
(a)
The charge on the capacitor
(a)

Answer to Problem 69P
The charge on the capacitor
Explanation of Solution
The switch is closed in the electric circuit and the current exists in a simple series circuit as shown in figure
Write the expression for the power delivered to the resistor.
Here,
Use equation (I) to solve for
Write the expression for the potential difference across the resistor
Here,
Write the expression for the charge on the capacitor
Here,
Conclusion:
Substitute
Substitute
Substitute
Therefore, the charge on the capacitor
(b)
The amount of charge on the capacitor
(b)

Answer to Problem 69P
The amount of charge on the capacitor
Explanation of Solution
Consider the switch is closed to find the emf of the battery and the charge in the capacitor
Write the expression for the potential difference across
Write the expression for the charge on the capacitor
Write the expression for the emf of the battery.
Here,
Write the expression for
Use equation (VIII) in (VII) to solve for
Here,
After the switch is opened, no current exists. The potential difference across each resistor is zero. The emf of the battery appears across both capacitors.
Write the expression for the new charge on the
Write the expression for the amount of the charge on the capacitor is changed
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Therefore, the amount of charge on the capacitor
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Chapter 21 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
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