Lecture 34 Energy in a Capacitor and Inductor: In Capacitors:For Inductors:

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Presentation transcript:

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 = x max

LC Circuit Analogy

Check: where

RLC Circuit – Loop Equation Always positive Each term can be positive or negative. P L + P C stays negative Graph of Q and I of Dampened Oscillation: