Concept explainers
(a)
The energy stored in the capacitor at any time t
.
(a)
Answer to Problem 32.54P
Explanation of Solution
Given info: The inductance of the inductor is
Formula to calculate the angular frequency of the LC circuit is,
Substitute
Formula to calculate the energy stored in the capacitor at any time
Formula to calculate the instantaneous value of the charge is,
Here,
Substitute
Here,
Substitute
Thus, the energy stored in the capacitor at any time
Conclusion:
Therefore, the energy stored in the capacitor at
(b)
The energy stored in the inductor at any time t
.
(b)
Answer to Problem 32.54P
Explanation of Solution
Given info: The inductance of the inductor is
Formula to calculate the current in the circuit is,
Substitute
Formula to calculate the energy stored in the inductor at ant time
Here,
Substitute
Substitute
Thus, the energy stored in the capacitor at any time
Conclusion:
Therefore, the energy stored in the capacitor at any time
(c)
The total energy in the circuit.
(c)
Answer to Problem 32.54P
Explanation of Solution
Given info: The inductance of the inductor is
Formula to calculate the total energy in the circuit is,
Here,
Substitute
Thus, the total energy in the circuit is
Conclusion:
Therefore, the total energy in the circuit is
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Chapter 32 Solutions
EBK PHYSICS:F/SCI.+ENGRS.,TECH.UPDATED
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