(a)
The battery current just after closing switch S.
(a)
Answer to Problem 102P
The battery current just after closing the switch S is
Explanation of Solution
Given:
The value of emf is
The value of capacitances are
Formula used:
Apply Kirchhoff’s rule in circuit just after switch is closed,
Here,
Calculation:
The equivalent resistance of parallel resistors
From equation (1), the battery current just after closing switch S is calculated as,
Conclusion:
Therefore, the battery current just after closing the switch S is
(b)
The battery current a long time after closing the switch S.
(b)
Answer to Problem 102P
The battery current a long time after closing the switch S is
Explanation of Solution
Formula used:
Apply Kirchhoff’s rule in circuit a long time after switch is closed,
Here,
Calculation:
The equivalent resistance of series resistors
From equation (2), the battery current a long time after closing switch S is calculated as,
Conclusion:
Therefore, the battery current a long time after closing the switch S is
(c)
The charges on capacitors plates a long time after closing the switch S.
(c)
Answer to Problem 102P
The charges on capacitors plates a long time after closing the switch S are
Explanation of Solution
Formula used:
Apply Kirchhoff’s rule in circuit containing resistors
Apply Kirchhoff’s rule in circuit containing resistors
The expression for charge on capacitor
The expression for charge on capacitor
Calculation:
From equation (3), the potential difference
From equation (4), the potential difference
The charge on charge on capacitor
The charge on charge on capacitor
Conclusion:
Therefore, the charges on capacitors plates a long time after closing the switch S are
(d)
The charges on capacitors plates a long time after reopening the switch S.
(d)
Answer to Problem 102P
The charges on capacitors plates a long time after reopening the switch S is zero.
Explanation of Solution
Calculation:
If the switch S is reopened, then after long time there will not be any flow of current in the circuit. Thus,
The potential difference across
The charges on
Conclusion:
Therefore, the charges on capacitors plates a long time after reopening the switch S is zero.
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