Lecture 34 Energy in a Capacitor and Inductor: In Capacitors:For Inductors:
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Lecture 34 rgy in a Capacitor and Inductor: In Capacitors: For Inductors:
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Transcript of Lecture 34 Energy in a Capacitor and Inductor: In Capacitors:For Inductors:
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Lecture 34Energy in a Capacitor and Inductor:
In Capacitors: For Inductors:
![Page 2: Lecture 34 Energy in a Capacitor and Inductor: In Capacitors:For Inductors:](https://reader033.fdocuments.in/reader033/viewer/2022051316/5697bf9c1a28abf838c93533/html5/thumbnails/2.jpg)
Mechanical Analogy: Mass Spring System
Corresponds to:
LC circuits oscillate much in the same way a mass spring system oscillates
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LC Circuit
Basic Equations:
Loop Equation:
Power Equation:
Conservation of Energy:
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Solving the Loop Equation – Analogy to Mass-Spring System
Solution:
Comment:General Solution:
(δ is the initial phase angle of the oscillation)
Often set δ = 0, where at t = 0, the initial condition is chosen to be x = xmax
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LC Circuit Analogy
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Check:
where
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RLC Circuit – Loop Equation
Always positive
Each term can be positive or negative.
PL + PC stays negative
Graph of Q and I of Dampened Oscillation: