(a)
The charge on the capacitor plate.
(a)
Answer to Problem 99P
The charge on the capacitor plate is
Explanation of Solution
Given:
The value of emf is
The value of capacitance is
The resistance is
Formula used:
The expression for the charge as a function of time is given as,
Calculation:
The charge on the capacitor plate after
Conclusion:
Therefore, the charge on the capacitor plate is
(b)
The rate of increasing charge.
(b)
Answer to Problem 99P
The rate of increasing charge is
Explanation of Solution
Formula used:
The expression for rate of increasing charge is,
Calculation:
The rate of increasing charge after
Conclusion:
Therefore, the rate of increasing charge is
(c)
The current after
(c)
Answer to Problem 99P
The current after
Explanation of Solution
Formula used:
The expression for current is,
Calculation:
From equation (1) and (2), the current after
Conclusion:
Therefore, the current after
(d)
The power supplied by battery.
(d)
Answer to Problem 99P
The power supplied by battery is
Explanation of Solution
Formula used:
The expression for power is,
Calculation:
The power supplied by battery after
Conclusion:
Therefore, the power supplied by battery is
(e)
The power delivered to resistor.
(e)
Answer to Problem 99P
The power delivered to resistor is
Explanation of Solution
Formula used:
The expression for power delivered to resistor is,
Calculation:
The power supplied by battery after
Conclusion:
Therefore, the power delivered to resistor is
(f)
The rate of stored energy.
(f)
Answer to Problem 99P
The rate of stored energy is
Explanation of Solution
Formula used:
The expression for stored energy is,
Calculation:
Differentiate equation (3) with respect to time,
The rate of stored energy is calculated as,
Conclusion:
Therefore, the rate of stored energy is
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Chapter 25 Solutions
Physics for Scientists and Engineers, Vol. 3
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