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Lecture 34. Energy in a Capacitor and Inductor:. In Capacitors:. For Inductors:. Mechanical Analogy: Mass Spring System. Corresponds to:. LC circuits oscillate much in the same way a mass spring system oscillates. LC Circuit. Basic Equations:. Loop Equation:. Power Equation:.
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Lecture 34 Energy in a Capacitor and Inductor: In Capacitors: For Inductors:
Mechanical Analogy: Mass Spring System Corresponds to: LC circuits oscillate much in the same way a mass spring system oscillates
LC Circuit Basic Equations: Loop Equation: Power Equation: Conservation of Energy:
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
Check: where
RLC Circuit – Loop Equation Graph of Q and I of Dampened Oscillation: Each term can be positive or negative. PL + PC stays negative Always positive