 5.4 V and the potential difference across second capacitor is 3.6 V.
Explanation of Solution
Given info:
The capacitance of the first capacitor is,
The capacitance of the second capacitor is,
The voltage of the battery is,
Formula Used:
The expression to calculate the potential difference across first capacitor is,
The expression to calculate the potential difference across second capacitor is,
Calculation:
Substitute all the values in the above expression.
Substitute all the values in the above expression.
Conclusion:
Therefore, the potential difference across first capacitor is 5.4 V and the potential difference across second capacitor is 3.6 V.
(b)
The charge on each capacitor.
(b)
Answer to Problem 45P
The charge on the first capacitor is
Explanation of Solution
Formula Used:
The expression to calculate the charge on the first capacitor is,
The expression to calculate the charge on the second capacitor is,
Calculation:
Substitute all the values in the above expression.
Substitute all the values in the above expression.
Conclusion:
Therefore, the charge on the first capacitor is
(c)
The potential difference across each capacitor and charge on the each capacitor for parallel combinations of the capacitors.
(c)
Answer to Problem 45P
The charge on the first capacitor is
Explanation of Solution
Formula Used:
Both the capacitors are in the parallel combination, so potential difference across each capacitor in parallel combination remains same. The potential difference across each capacitor is 9 V.
The expression to calculate the charge on the first capacitor is,
The expression to calculate the charge on the second capacitor is,
Calculation:
Substitute all the values in the above expression.
Substitute all the values in the above expression.
Conclusion:
Therefore, the charge on the first capacitor is
Chapter 19 Solutions
Physics: Principles with Applications
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